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"e62c40ff7514e714ab6f1a4a2d8ca9e27f46be91e17b3a9fbf73dbb96e2f4930" +} diff --git a/research/kernel92-frame-composition/NOTICE.md b/research/kernel92-frame-composition/NOTICE.md new file mode 100644 index 0000000000..8d3c3349e1 --- /dev/null +++ b/research/kernel92-frame-composition/NOTICE.md @@ -0,0 +1,7 @@ +# Attribution + +Prepared for Rohan Arun (rohanarun) with OpenAI Codex assistance. Apache-2.0. + +This composition combines chafreaky's PR533 92-pivot construction and owner map with the delivery-frame assignment from rohanarun's PR534, prepared with Claude Opus 5.5 assistance. PR534's search and monotone-lift checker are retained unchanged. Its frozen B frames are reused, not claimed as a new search discovery. The scalar word and physical allocation are PR533's. The integration, reconstruction binding and independent replay are this contribution. + +PR531's direct-delivery construction belongs to icekylinx; its entire vendored package and notices remain unchanged. All predecessor credits, including DreamingOfClouds, Dugongue, eumemic and the geometry/compiler authors, remain in PR533-NOTICE.md and vendor/pr531/NOTICE.md. See SOURCES.json for exact commits. diff --git a/research/kernel92-frame-composition/PR533-EXPECTED.json b/research/kernel92-frame-composition/PR533-EXPECTED.json new file mode 100644 index 0000000000..57a5bbf3ea --- /dev/null +++ b/research/kernel92-frame-composition/PR533-EXPECTED.json @@ -0,0 +1,39 @@ +{ + "kappa": "381051987698311/250000000000000000", + "complex_lower": "1526534707131015364923/1000000000000000000000000", + "next_b_rejected": "381633676782753841231/250000000000000000000000", + "bit_lower": "391360506745414227149/250000000000000000000000", + "binding_component": "complex", + "global_profile": { + "1": 146592, + "2": 55584, + "3": 12464, + "4": 28224, + "5": 7616, + "6": 4032, + "7": 944, + "48": 912 + }, + "live": 7168, + "physical": 7682, + "deficit": 2560, + "helper_roles": 36288, + "idle_remainders": 7536, + "local_profile": { + "1": 2036, + "2": 772, + "3": 136, + "4": 392, + "5": 56, + "6": 56, + "7": 8 + }, + "canonical_word_sha256": "941f0c38961f3af59bceb8aebcf219c6297339194841f52c74e9b08bbbad7928", + "local_program_sha256": "a316ab231187402b771a72ba8d72603bd347e9bd6931219c6cdc9bac5a8fcf7e", + "local_phase_recipe_sha256": "0c74f34851588285f1125fc3be7f09e7575d3b47ea05d691a1c9f7193ea1f403", + "global_prefix_bits": 225, + "charged_prefix_bits": 512, + "kernel_omission_controls": 92, + "phase_edges": 2924, + "endpoint_adapters": 224 +} diff --git a/research/kernel92-frame-composition/PR533-NOTICE.md b/research/kernel92-frame-composition/PR533-NOTICE.md new file mode 100644 index 0000000000..6e6d0042d1 --- /dev/null +++ b/research/kernel92-frame-composition/PR533-NOTICE.md @@ -0,0 +1,33 @@ +# Attribution + +This increment was prepared for chafreaky with OpenAI Codex assistance. +Its new contribution is the frozen 92-pivot shared-donor selection for PR531's +504-helper word, a new literal whole-owner allocation, and the fixed verifier +which reconstructs all local phases and checks every selected correction. +The discovery search and pattern-flow nomination produced finite inputs; +the verifier does not trust floating objectives or solver optimality. + +PR531 (icekylinx, with GPT-6 Astra and OpenAI Codex assistance) contributes the +direct-delivery factory, same-partition source frontier, 504-helper inventory, +72-gauge baseline, frame coalescing, 112-port controller binding, and supplier, +owner and invoice checkers. Its complete package and notices are retained +byte-for-byte under `vendor/pr531`, pinned at +`e07a8a3f9f79c22113398a0c5dbbc7601f489b3e`. + +The shared-donor and entrance-gauge implementation is DreamingOfClouds's +credited PR417/433/435/434/440/484 lineage, with Claude Opus 5.5 assistance. +It is reused without changes. PR514 (Dugongue) and PR507 (eumemic) supply the +Hamming packet and partial-own ancestry. PR505 (Dugongue) supplies the +asynchronous scheduling lineage. PR523 (icekylinx) supplies the 112-port +controller and restriction ancestry. PR493 (eumemic) supplies the unchanged +bit operator. PR425/433 (icekylinx), PR370, PR361, PR315 and their credited +contributors supply the geometry, phase, moment and analytic framework. +All source-specific assistance and license notices are retained. + +The full local-phase driver is copied unchanged from PR529's attributed +PR523 reference. PR529's independent kernel scalar checker is adapted only +to read the actual port count instead of the literal 120-port dimension. +PR529 is also the prior frontier comparison; its rank-sector construction +is not imported as an additive improvement to PR531. + +See `SOURCES.json` for immutable pins and file hashes. Apache-2.0. diff --git a/research/kernel92-frame-composition/PR533-README.md b/research/kernel92-frame-composition/PR533-README.md new file mode 100644 index 0000000000..fc74dec3ae --- /dev/null +++ b/research/kernel92-frame-composition/PR533-README.md @@ -0,0 +1,65 @@ +# 92 shared-donor pivots in the direct-delivery 504-helper supplier + +This finite conditional witness raises the saving from PR531's +`0.001517760977820331` to + +\[ +\kappa=\frac{381051987698311}{250000000000000000} + =0.001524207950793244. +\] + +The improvement is approximately **0.42477% in exponent saving**, not measured +runtime. The complex supplier remains binding. All-size compilation, +common-label/mutable-basis realization, normalized Lemma A, restored-row, +precision/tape and analytic-transfer interfaces remain conditional. + +PR531's direct-delivery architecture and 72 compatible entrance gauges are +retained. A different exact shared-donor selection supplies 92 pivots instead +of 80. A new complete-invocation allocation is essential: simply shrinking +old slots loses the local improvement. The admitted allocation has 36,288 +whole helper roles, 7,536 remainder children, and no helper banks. + +| Quantity | PR531 | This witness | +|---|---:|---:| +| Data ports / helpers | 112 / 504 | 112 / 504 | +| Line gauges / kernel pivots | 72 / 80 | 72 / 92 | +| Residual widths eight / nine | 152 / 352 | 164 / 340 | +| Local paid rank mass | 6,240 | 6,228 | +| Live / physical families | 7,168 / 7,682 | 7,168 / 7,682 | +| Global rank deficit | 2,560 | 2,560 | +| Certified complex saving | 0.001520068077832496458155 | 0.001526534707131015364923 | +| Conditional global saving | 0.001517760977820331 | 0.001524207950793244 | + +Run the fixed, offline reconstruction with standard-library Python 3.11 or +3.14. No optimizer, NumPy, network, or compiled executable is needed: + +```sh +python -B research/direct504-kernel92/verify.py /tmp/direct504-kernel92-check +``` + +The output directory must not already exist and must be outside the package. +Assertions must remain enabled. Gzip output pins mtime zero and OS byte 255 +across Python versions; exact payloads and mathematical checks are unchanged. +The verifier rebuilds the raw supplier, +recomputes all rational donor relations, replays both 728-column local +orientations, rejects all 92 omitted kernel corrections, verifies the fourteen +source-frontier bases, recomputes every local phase edge and endpoint adapter, +checks residual wrappers and the explicit owner/controller program, then +recounts the finite invoice and both exact moment engines. Seven corrupted +owner programs, thirteen local mutations, five wrapper mutations and four +outer mutations are rejected. All 47 strict outer constraints pass. + +The unchanged 112-port data controller and its exact data-phase certificate +are retained from PR531. The unchanged PR493 bit operator is retained as a +pinned dependency; its histogram is repriced in both exact engines. These two +dependencies are not cold-reconstructed by this verifier. Every **local** +phase is reconstructed, including unchanged edges; there is no local +phase-cache acceptance path. This is not a new Lean proof or an unconditional +integer-multiplication theorem. + +`proof/CONSTRUCTION.md` gives the finite argument and invoices. `EXPECTED.json` +is the exact target, `SOURCES.json` binds inherited files and credits, and +`MANIFEST.json` binds the complete package. The full attributed PR531 package +is preserved under `vendor/pr531`; its historical README and expected values +refer to that predecessor, not to this increment. No discovery solver runs in +verification and no solver optimality claim is needed. diff --git a/research/kernel92-frame-composition/README.md b/research/kernel92-frame-composition/README.md new file mode 100644 index 0000000000..706988d8d0 --- /dev/null +++ b/research/kernel92-frame-composition/README.md @@ -0,0 +1,40 @@ +# Kernel92 plus delivery-frame optimization + +Conditional **kappa = 0.001530327580902932**. This composes PR533's 92-pivot direct504 supplier with PR534's frozen delivery-frame assignment. + +| Quantity | PR533 | Composition | +|---|---:|---:| +| Conditional kappa | 0.001524207950793244 | 0.001530327580902932 | +| Complex lower rate | 0.001526534707131015364923 | 0.001532673072778713292743 | +| Local rank mass | 6228 | 6228 | +| Helpers | 504 | 504 | +| Width-8 / width-9 helpers | 164 / 340 | 164 / 340 | +| Live / physical families | 7168 / 7682 | 7168 / 7682 | + +The local profile changes to `{1:2174,2:496,3:357,4:226,5:139,6:56,7:8}`. The scalar instructions, kernel selection, helper entrances, cleanup, controller, complete owner assignment and paid idle remainders are retained. Only the frames on the 1,400 delivery-body instructions change. + +## Construction and argument + +`code/construct.py` reconstructs the pinned PR533 factory and selection, applies the frozen delivery frames, recounts actual frame chains and runs the independently supplied monotone-lift checker. Every new frame contains its constructor frame, and predecessor/successor nesting and fixed center/target barriers are checked. Applying legal lifts from last operation to first gives the coalescing argument inherited from PR531. No search is part of verification. + +Changed frames are then independently transported and checked on all arbitrary input columns in both orientations. The actual emitted local program, all local phases and endpoint adapters, residual wrappers, whole-owner program, physical controller, finite invoice, two exact moment engines and all 47 outer inequalities are replayed. + +## Completed finite verification + +The complete packaged verifier passed on Python 3.14.8 in 121.11 seconds: factory reconstruction, 92 pivot omission controls, both 728-column orientations, independent emitted-local replay, all 2924 local phase edges and 224 endpoint adapters, normalized wrappers, literal whole owners, physical/controller mutation controls, finite invoice, both exact moment engines and 47 strict outer inequalities. See `evidence/composition/RESULT.json` and `RECEIPT.json`. + +The initial integration run caught an unchanged PR533 `PLAN.json` profile assertion. The nominated profile was updated to the composed word while retaining the physical owner assignment. Both the failed log and corrected replay are retained; a subsequent complete packaged run passed from a fresh output directory. Two direct frame-search trials (120 and 180 seconds) found no improvement; the positive result uses the frozen PR534 delivery frames instead. + +This improves on PR533 by about 0.4015%. Concurrent PR535 reports kappa 0.001584931111785787, above this result; this package does not claim the current overall lead. CI status is separate from the local receipts. + +Run on Python 3.11+ with assertions enabled: + +```sh +python -B verify.py /absolute/path/to/new-output +``` + +The verifier uses the standard library and requires a new output directory outside this package. Pinned unchanged controller/data phases and the PR493 bit operator remain dependencies. All-size compilation, common-label/mutable-basis realization, normalized wrappers, restored rows, precision/tape and analytic transfer remain conditional. This is not an unconditional theorem, full Lean proof, or measured runtime speedup. + +## Sources + +[PR533](https://github.com/CrocSwap/integer-mult-bounds/pull/533), [PR534](https://github.com/CrocSwap/integer-mult-bounds/pull/534), and the preserved PR531 construction supply the underlying improvements. See NOTICE.md and SOURCES.json for attribution and exact source pins. Historical source documents and receipts describe their own earlier words, not verification of this composition. diff --git a/research/kernel92-frame-composition/SOURCES.json b/research/kernel92-frame-composition/SOURCES.json new file mode 100644 index 0000000000..071d580aa7 --- /dev/null +++ b/research/kernel92-frame-composition/SOURCES.json @@ -0,0 +1,111 @@ +{ + "pr531": { + "repository": "CrocSwap/integer-mult-bounds", + "commit": "e07a8a3f9f79c22113398a0c5dbbc7601f489b3e", + "original_checked_commit": "c609855ff92acc8cae3aa0808a4ecb624165f548", + "package_tree_byte_identical_between_commits": true + }, + "pr529": { + "commit": "05fc7e332651a41860add3c217cd6f6e88758003", + "files": { + "code/phases_full.py": "research/ranksector-kernel102-port112/references/pr523/phases_local112.py", + "code/audit_kernel_scalar.py": "research/ranksector-kernel102-port112/code/audit_kernel_scalar.py" + }, + "adaptations": "Kernel checker replaces the literal 120-port dimension by the actual 112-port word. The phase compiler wrapper is unchanged." + }, + "new_contribution": "Compose PR534 frozen delivery frames with PR533 kernel92 and independently replay the resulting supplier.", + "inherited_files": { + "vendor/pr531/SOURCES.json": "9e8182e6e659f4671fe0873e324b622cc871df7344157093df40476c8687be5f", + "vendor/pr531/EXPECTED.json": "0c4c7df98633ace6dd3f1604462dd509945f6b2d463a0b045442b785906101f1", + "vendor/pr531/LICENSE": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4", + "vendor/pr531/README.md": "305497b4bf15e691bf0ea504f628a397ea40b814053948ca32c84ce5c16e6f5b", + "vendor/pr531/verify_fast.py": "ea4e33a17419009f0872fac42f7ae5a2f2090c4487cc9815721d907d1e9b1cae", + "vendor/pr531/LOCAL-VALIDATION.json": "e7dcbbe16d3a51288dddcc9022ba852ea6c9d428f8391c72d9b61429168a5561", + "vendor/pr531/MANIFEST.json": "c1997405c5c0ccd9bdb0a30b0eb9a5a2dc7dc7ce7b59c6a83a2152b80f6410d1", + "vendor/pr531/NOTICE.md": "a92f49c5ced455160fbedcc8954e3c9255e3605e88ad12ae5a84f1c4302986f1", + 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+ "research/frame-sa504/code/check_frame_lifts.py": "69fa300bb1c01e1290da23e0775ca37900e79522", + "research/frame-sa504/evidence/local/FULL-WORD.json.gz": "bd9df9d10845e679cc01c6f587b9937e5e863191" + } + } +} diff --git a/research/kernel92-frame-composition/code/audit_kernel_scalar.py b/research/kernel92-frame-composition/code/audit_kernel_scalar.py new file mode 100644 index 0000000000..c74a5d0d95 --- /dev/null +++ b/research/kernel92-frame-composition/code/audit_kernel_scalar.py @@ -0,0 +1,55 @@ +"""Independent exact scalar witness for a selected complex kernel word. +Uses immutable correct-word compensation for omission controls; no repaired +compensation is silently supplied to a mutant. No physical-hosting claim. +""" +import sys,json,gzip,hashlib,copy +from pathlib import Path +from fractions import Fraction as Q +from collections import Counter +p=Path(__file__).resolve().parent +path=Path(sys.argv[1]);selection=Path(sys.argv[2]);out=Path(sys.argv[3]);w=json.loads(gzip.decompress(path.read_bytes()));sel=json.loads(selection.read_text());V=len(w['ports']);n=2*V+w['report']['R'] +def ident():return[{r:Q(1)}for r in range(n)] +def apply(e,rows): + if e[0]=='scale': + _,t,a,b,*_=e;q=Q(a,b);rows[t]={j:q*x for j,x in rows[t].items()};return + _,t,s,a,b,*_=e;q=Q(a,b) + for j,x in list(rows[s].items()): + z=rows[t].get(j,Q(0))+q*x + if z:rows[t][j]=z + else:rows[t].pop(j,None) +def inv(e,dual=False): + e=copy.deepcopy(e) + if e[0]=='add': + e[3]*=-1 + if dual:e[1],e[2]=e[2],e[1] + else:e[2],e[3]=e[3],e[2] + return e +def replay(es): + rows=ident() + for e in es:apply(e,rows) + return rows +main=w['A']+w['cut']+w['B'];mx=replay(main);dirty=[{}for _ in range(n)] +for r in range(V,2*V):dirty[r]={j:x for j,x in mx[r].items()if j>=2*V} +for e in w['precondition']:apply(e,dirty) +comp=[] +for r in range(V,2*V): + for j,x in sorted(dirty[r].items()): + assert not w.get('start_extra',{}).get(str(j)),('nonzero-frame compensation',j) + comp.append(['add',r,j,-x.numerator,x.denominator,[]]) +cleanup=[inv(e)for e in reversed(w['A']+w['B'])if not V<=e[1]<2*V] +assert[e[:-1]for e in cleanup]==[e[:-1]for e in w['cleanup']] +program=w['precondition']+comp+main+cleanup;expected=ident() +for t in range(V):expected[V+t][t]=Q(1) +assert replay(program)==expected +back=ident() +for t in range(V):back[t][V+t]=Q(-1) +assert replay([inv(e,True)for e in program])==back +controls={} +for cl in sel['kernel']: + for h in cl['pivots']: + aa=[e for e in w['A']if not(e[0]=='add'and e[2]==2*V+h and e[1]>=2*V and e[-1]==cl['E'])] + assert len(aa)>p&1:x^=b[p] + if x: + p=x.bit_length()-1 + for q in b: + if b[q]>>p&1:b[q]^=x + b[p]=x + return tuple(b[p] for p in sorted(b,reverse=True)) +def le(F,G): return basis(list(F)+list(G))==basis(G) +for k in ('ports','cut','precondition','centers','center_frames','scatter','start_extra','target_levels'): + assert sel.get(k)==new.get(k),k +lifted=Counter();same=0 +for sec in ('A','B'): + assert len(sel[sec])==len(new[sec]) + for a,b in zip(sel[sec],new[sec]): + assert a[:-1]==b[:-1],('operation changed',sec) + assert le(a[-1],b[-1]),('frame not a lift of the constructor frame',sec,a,b) + if basis(a[-1])==basis(b[-1]): same+=1 + else: lifted[(sec,len(basis(a[-1])),len(basis(b[-1])))]+=1 +V=len(new['ports']);R=new['report']['R'];n=2*V+R +FULL=basis([1<len(cur[r]): paid[len(F)-len(cur[r])]+=1 + cur[r]=F +for sec in ('A','B'): + if sec=='B': + for r,F in zip(new['centers'],new['center_frames']): assert cur[r]==basis(F),'centre barrier' + for t in range(V): assert cur[V+t]==lev.get(t,()),'target barrier' + for e in new[sec]: + for r in (e[1:3] if e[0]=='add' else e[1:2]): step(r,e[-1]) +for r in range(n): step(r,hyper(new['ports'][r-V]) if V<=r<2*V else FULL) +res=dict(status='PASS_MONOTONE_FRAME_LIFTS_OF_CONSTRUCTOR_WORD',selected_sha256=hashlib.sha256(gzip.decompress(open(S,'rb').read())).hexdigest(), + new_sha256=hashlib.sha256(gzip.decompress(open(N,'rb').read())).hexdigest(),unchanged_frames=same, + lifted={f'{s}:{a}->{b}':z for (s,a,b),z in sorted(lifted.items())},lifted_total=sum(lifted.values()),chain_paid_profile=dict(sorted(paid.items()))) +open(O,'w').write(json.dumps(res,indent=1)+'\n');print(json.dumps({k:res[k] for k in ('status','unchanged_frames','lifted_total','chain_paid_profile')})) diff --git a/research/kernel92-frame-composition/code/construct.py b/research/kernel92-frame-composition/code/construct.py new file mode 100644 index 0000000000..9bbcaa2e44 --- /dev/null +++ b/research/kernel92-frame-composition/code/construct.py @@ -0,0 +1,14 @@ +"""Rebuild PR533 and compose the frozen PR534 delivery-frame lifts. +Prepared for rohanarun with OpenAI Codex assistance. Apache-2.0. +""" +from pathlib import Path +import gzip,json,subprocess,sys +ROOT=Path(__file__).resolve().parents[1];P=ROOT/'vendor/pr531';out=Path(sys.argv[1]).resolve() +subprocess.run([sys.executable,'-B',str(ROOT/'code/run.py'),str(ROOT/'code/construct_pr533.py'),str(out)],check=True) +sys.path.insert(0,str(P/'vendor/gk'));import gk_word as G;import gk_common as C +G.V=C.V=112;G.DATA=C.DATA=7168 +w=json.load(gzip.open(out/'SELECTED.json.gz'));frames=json.loads((ROOT/'data/DELIVERY-FRAMES.json').read_text());assert len(frames)==len(w['B']) +for e,f in zip(w['B'],frames):e[-1]=f +w['report']['local_profile']={str(k):v for k,v in sorted(G.profile(w).items())} +new=out/'coalesced/FULL-WORD.json.gz';new.write_bytes(G.dump(w)) +subprocess.run([sys.executable,'-B',str(ROOT/'code/check_frame_lifts.py'),str(out/'SELECTED.json.gz'),str(new),str(out/'FRAME-LIFTS.json')],check=True) diff --git a/research/kernel92-frame-composition/code/construct_pr533.py b/research/kernel92-frame-composition/code/construct_pr533.py new file mode 100644 index 0000000000..136e5b158b --- /dev/null +++ b/research/kernel92-frame-composition/code/construct_pr533.py @@ -0,0 +1,14 @@ +"""Rebuild PR531's raw factory and apply the frozen 92-pivot selection. +Prepared by OpenAI Codex. Attributed predecessor implementations stay unchanged. +""" +from pathlib import Path +import gzip,json,subprocess,sys +ROOT=Path(__file__).resolve().parents[1];P=ROOT/'vendor/pr531';out=Path(sys.argv[1]).resolve();assert not out.exists();out.mkdir() +subprocess.run([sys.executable,'-B',str(ROOT/'code/run.py'),str(P/'code/construct_504.py'),str(P/'inputs/hamming'),str(out/'raw')],check=True) +sys.path.insert(0,str(P/'vendor/gk'));import gk_word as G;import gk_common as C +G.V=C.V=112;G.DATA=C.DATA=7168 +w=json.load(gzip.open(out/'raw/FULL-WORD.json.gz'));selection=json.loads((ROOT/'data/SELECTION.json').read_text());w=G.build(w,selection,check=True) +assert sum(len(c['pivots'])for c in selection['kernel'])==92 +assert len(selection['gauge'])==72 +(out/'SELECTED.json.gz').write_bytes(G.dump(w)) +subprocess.run([sys.executable,'-B',str(ROOT/'code/run.py'),str(P/'code/coalesce_frames.py'),'--word',str(out/'SELECTED.json.gz'),'--out',str(out/'coalesced')],check=True) diff --git a/research/kernel92-frame-composition/code/frame_chain_search.py b/research/kernel92-frame-composition/code/frame_chain_search.py new file mode 100644 index 0000000000..013174d8ae --- /dev/null +++ b/research/kernel92-frame-composition/code/frame_chain_search.py @@ -0,0 +1,148 @@ +# Frame-chain local search over monotone frame lifts of the PR531 504-helper word. +# Prepared by rohanarun with Claude Opus 5.5 (Anthropic). Apache-2.0. +# usage: frame_chain_search.py COALESCED_WORD SEED SECONDS OUTPREFIX B TEMP SELECTED_WORD +# Every node frame G satisfies F_constructor <= G and per-register chain monotonicity; barriers, starts, +# target levels, final frames and all scalar operations are fixed. Objective: sum_r H_r * r((73/r)^B - 1). +import json,gzip,math,random,sys,time,copy +from collections import Counter +WORD=sys.argv[1];SEED=int(sys.argv[2]);SECS=float(sys.argv[3]);OUT=sys.argv[4] +B=float(sys.argv[5]) if len(sys.argv)>5 else 0.00152 +TEMP0=float(sys.argv[6]) if len(sys.argv)>6 else 0.3 +random.seed(SEED) +w=json.loads(gzip.decompress(open(WORD,'rb').read())) +orig=json.loads(gzip.decompress(open(sys.argv[7],'rb').read())) # pre-coalescing frames = minimal legal +def basis(vs): + b={} + for x in vs: + for p in sorted(b,reverse=True): + if x>>p&1:x^=b[p] + if x: + p=x.bit_length()-1 + for q in b: + if b[q]>>p&1:b[q]^=x + b[p]=x + return tuple(b[p] for p in sorted(b,reverse=True)) +def span(F): + s={0} + for y in F: s|={x^y for x in s} + return frozenset(s) +SP={} +def sp(F): + if F not in SP: SP[F]=span(F) + return SP[F] +def join(F,G): return basis(list(F)+list(G)) +def meet(F,G): return basis(sorted(sp(F)&sp(G))) +def le(F,G): return sp(F)<=sp(G) +V,R,h=len(w['ports']),w['report']['R'],9;m=73;n=2*V+R +FULL=basis([1<0 else 0.0 +def chainprof(): + H=Counter() + for r,ch in enumerate(chains): + for x,y in zip(ch,ch[1:]): + d=len(nodes[y]['F'])-len(nodes[x]['F']);assert d>=0 and le(nodes[x]['F'],nodes[y]['F']) + if d:H[d]+=1 + return H +H=chainprof();H0=Counter(H) +fee=lambda H: sum(f(r)*z for r,z in H.items()) +cur=fee(H);best=cur;bestF=[z['F'] for z in nodes] +print('start',dict(sorted(H.items())),cur,flush=True) +def try_move(k,G): + """set node k to G, propagate closure; return (changes dict, dh) or None""" + ch={k:G};queue=[k] + while queue: + j=queue.pop();Fj=ch[j] + for r in nodes[j]['regs']: + q=nxt[j,r];Fq=ch.get(q,nodes[q]['F']) + if not le(Fj,Fq): + if not nodes[q]['mut']: return None + ch[q]=join(Fq,Fj);queue.append(q) + p=prv[j,r];Fp=ch.get(p,nodes[p]['F']) + if not le(Fp,Fj): + if not nodes[p]['mut']: return None + Np=meet(Fp,Fj) + if not le(nodes[p]['lo'],Np): return None + ch[p]=Np;queue.append(p) + if len(ch)>60: return None + edges=set() + for j in ch: + for r in nodes[j]['regs']: + edges.add((prv[j,r],j,r));edges.add((j,nxt[j,r],r)) + dh=Counter() + for p,q,r in edges: + o=len(nodes[q]['F'])-len(nodes[p]['F']);nw=len(ch.get(q,nodes[q]['F']))-len(ch.get(p,nodes[p]['F'])) + if o:dh[o]-=1 + if nw:dh[nw]+=1 + return ch,dh +t0=time.time();it=0;acc=0 +while time.time()-t0>i&1: v^=b;par^=coeffs[i] + if par==0: vecs.append(v) + G=basis(vecs) + if not le(lo,G): continue + res=try_move(k,G) + if res is None: continue + ch,dh=res;d=fee(dh) + if d<-1e-12 or (T>0 and random.random()5": 28, + "B:4->6": 80, + "B:5->6": 166, + "B:6->7": 332, + "B:7->8": 56 + }, + "lifted_total": 662, + "chain_paid_profile": { + "1": 2166, + "2": 496, + "3": 357, + "4": 226, + "5": 139, + "6": 56 + } +} diff --git a/research/kernel92-frame-composition/evidence/composition/kernel92-frame-transplant-admission.log b/research/kernel92-frame-composition/evidence/composition/kernel92-frame-transplant-admission.log new file mode 100644 index 0000000000..5faba6341c --- /dev/null +++ b/research/kernel92-frame-composition/evidence/composition/kernel92-frame-transplant-admission.log @@ -0,0 +1,23 @@ +RUN frame-lifts +PASS frame-lifts +RUN scalar-transport +PASS scalar-transport +RUN emit-local +PASS emit-local +RUN independent-local +PASS independent-local +RUN wrappers +PASS wrappers +RUN all-local-phases +PASS all-local-phases +RUN bind-data +PASS bind-data +RUN emit-owners +Traceback (most recent call last): + File "/Volumes/SP AI 01_16/CodexWorkspaces/imb-retime2/frontier390/verify_kernel92_frame_candidate.py", line 26, in + run('emit-owners',P/'code/emit_supplier_hosted.py','--base',base,'--owners',S/'data/OWNERS.json.gz','--plan',S/'data/PLAN.json','--out',host) + ~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/Volumes/SP AI 01_16/CodexWorkspaces/imb-retime2/frontier390/verify_kernel92_frame_candidate.py", line 17, in run + assert r.returncode==0,(name,log.read_text()[-4000:]);print('PASS',name,flush=True) + ^^^^^^^^^^^^^^^ +AssertionError: ('emit-owners', 'Traceback (most recent call last):\n File "/Volumes/SP AI 01_16/CodexWorkspaces/imb-retime2/frontier390/source533-review/code/run.py", line 16, in \n runpy.run_path(sys.argv[0],run_name=\'__main__\')\n ~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n File "", line 294, in run_path\n File "", line 98, in _run_module_code\n File "", line 88, in _run_code\n File "/Volumes/SP AI 01_16/CodexWorkspaces/imb-retime2/frontier390/source533-review/vendor/pr531/code/emit_supplier_hosted.py", line 94, in \n assert dict(sorted(paid.items()))=={int(k):v for k,v in plan[\'profile\'].items()}\n ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\nAssertionError\n') diff --git a/research/kernel92-frame-composition/evidence/composition/kernel92-frame-transplant-resume.log b/research/kernel92-frame-composition/evidence/composition/kernel92-frame-transplant-resume.log new file mode 100644 index 0000000000..369e84f117 --- /dev/null +++ b/research/kernel92-frame-composition/evidence/composition/kernel92-frame-transplant-resume.log @@ -0,0 +1,9 @@ +RUN emit-owners +PASS emit-owners +RUN audit-owners +PASS audit-owners +RUN invoice +PASS invoice +RUN assembly +PASS assembly +{"status": "PASS_KERNEL92_FRAME_CANDIDATE_FINITE", "kappa": "382581895225733/250000000000000000", "kappa_decimal": "0.001530327580902932", "complex_lower": "1532673072778713292743/1000000000000000000000000", "local_profile": {"1": 2174, "2": 496, "3": 357, "4": 226, "5": 139, "6": 56, "7": 8}, "steps": [{"name": "frame-lifts", "returncode": 0, "seconds": 0.13034224999137223}, {"name": "scalar-transport", "returncode": 0, "seconds": 0.4831078329589218}, {"name": "emit-local", "returncode": 0, "seconds": 0.45199799991678447}, {"name": "independent-local", "returncode": 0, "seconds": 1.8468255000188947}, {"name": "wrappers", "returncode": 0, "seconds": 0.3755047080339864}, {"name": "all-local-phases", "returncode": 0, "seconds": 101.94726770906709}, {"name": "bind-data", "returncode": 0, "seconds": 1.0918756669852883}, {"name": "emit-owners", "returncode": 1, "seconds": 1.7837772499769926}, {"name": "emit-owners", "returncode": 0, "seconds": 1.997526332968846}, {"name": "audit-owners", "returncode": 0, "seconds": 4.489014082937501}, {"name": "invoice", "returncode": 0, "seconds": 0.42610220809001476}, {"name": "assembly", "returncode": 0, "seconds": 0.2312954580411315}], "scope": "Fresh changed scalar/local phase/wrapper/whole owner/invoice/outer finite checks. Unchanged controller and bit operator pinned; inherited all-size and analytic interfaces conditional."} diff --git a/research/kernel92-frame-composition/evidence/composition/local/CLIFFORD-REVIEW.json b/research/kernel92-frame-composition/evidence/composition/local/CLIFFORD-REVIEW.json new file mode 100644 index 0000000000..b910bd6be3 --- /dev/null +++ b/research/kernel92-frame-composition/evidence/composition/local/CLIFFORD-REVIEW.json @@ -0,0 +1,21 @@ +{ + "status": "PASS_NEW_WORD_EXACT_LOCAL_PHASE_RECIPES", + "canonical_word_sha256": "727899d1b7c4364871591af4a3f7050c52202a8770258ba6f34ea3e616a6d4b1", + "frames": 985, + "directed_edges": 2924, + "ranks": { + "1": 1748, + "3": 357, + "2": 408, + "8": 16, + "7": 16, + "5": 97, + "4": 226, + "6": 56 + }, + "endpoint_adapters": 224, + "all_child_equalities_include_global_phase": true, + "recipe_sha256": "4ae6353d00c76bd8b87002a5d72cdaf88dd82f5dd675d6705aa230c70634f555", + "seconds": 100.5601993749151, + "scope": "Every local frame and center transition. Expanded scalar-interface integration and global emitted program are separate obligations." +} diff --git a/research/kernel92-frame-composition/evidence/composition/local/INDEPENDENT-LOCAL-REPLAY.json b/research/kernel92-frame-composition/evidence/composition/local/INDEPENDENT-LOCAL-REPLAY.json new file mode 100644 index 0000000000..9b051263f0 --- /dev/null +++ b/research/kernel92-frame-composition/evidence/composition/local/INDEPENDENT-LOCAL-REPLAY.json @@ -0,0 +1,60 @@ +{ + "status": "PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY", + "canonical_word_sha256": "727899d1b7c4364871591af4a3f7050c52202a8770258ba6f34ea3e616a6d4b1", + "local_programs_sha256": "033b21bb545e0d7728af16faaabf6bf81858a508c30b2bdf9f893dd66c109e4f", + "v": 112, + "helpers": 504, + "local": { + "forward": { + "all_exact_columns": 728, + "prefix_l1_upper": "86491024246", + "prefix_bits_upper": 37, + "charged_payload_bits": 192, + "private_work_erased": true + }, + "backward": { + "all_exact_columns": 728, + "prefix_l1_upper": "2028759645555/2", + "prefix_bits_upper": 40, + "charged_payload_bits": 192, + "private_work_erased": true + } + }, + "paid_profiles": { + "forward": { + "1": 2174, + "4": 226, + "7": 8, + "2": 496, + "3": 357, + "5": 139, + "6": 56 + }, + "backward": { + "1": 2174, + "4": 226, + "7": 8, + "2": 496, + "3": 357, + "5": 139, + "6": 56 + } + }, + "entering_helpers": 164, + "negative_controls_rejected": [ + "wrong_scale", + "missing_center", + "wrong_common_frame", + "wrong_child_rank", + "missing_pre_wrapper", + "missing_post_wrapper", + "wrapper_with_wrong_frame", + "wrapper_in_wrong_phase", + "wrapper_on_a_data_register", + "wrapper_on_a_target_register", + "wrapper_on_a_centre_register", + "centre_step_not_nested", + "centre_descent_step_skipped" + ], + "scope": "Literal forward and inverse-transpose replay on every arbitrary data/helper column, physical frame incidence, ordered paid wrappers, cleared private work and prefix coefficients. Global hosting and outer exponent are separate." +} diff --git a/research/kernel92-frame-composition/evidence/composition/local/LEMMA-A.json b/research/kernel92-frame-composition/evidence/composition/local/LEMMA-A.json new file mode 100644 index 0000000000..927520a01b --- /dev/null +++ b/research/kernel92-frame-composition/evidence/composition/local/LEMMA-A.json @@ -0,0 +1,105 @@ +{ + "status": "PASS_RESIDUAL_WRAPPERS_ARE_EXACT", + "frames": 9, + "wrappers_reject": [ + "wrong global phase", + "wrong translation", + "wrong quadratic form", + "sides swapped", + "wrong width" + ], + "all_even_weight": true, + "all_totally_isotropic": true, + "detail": [ + { + "frame": 2, + "entrance_rank": 1, + "residual_width": 8, + "vectors": [ + 45 + ], + "all_even_weight": true, + "totally_isotropic": true + }, + { + "frame": 3, + "entrance_rank": 1, + "residual_width": 8, + "vectors": [ + 51 + ], + "all_even_weight": true, + "totally_isotropic": true + }, + { + "frame": 4, + "entrance_rank": 1, + "residual_width": 8, + "vectors": [ + 30 + ], + "all_even_weight": true, + "totally_isotropic": true + }, + { + "frame": 5, + "entrance_rank": 1, + "residual_width": 8, + "vectors": [ + 75 + ], + "all_even_weight": true, + "totally_isotropic": true + }, + { + "frame": 6, + "entrance_rank": 1, + "residual_width": 8, + "vectors": [ + 102 + ], + "all_even_weight": true, + "totally_isotropic": true + }, + { + "frame": 7, + "entrance_rank": 1, + "residual_width": 8, + "vectors": [ + 120 + ], + "all_even_weight": true, + "totally_isotropic": true + }, + { + "frame": 8, + "entrance_rank": 1, + "residual_width": 8, + "vectors": [ + 85 + ], + "all_even_weight": true, + "totally_isotropic": true + }, + { + "frame": 9, + "entrance_rank": 1, + "residual_width": 8, + "vectors": [ + 459 + ], + "all_even_weight": true, + "totally_isotropic": true + }, + { + "frame": 10, + "entrance_rank": 1, + "residual_width": 8, + "vectors": [ + 486 + ], + "all_even_weight": true, + "totally_isotropic": true + } + ] +} diff --git a/research/kernel92-frame-composition/evidence/composition/local/SCALAR-FRAME-AUDIT.json b/research/kernel92-frame-composition/evidence/composition/local/SCALAR-FRAME-AUDIT.json new file mode 100644 index 0000000000..24962f9045 --- /dev/null +++ b/research/kernel92-frame-composition/evidence/composition/local/SCALAR-FRAME-AUDIT.json @@ -0,0 +1,533 @@ +{ + "status": "PASS_CHANGED_WORD_ALL_COLUMNS_AND_NATIVE_FRAMES", + "input_content_sha256": "dfbed59e9d8fcfb1b696583e1731465c0a13904f04db7e802789194f78313970", + "routing_content_sha256": "5226194a7beae50e9c43009df698959d596fdfb081346f32428aee798bdc1851", + "canonical_content_sha256": "30f8686389d60aafd90e9146760cfa9c4bb96e348dceafee8ef536f3680f4cff", + "live_columns_each_orientation": 728, + "helpers": 504, + "compensation_additions": 9891, + "scalar_operations": 16965, + "center_rank_sum": 64, + "local_profile": { + "1": 2174, + "2": 496, + "3": 357, + "4": 226, + "5": 139, + "6": 56, + "7": 8 + }, + "local_rank_mass": 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Phase lowering, wrappers, global owners and global assembly are separate." +} diff --git a/research/kernel92-frame-composition/evidence/composition/search-seed533.json b/research/kernel92-frame-composition/evidence/composition/search-seed533.json new file mode 100644 index 0000000000..baed74f6b5 --- /dev/null +++ b/research/kernel92-frame-composition/evidence/composition/search-seed533.json @@ -0,0 +1 @@ +{"best": 33.22017107578059, "start": 33.22017107578059, "chain_profile": {"1": 2028, "2": 772, "3": 136, "4": 392, "5": 56, "6": 56}, "start_chain_profile": {"1": 2028, "2": 772, "3": 136, "4": 392, "5": 56, "6": 56}} \ No newline at end of file diff --git a/research/kernel92-frame-composition/evidence/composition/search-seed533.log b/research/kernel92-frame-composition/evidence/composition/search-seed533.log new file mode 100644 index 0000000000..5d1be4cf6f --- /dev/null +++ b/research/kernel92-frame-composition/evidence/composition/search-seed533.log @@ -0,0 +1,2 @@ +start {1: 2028, 2: 772, 3: 136, 4: 392, 5: 56, 6: 56} 33.22017107578059 +iters 1707452 acc 25936 best 33.22017107578059 start 33.22017107578059 {1: 2028, 2: 772, 3: 136, 4: 392, 5: 56, 6: 56} diff --git a/research/kernel92-frame-composition/evidence/composition/search-seed534.json b/research/kernel92-frame-composition/evidence/composition/search-seed534.json new file mode 100644 index 0000000000..baed74f6b5 --- /dev/null +++ b/research/kernel92-frame-composition/evidence/composition/search-seed534.json @@ -0,0 +1 @@ +{"best": 33.22017107578059, "start": 33.22017107578059, "chain_profile": {"1": 2028, "2": 772, "3": 136, "4": 392, "5": 56, "6": 56}, "start_chain_profile": {"1": 2028, "2": 772, "3": 136, "4": 392, "5": 56, "6": 56}} \ No newline at end of file diff --git a/research/kernel92-frame-composition/evidence/composition/search-seed534.log b/research/kernel92-frame-composition/evidence/composition/search-seed534.log new file mode 100644 index 0000000000..6465ff9fdb --- /dev/null +++ b/research/kernel92-frame-composition/evidence/composition/search-seed534.log @@ -0,0 +1,2 @@ +start {1: 2028, 2: 772, 3: 136, 4: 392, 5: 56, 6: 56} 33.22017107578059 +iters 2475461 acc 56189 best 33.22017107578059 start 33.22017107578059 {1: 2028, 2: 772, 3: 136, 4: 392, 5: 56, 6: 56} diff --git a/research/kernel92-frame-composition/proof/CONSTRUCTION.md b/research/kernel92-frame-composition/proof/CONSTRUCTION.md new file mode 100644 index 0000000000..7bed3c2f98 --- /dev/null +++ b/research/kernel92-frame-composition/proof/CONSTRUCTION.md @@ -0,0 +1,127 @@ +# Finite direct-delivery kernel92 witness + +## Local construction + +The attributed PR531 same-partition direct-delivery construction is rebuilt +from its packet inputs. Its fourteen early retired source bases are each +invertible with determinant 1/4, so the eight coordinate centers can finish +before own-block loading. The direct two-read deliveries omit 56 selected M +packets, leaving 504 helpers. The predecessor's complete construction proof +is preserved in `vendor/pr531/proof/`. + +Retain its 72 compatible line gauges. For the arbitrary helper-dirt response +columns C_h of the raw scalar word, each selected pivot p and donor set D +obeys an exact rational identity + +\[ +C_p=\sum_{d\in D}q_{pd}C_d. +\] + +Before the main word, execute `d += -q_pd * p` at the common line E. The +pivots start at E; each donor reaches E through a paid climb. The selected +roles are disjoint from the gauges, donors and pivots are disjoint, and every +E lies within each role's actual first frame. These are checked conditions, +not properties inferred from modular elimination. + +| Line E | Independent donors | Pivots | +|---:|---:|---:| +| 24 | 20 | 24 | +| 30 | 20 | 24 | +| 120 | 8 | 8 | +| 102 | 8 | 8 | +| 96 | 8 | 8 | +| 480 | 14 | 10 | +| 126 | 8 | 8 | +| 486 | 6 | 2 | + +There are 92 pivots and 72 gauges. Their 164 width-eight residuals and the +remaining 340 width-nine residuals are paid explicitly. The unchanged frame +coalescer then promotes legal gate frames without changing scalar operations, +entrance frames, center cuts, endpoints, or cleanup coefficients. + +The final local paid profile is + +\[ +2036H_1+772H_2+136H_3+392H_4+56H_5+56H_6+8H_7. +\] + +Its mass is + +\[ +6228=2\cdot112\cdot8+64+164\cdot8+340\cdot9. +\] + +The independent scalar checker reconstructs the correct word's frame-zero +compensation once and holds it fixed while omitting each pivot's correction. +All 92 omissions fail. Both complete orientations are then replayed on every +one of the 728 data/helper input columns. Thirteen independent emitted-word +mutants fail. The exact Clifford compiler lowers all 2,924 local edges and +224 endpoint adapters, including global phase; seven residual entrance +frames have exact normalized wrappers, and five wrapper mutants fail. + +## Whole-owner realization + +The nine-stage, eight-replica data controller, ordered 112 ports and data +phase certificate are retained from PR531. `data/PLAN.json` freezes the +asynchronous call order and legal idle windows. `data/OWNERS.json.gz` names +each helper's family, owner replica, pending child, offset and width. + +Every one of 72 complete invocations has 728 distinct active families: 224 +data roles and 504 helper roles. Across the construction there are 36,288 +helper assignments and 2,300 distinct actual 73-column orthogonal charts. +No active data owner or private work family is used as a helper. Residual +intervals within each pending child are disjoint; their union is a prefix. +The complement is applied once, as one of 7,536 literal remainder children. +The audit independently replays each owner replica's event order and the +actual residual/spectator axes. Seven corrupted owner programs fail. + +There are 7,168 live and 7,682 physical families. The 514 extra families are +504 reserved tableau families, eight centers and two coefficient-work +families. No helper bank is added. The final global profile is + +\[ +146592H_1+55584H_2+12464H_3+28224H_4+7616H_5+ +4032H_6+944H_7+912H_{48}. +\] + +Consequently its mass is 520,704 and + +\[ +73\cdot7168-520704=2560. +\] + +The largest child is 48 and the exact halving inequality is +`73^2 = 5329 > 2*48^2 = 4608`. + +## Invoice and exact exponent + +The emitted prefix uses 225 bits within the inherited 512-bit allowance. +The fresh physical row coefficient is 16,467 within the retained 20,161 +allowance. The coefficient work, routing, literal schedule and private +reserve are recounted from the actual word and owner program. The finite +constants remain G exponent 30,000, E exponent 100,000 and C0 exponent +210,000; the required C0 bits are 200,012. + +Both exact rational moment engines accept +`b = 0.001526534707131015364923` and reject the next 10^-24 grid point. +The unchanged PR493 bit profile is independently repriced in both engines +at `c = 0.001565442026981656908596`; the complex side binds. Six bootstrap +levels and 47 strict outer inequalities certify + +\[ +\kappa=0.001524207950793244. +\] + +The next outer grid point, zero eta, zero beta and unit beta controls fail. +No floating objective is used for these acceptance decisions. + +## Scope + +This is a finite conditional witness. The new supplier, all local phases, +whole-owner placement and invoice are reconstructed. The unchanged data +controller/data-phase certificate and bit operator remain source-pinned +dependencies; the bit operator is not cold-rebuilt here. Inherited all-size +compiler, common-label/mutable-basis, normalized Lemma A, restored-row, +precision/tape and analytic-transfer assumptions remain. This construction +does not prove unrestricted optimality, a new Lean theorem, kappa = 1, or an +unconditional multiplication bound. diff --git a/research/kernel92-frame-composition/vendor/pr531/EXPECTED.json b/research/kernel92-frame-composition/vendor/pr531/EXPECTED.json new file mode 100644 index 0000000000..c340c32b84 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/EXPECTED.json @@ -0,0 +1,55 @@ +{ + "kappa": "1517760977820331/1000000000000000000", + "kappa_decimal": "0.001517760977820331", + "complex_lower": "304013615566499291631/200000000000000000000000", + "complex_decimal": "0.001520068077832496458155", + "bit_lower": "391360506745414227149/250000000000000000000000", + "binding_component": "complex", + "gain_vs_pr523_percent": "4.10270516690952151876587762719477781215714784301602580611583", + "gain_vs_pr527_percent": "3.43978056942690680407730465324497183679900983917952248140999", + "global_template_content_sha256": "ed47b5454779f7ad6b32ae492a13f8b5172b11c94c3877cbc5cc5d7a4c357738", + "local_profile": { + "1": 2028, + "2": 752, + "3": 156, + "4": 392, + "5": 56, + "6": 56, + "7": 8 + }, + "global_profile": { + "1": 146016, + "2": 54144, + "3": 13991, + "4": 28224, + "5": 7615, + "6": 4032, + "7": 1376, + "32": 1, + "48": 825 + }, + "ports": 112, + "local_dimension": 9, + "helpers": 504, + "entrance_helpers": 152, + "width_inventory": { + "8": 152, + "9": 352 + }, + "center_rank_sum": 64, + "local_rank_mass": 6240, + "global_dimension": 73, + "live": 7168, + "physical": 7682, + "rank_mass": 520704, + "deficit": 2560, + "complete_invocations": 72, + "whole_helper_roles": 36288, + "owners_per_call": 728, + "actual_73_column_maps": 2352, + "paid_idle_remainders": 7968, + "global_prefix_bits": 225, + "charged_prefix_bits": 512, + "strict_outer_inequalities": 47, + "scope": "Conditional finite global witness under the inherited all-size interfaces." +} diff --git a/research/kernel92-frame-composition/vendor/pr531/LICENSE b/research/kernel92-frame-composition/vendor/pr531/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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Corrected the inherited PR505 attribution to Dugongue; mathematical inputs remain unchanged." + }, + "scope": "Incremental finite conditional verification; no predecessor cold replay, unchanged bit operator rebuild, PDF, or new all-size proof." +} diff --git a/research/kernel92-frame-composition/vendor/pr531/MANIFEST.json b/research/kernel92-frame-composition/vendor/pr531/MANIFEST.json new file mode 100644 index 0000000000..aea8671e69 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/MANIFEST.json @@ -0,0 +1,82 @@ +{ + "algorithm": "sha256", + "sha256": { + "EXPECTED.json": "0c4c7df98633ace6dd3f1604462dd509945f6b2d463a0b045442b785906101f1", + "LICENSE": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4", + "LOCAL-VALIDATION.json": "e7dcbbe16d3a51288dddcc9022ba852ea6c9d428f8391c72d9b61429168a5561", + "NOTICE.md": "a92f49c5ced455160fbedcc8954e3c9255e3605e88ad12ae5a84f1c4302986f1", + "README.md": 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--git a/research/kernel92-frame-composition/vendor/pr531/NOTICE.md b/research/kernel92-frame-composition/vendor/pr531/NOTICE.md new file mode 100644 index 0000000000..f7a8f861be --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/NOTICE.md @@ -0,0 +1,24 @@ +# Attribution and derivative scope + +Prepared for icekylinx with OpenAI GPT-6 Astra assistance; Apache-2.0. +Copyright 2026 icekylinx. Local review and submission packaging used OpenAI Codex. +The new work is the same-partition 504-helper scalar architecture, its frozen +entrance selection, delivery-frame coalescing, literal global allocation, +targeted certificate reuse and complete new finite recount. + +The included Hamming inputs, Gaussian-dyadic Clifford compiler, primitive +scalar routines, rational moment engines and outer assembly descend from the +authors recorded in `SOURCES.json` and `inputs/PR523-ANCESTRY.json`. Original +source notices are retained. In particular, DreamingOfClouds' gauge/kernel +and paid-wrapper files retain their notice crediting Claude Opus 5.5 assistance; +those files are not presented as newly authored work. + +Dugongue's PR522 rank-sector coordinate-total principle was inspected and is +credited as a related idea. This increment does not import its ranksector99 +patch or add its reported gain arithmetically. Higherbeing's PR520 face-packet +geometry helped direct the structural investigation; its code is not copied. +The latest numerical comparison, Rohan Arun's PR527, is a comparison source. + +The reproduction wrapper deliberately separates fresh changed-word/global +checks from reuse of the byte-pinned completed baseline and unchanged bit +operator. Old finite receipts never stand in for the changed local word. diff --git a/research/kernel92-frame-composition/vendor/pr531/README.md b/research/kernel92-frame-composition/vendor/pr531/README.md new file mode 100644 index 0000000000..57c36d5a57 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/README.md @@ -0,0 +1,119 @@ +# Direct delivery with 504 helpers: a larger global kappa + +Prepared for **icekylinx**, with OpenAI GPT-6 Astra assistance. Apache-2.0. +This compact offline increment replaces the complex local supplier of pinned +PR523 and retains its 112-port data controller. It includes the explicit new +word, physical owner assignment, proofs, receipts and required small dependencies. + +## Result + +**Conditional global kappa = `0.001517760977820331`**, exactly +`1517760977820331 / 10^18`. + +| Quantity | PR523, this round's baseline | This increment | +|---|---:|---:| +| Global kappa | 0.001457945761723368 | **0.001517760977820331** | +| Complex lower rate b | 0.001460074471110324279467 | **0.001520068077832496458155** | +| Cited bit lower rate c | 0.001565442026981656908596 | same | +| Local helpers | 560 | **504** | +| Local rank mass | 6706 | **6240** | +| Whole helper roles | 40320 | **36288** | +| Live / physical families | 7168 / 7738 | **7168 / 7682** | +| Global rank deficit | 2560 | 2560 | + +The global kappa increase is **4.102705166909%** over PR523. During this work, +PR527 reported `0.001467289440740487`; the new result is **3.439780569426%** +above that newer numerical claim. The final public refresh at 2026-10-12 01:16 UTC still had PR527 as the latest +numerical PR. Comparisons are frozen by commit in +`SOURCES.json` and `evidence/PUBLIC-SNAPSHOT.json`. + +At submission, [PR529](https://github.com/CrocSwap/integer-mult-bounds/pull/529) reports `0.001469603966017302`; this witness is **3.27687%** higher. Its code is not used. + +The complex side still binds. The displayed percentages compare kappa, the +exponent saving in the inherited conditional bound +`T(n) = O(n (log n)^(1-kappa))`; they are not measured runtime percentages. + +## What produces the gain + +The new factory completes coordinate centers early, loads the own-block +correction directly into an invertible output basis, and delivers selected +cross-block sums by reading their two existing face copies. The same partition +in both tetrahedra lets 56 selected packet sums be omitted. This gives 504 +helpers while preserving every arbitrary source/helper input under cleanup. + +Seventy-two compatible line gauges and eighty exact shared-donor pivots give +152 width-eight residuals and 352 width-nine residuals. The real prefix cost +is included. Then 248 legal frame promotions in delivery body B coalesce paid +climbs, saving exactly `96 log(64/3)` in local entropy fee. They change no scalar +coefficient, operation order, cut, entrance or cleanup. + +The decisive global step reallocates those residuals across actual idle +families. All 36,288 roles have literal complete owners, explicit spectators +and legal busy windows. The final global profile comes from this assignment, +including all 7,968 paid remainders. The failed simple slot-shrinking experiment +and the fractional LP price contribute no claimed gain. + +Read `proof/LOCAL-CONSTRUCTION.md`, `proof/DELIVERY-AND-COALESCING.md`, and +`proof/GLOBAL-HOSTING.md` for the precise arguments and their scope. + +## Fast offline replay + +Python 3.11 or later, assertions enabled, standard library only by default: + +```bash +python -B verify_fast.py --work /absolute/path/to/new-output +``` + +The output directory must be new and outside this package. The default checks +the frozen changed scalar word on all columns, rebuilds the global owner maps, +independently audits the controller and paid profile, recounts the new finite +invoice, and runs both exact moment engines and all 47 outer inequalities. +It reuses the byte-pinned completed phase/data/unchanged-bit dependencies. +There is no network call, optimizer, predecessor cold replay, or all-edge phase +replay in this default command. The packaged default entry point completed +successfully in **19.8 seconds** in this environment; its per-stage receipt is +`evidence/FAST-REPLAY.json`. + +Optional `--rebuild-local` also reconstructs the packet factory and frozen +rational entrance selection, without rerunning discovery. Optional +`--delta-phases` freshly lowers only the 1,680 changed phase edges and requires +NumPy; 1,242 matching edges and all 224 endpoint adapters still reuse the +pinned PR523 cache. The changed-edge check completed in about 27 seconds in +this work and is not repeated by default. + +`EXPECTED.json` is the concise numerical contract. `evidence/audit/EXACT-ASSEMBLY.json` +contains the strict rational signs, six bootstrap levels and 47 inequalities. +`MANIFEST.json` pins all supplied bytes. Generated audit timing fields may vary; +raw-constructor diagnostic floating fees are not proof data. Optional local +reconstruction is compared by the exact canonical word rather than those +diagnostics or gzip container headers. + +## Verification actually performed + +The changed word passed exact arbitrary-dirt forward and inverse-transpose +replay on all **728** columns (about 1.3 seconds), emitted-program/frame replay, +seven exact residual wrappers, the targeted 1,680-edge phase check, and one +fresh physical owner/controller audit. The new invoice and two-engine outer +assembly each completed in about a second. The global prefix is `225 < 512` +bits; the physical row coefficient is `16467 < 20161`. + +The inherited all-size compiler, common-label/mutable-basis realization, +normalized Lemma A realization, restored-row, precision/tape and analytic +transfer interfaces remain conditional. This is a finite conditional global +witness; no new unconditional theorem or Lean formalization is asserted. + +## Sources + +PR523 supplies the retained 112-port controller and phase cache. PR514/507 and +PR425/433 supply the attributed Hamming/scalar ancestry. DreamingOfClouds' +gauge/kernel and paid-wrapper code retains its original notices. Dugongue's +PR522 rank-sector principle and higherbeing's PR520 delivery geometry are +credited as related research inputs. The bit supplier remains eumemic's PR493. +`SOURCES.json`, `NOTICE.md` and the retained ancestry file give precise pins. + +## Local submission validation + +The supplier rebuild, changed-edge phase replay and global assembly passed on +Python 3.14.8 with NumPy 2.3.5 in 23.89 seconds. Separate emitted-program, +residual-wrapper and source-frontier checks also passed. Unchanged dependencies +match the previously verified #523 artifacts. See `LOCAL-VALIDATION.json`. diff --git a/research/kernel92-frame-composition/vendor/pr531/SOURCES.json b/research/kernel92-frame-composition/vendor/pr531/SOURCES.json new file mode 100644 index 0000000000..78244052aa --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/SOURCES.json @@ -0,0 +1,63 @@ +{ + "repository": "https://github.com/CrocSwap/integer-mult-bounds", + "prepared_for": "icekylinx", + "assistance": "OpenAI GPT-6 Astra", + "license": "Apache-2.0", + "baseline": { + "pr": 523, + "author": "icekylinx", + "head": "a900f98be8ff2c09d3292b5112d4731dbd0c8438", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/523", + "role": "112 ordered ports, fixed data controller, completed phase cache and finite baseline allowances." + }, + "retained": [ + { + "pr": 514, + "author": "Dugongue", + "head": "246bfacd4cb4072836ae3147099f548bb728229f", + "role": "Pinned Hamming modules and scalar constructor ancestry; derived from PR507 and PR425/433." + }, + { + "pr": 493, + "author": "eumemic", + "head": "c3a9a436b84fe44fdc223a5784d84736d1c2d3c7", + "role": "Unchanged bit supplier; published histogram repriced, operator not reconstructed." + }, + { + "pr": 484, + "author": "DreamingOfClouds", + "head": "035845ce95f31d0a2dcfb42b8c8e13411271fa5f", + "role": "Attributed shared-donor kernel, entrance-gauge, paid-wrapper and hosting lineage; original Claude Opus assistance notices retained." + } + ], + "related_ideas": [ + { + "pr": 522, + "author": "Dugongue", + "head": "e9f8075b5212e9bddf361097dbb022dcd052e0bb", + "role": "Rank-sector coordinate-total principle inspected and credited. Its ranksector99 patch is not imported; this word completes eight independent retired carriers before the center cut." + }, + { + "pr": 520, + "author": "higherbeing", + "head": "6077fa76950facbce11ec2f04dfbc93493114a44", + "role": "Face-packet delivery geometry and open allocation framing informed the bottleneck investigation; no PR520 implementation is copied." + } + ], + "comparison": { + "pr": 527, + "author": "rohanarun", + "head": "2080903b9e6bd01e3f64cc4c7c62ea1b3af0aa6a", + "kappa": "0.001467289440740487", + "role": "Latest comparable numerical PR in the recorded snapshot; comparison only." + }, + "new_contribution": "Same-partition direct output loading and two-half face delivery with 504 helpers; 72 compatible gauges and 80 exact kernel pivots; body frame coalescing; literal pure-pattern whole-owner allocation; fresh finite global invoice and exact kappa.", + "ancestry_file": "inputs/PR523-ANCESTRY.json", + "comparison_at_submission": { + "pr": 529, + "author": "chafreaky", + "head": "05fc7e332651a41860add3c217cd6f6e88758003", + "kappa": "0.001469603966017302", + "role": "Comparison only; no code or proof imported." + } +} diff --git a/research/kernel92-frame-composition/vendor/pr531/code/adapters_local.py b/research/kernel92-frame-composition/vendor/pr531/code/adapters_local.py new file mode 100644 index 0000000000..787416e4dd --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/code/adapters_local.py @@ -0,0 +1,60 @@ +"""Paid residual wrappers for entering helpers (Lemma A): generation and independent decoding. Apache-2.0. +Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. The wrapper construction follows PR #458 +(chafreaky): a helper that starts at frame E and ends at FULL has the physical residual S_E = T_FULL T_E^-1 (apply T_E^-1 first); +S_E = L_E (C_[w] x I) R_E with R_E applied first; the wrappers R_E^-1 before the whole local invocation and L_E^-1 after its +full-frame cleanup turn the residual into the coordinate factor C_[w] x I and restore the other 9 - w coordinates identically. +usage: adapters_gk.py CANONICAL-WORD.json.gz RESIDUAL-ADAPTERS.json OUT-LEMMA-A.json +Writes the recipes (generation uses clifford_exact.lower_child) and then DECODES the serialized monomials with the primitive +constructors of clifford_exact (not lower_child) and checks, for every entrance frame, that L_E^-1 S_E R_E^-1 has exactly the +tableau and zero-state vector (global phase included) of fourier(9, range(w)); mutated recipes (wrong phase, swapped sides, wrong +translation, wrong width) must be rejected.""" +import copy, gzip, json, sys +from pathlib import Path +# Package-path adaptation only; the exact wrapper mathematics is unchanged. +R = Path(__file__).resolve().parents[1] +sys.path.insert(0, str(R / 'vendor/clifford')) +from clifford_exact import canonical_frame, lower_child, fourier, diag, perm, xgate, Op, identity +n = 9; FULL = tuple(1 << i for i in range(n)) +def monomial_op(rec): + """decode a serialized monomial (matrix rows, quadratic rows, Z4 linear part, translation, phase)""" + out = diag(n, tuple(rec['quadratic_rows']), tuple(rec['linear_Z4'])).then(perm(n, tuple(rec['matrix_rows']))).then(xgate(n, rec['offset'])) + return out.then(Op(n, identity(n), [('phase', rec['phase'])])) +def S_of(U): + return canonical_frame(n, tuple(U)).adjoint().then(canonical_frame(n, FULL)) +def wrapped_ok(U, rec): + """exactly: L^-1 S R^-1 = C_[w] x I (apply order: R^-1, S, L^-1)""" + w = n - len(U); S = S_of(U); Rm = monomial_op(rec['right']); Lm = monomial_op(rec['left']) + net = Rm.adjoint().then(S).then(Lm.adjoint()); target = fourier(n, range(w)) + return rec['rank'] == w and net.tab == target.tab and net.zero_state() == target.zero_state() +def main(): + c = json.load(gzip.open(sys.argv[1])); frames = c['frames']; v = c['v'] + starts = sorted({c['start'][r] for r in range(2 * v, len(c['start'])) if c['start'][r] != 0}) + recipes = {} + for f in starts: + U = frames[f]; rec, compiled = lower_child(S_of(U)) + recipes[str(f)] = dict(frame=f, vectors=list(U), entrance_rank=len(U), rank=rec['rank'], left=rec['left'], right=rec['right']) + Path(sys.argv[2]).write_text(json.dumps(dict(status='RESIDUAL_ADAPTER_RECIPES', recipes=recipes), sort_keys=True, separators=(',', ':')) + '\n') + # ---- independent decode of the serialized file + data = json.loads(Path(sys.argv[2]).read_text())['recipes'] + dot = lambda a, b: bin(a & b).count('1') & 1 + detail = [] + for f in starts: + rec = data[str(f)]; U = frames[f] + assert wrapped_ok(U, rec), ('wrapper product is not C_[w] x I', f) + detail.append(dict(frame=f, entrance_rank=len(U), residual_width=n - len(U), vectors=list(U), all_even_weight=all(bin(x).count('1') % 2 == 0 for x in U), + totally_isotropic=all(dot(a, b) == 0 for a in U for b in U))) + controls = [] + def reject(name, fn): + f = starts[0]; rec = copy.deepcopy(data[str(f)]); fn(rec) + if wrapped_ok(frames[f], rec): raise AssertionError('mutated wrapper accepted: ' + name) + controls.append(name) + reject('wrong global phase', lambda r: r['right'].__setitem__('phase', (r['right']['phase'] + 1) % 4)) + reject('wrong translation', lambda r: r['left'].__setitem__('offset', r['left']['offset'] ^ 1)) + reject('wrong quadratic form', lambda r: r['right'].__setitem__('quadratic_rows', [x ^ 2 if i == 0 else x for i, x in enumerate(r['right']['quadratic_rows'])]) if False else r['right']['linear_Z4'].__setitem__(0, (r['right']['linear_Z4'][0] + 2) % 4)) + reject('sides swapped', lambda r: (r.__setitem__('left', r['right']), r.__setitem__('right', r['left']))) + reject('wrong width', lambda r: r.__setitem__('rank', r['rank'] + 1)) + res = dict(status='PASS_RESIDUAL_WRAPPERS_ARE_EXACT', frames=len(detail), wrappers_reject=controls, all_even_weight=all(d['all_even_weight'] for d in detail), + all_totally_isotropic=all(d['totally_isotropic'] for d in detail), detail=detail) + Path(sys.argv[3]).write_text(json.dumps(res, indent=1) + '\n') + print('Lemma A (exact): L^-1 S_E R^-1 = C_[w] x I for', len(detail), 'entrance frames, global phase included;', len(controls), 'wrapper mutations rejected; all-even-weight:', res['all_even_weight']) +if __name__ == '__main__': main() diff --git a/research/kernel92-frame-composition/vendor/pr531/code/assemble.py b/research/kernel92-frame-composition/vendor/pr531/code/assemble.py new file mode 100644 index 0000000000..a234aecb14 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/code/assemble.py @@ -0,0 +1,42 @@ +"""Two exact moment engines and strict outer composition of a new PR484 rehosting +with the unchanged published PR493 bit supplier. Prepared by OpenAI Codex; arithmetic +engines are pinned inherited PR361/Mercator and independent base-two code. +Usage: assemble_candidate.py AUDIT_OUT PARENT_VARIANT HOSTED BIT_RESULT +""" +from pathlib import Path +from fractions import Fraction as Q +import json,gzip,sys,hashlib,importlib.util +O,V,H,B=map(Path,sys.argv[1:5]);sha=lambda p:hashlib.sha256(p.read_bytes()).hexdigest() +def load(n): + p=V/'work/pr361/code/engines'/(n+'.py');s=importlib.util.spec_from_file_location('candidate_'+n,p);m=importlib.util.module_from_spec(s);s.loader.exec_module(m);return m +M,Other,Outer=[load(n)for n in ['moment','base_two_moment','outer']] +owner=json.loads((O/'OWNERS-AND-PROFILE.json').read_text());inv=json.loads((O/'PREFIX-AND-INVOICE.json').read_text());host=json.loads((H/'HOSTED.json').read_text());bit=json.loads(B.read_text())["eleven"];P={int(r):n for r,n in owner['paid_profile'].items()};m,W=73,owner['live'];assert m*W-sum(r*n for r,n in P.items())==2560 +rc=M.certify(P,m,W,True);b=Q(rc['lower']);bp=Q(rc['upper']);assert bp-b==Q(1,10**24) +fallback=32*m*m*sum(P.values());receipts=[] +for z,accept in[(b,True),(bp,False)]: + ml,mh=M.moment(P,m,W,z,True);a,c=Other.moment(m,W,list(P.items()),z);d,e=Other.moment(m,W,[(1,fallback)],z);a+=d/10**16;c+=e/10**16 + assert (mh<1 and c<1)if accept else(ml>1 and a>1) + receipts.append(dict(endpoint=str(z),mercator=[str(ml-1),str(mh-1)],base_two=[str(a-1),str(c-1)],accept=accept)) +# Reprice the cited unchanged bit histogram, clearly separate from bit operator verification. +bitP={int(r):n for r,n in bit['profile'].items()};bitc=Q(bit['bit_lower']);bitnext=bitc+Q(1,10**24) +for zz,accepted in [(bitc,True),(bitnext,False)]: + bl,bh=M.moment(bitP,78,9600,zz,True) + ol,oh=Other.moment(78,9600,list(bitP.items()),zz) + fl,fh=Other.moment(78,9600,[(1,32*78*78*sum(bitP.values()))],zz) + assert (bh<1 and oh+fh/10**16<1) if accepted else (bl>1 and ol+fl/10**16>1) +c=Q(bit['bit_lower']);eta=beta=Q(1,10**18);grid=Q(1,10**18);s=min(c,(1-beta)*b)-Q(1,10**24) +assert 00 + cut=max(ceil(36/gap**2),ceil(2*(4+coeff)/gap));assert cut*gap**2>=36 and cut*gap>=2*(4+coeff);cuts.append(dict(gap=str(gap),cutoff_log2=str(cut)));chain.append(a) +q=chain[-1]*(1-2*eta);margin=(1-eta)*q/(1+q);ticks=margin/grid;kap=grid*((ticks.numerator-1)//ticks.denominator) +bridge={'semantic':{'C0':{'base':2,'exponent':210000},'strict_literal_gap':1},'rows':{'degree_gap':Q(10**6)-Q(51*row,25)}} +a=Outer.assembly(chain[-1],b,bridge,kap,eta=eta,beta=beta);assert len(a['strict_constraints'])==47 and all(x>0 for x in a['strict_constraints'].values());controls=[] +for name,k,e,be in [('next_grid',kap+grid,eta,beta),('zero_eta',kap,Q(0),beta),('zero_beta',kap,eta,Q(0)),('unit_beta',kap,eta,Q(1))]: + try:Outer.assembly(chain[-1],b,bridge,k,eta=e,beta=be) + except AssertionError:controls.append(name) + else:raise AssertionError(name) +res=dict(status='PASS_ASYNC_COMPLEX_AND_CITED_BIT_EXACT_ASSEMBLY',complex_lower=str(b),complex_decimal=rc['lower'],next_b_rejected=str(bp),exact_moment_receipts=receipts,bit_lower=str(c),bit_result_sha256=sha(B),bit_template_sha256=bit['emitted_program_sha256'],bit_prefix_bits=bit['bit']['charged_prefix_bits'],bit_charged_three_level_coefficient_bits=coeff,external_row_allowance=row,kappa=str(kap),kappa_decimal=f'{float(kap):.18f}',binding_component='bit'if c<(1-beta)*b else'complex',strict_outer_constraints={k:str(v)for k,v in a['strict_constraints'].items()},outer_controls=controls,bootstrap=cuts,complex_template_sha256=host['template_sha256'],owner_audit_sha256=sha(O/'OWNERS-AND-PROFILE.json'),invoice_sha256=sha(O/'PREFIX-AND-INVOICE.json'),bit_scope='PR493 published profile and operator reused as a pinned dependency; this verifier reprices its published profile but does not reconstruct that unchanged bit operator.',scope='Conditional finite witness. Inherited compiler, precision/tape and analytic-transfer contracts remain assumed; changed-host operator admission recorded separately.') +(O/'EXACT-ASSEMBLY.json').write_text(json.dumps(res,indent=2)+'\n');print(res['status'],'b',res['complex_decimal'],'kappa',res['kappa_decimal'],flush=True) diff --git a/research/kernel92-frame-composition/vendor/pr531/code/audit_and_transport.py b/research/kernel92-frame-composition/vendor/pr531/code/audit_and_transport.py new file mode 100644 index 0000000000..95ae517f2e --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/code/audit_and_transport.py @@ -0,0 +1,222 @@ +"""Rebuild arbitrary-dirt compensation and transport a changed local word. + +Prepared for icekylinx with GPT-6 Astra assistance. Apache-2.0. +Adapted from PR425/433 (icekylinx), PR484's audit_gk.py +(DreamingOfClouds), and Round19's 112-port transport. This auditor does not +import a constructor, a nominated compensation table, or a global price. +Only the changed scalar word and its actual frame chains are checked here. +""" +import argparse +import copy +import gzip +import hashlib +import json +import time +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + + +def read(path): + data = path.read_bytes() + return json.loads(gzip.decompress(data) if path.suffix == '.gz' else data) + + +def content_hash(path): + data = path.read_bytes() + return hashlib.sha256(gzip.decompress(data) if path.suffix == '.gz' else data).hexdigest() + + +def basis(vs): + pivots = {} + for x in vs: + for k in sorted(pivots, reverse=True): + if x >> k & 1: + x ^= pivots[k] + if x: + k = x.bit_length() - 1 + for j in pivots: + if pivots[j] >> k & 1: + pivots[j] ^= x + pivots[k] = x + return tuple(pivots[k] for k in sorted(pivots, reverse=True)) + + +def apply(e, rows): + if e[0] == 'scale': + _, target, a, b, *_ = e + q = Q(a, b) + assert q + rows[target] = {j: q*x for j, x in rows[target].items()} + else: + _, target, source, a, b, *_ = e + assert target != source + q = Q(a, b) + for j, x in list(rows[source].items()): + value = rows[target].get(j, Q(0)) + q*x + if value: + rows[target][j] = value + else: + rows[target].pop(j, None) + + +def inverse(e): + e = copy.deepcopy(e) + if e[0] == 'add': + e[3] *= -1 + else: + e[2], e[3] = e[3], e[2] + return e + + +def dual(e): + e = inverse(e) + if e[0] == 'add': + e[1], e[2] = e[2], e[1] + return e + + +def run(raw_path, routing_path, out): + start_time = time.monotonic() + word, routing = read(raw_path), read(routing_path) + v, h, helpers = word['report']['v'], word['report']['h'], word['report']['R'] + assert h == 9 and v == 112 and routing['v'] == v + n = 2*v + helpers + ident = lambda: [{r: Q(1)} for r in range(n)] + main = word['A'] + word['cut'] + word['B'] + assert all(not v <= e[2] < 2*v for e in word['A'] + word['B'] + if e[0] == 'add' and not v <= e[1] < 2*v) + matrix = ident() + for e in main: + apply(e, matrix) + dirty = [{} for _ in range(n)] + for r in range(v, 2*v): + dirty[r] = {j: x for j, x in matrix[r].items() if j >= 2*v} + for e in word['precondition']: + apply(e, dirty) + compensation = [['add', r, j, -q.numerator, q.denominator, []] + for r in range(v, 2*v) for j, q in sorted(dirty[r].items())] + entering = set(map(int, word.get('start_extra', {}))) + assert all(e[2] not in entering for e in compensation) + cleanup = [inverse(e) for e in reversed(word['A'] + word['B']) + if not v <= e[1] < 2*v] + assert [e[:-1] for e in cleanup] == [e[:-1] for e in word['cleanup']] + program = word['precondition'] + compensation + main + cleanup + for backward in (False, True): + actual = ident() + for e in program: + apply(dual(e) if backward else e, actual) + expected = ident() + for t in range(v): + expected[t if backward else v+t][v+t if backward else t] = Q(-1 if backward else 1) + assert actual == expected, ('arbitrary-dirt endpoint', backward) + # The native scalar compiler allows dyadic additions and signed binary scales. + for e in program: + q = Q(e[3], e[4]) if e[0] == 'add' else Q(e[2], e[3]) + assert q.denominator & (q.denominator-1) == 0 + if e[0] == 'scale': + a = abs(q.numerator) + assert a and a & (a-1) == 0 + + tau = lambda x: x ^ (43 if (x & 43).bit_count() % 2 else 0) + ports = routing['ports'] + assert len(set(ports)) == v and set(map(tau, word['ports'])) == set(ports) + mapping = {i: ports.index(tau(p)) for i, p in enumerate(word['ports'])} + mapping.update({v+i: v+mapping[i] for i in range(v)}) + mapping.update({r: r for r in range(2*v, n)}) + full = tuple(1 << i for i in range(h-1, -1, -1)) + frames, frame_ids = [(), full], {(): 0, full: 1} + + def fid(vectors): + frame = basis(vectors) + if frame not in frame_ids: + frame_ids[frame] = len(frames) + frames.append(frame) + return frame_ids[frame] + + def transform(e): + e = copy.deepcopy(e) + e[1] = mapping[e[1]] + if e[0] == 'add': + e[2] = mapping[e[2]] + if e[-1] is not None: + e[-1] = fid([tau(x) for x in e[-1]]) + return e + + canonical = {key: [transform(e) for e in word[key]] + for key in ('A', 'B', 'cut', 'cleanup', 'precondition')} + canonical['compensation'] = [transform(e) for e in compensation] + canonical['start'] = [fid([p]) for p in ports] + [0]*(v+helpers) + for r, frame in word.get('start_extra', {}).items(): + assert 2*v <= int(r) < n + canonical['start'][int(r)] = fid([tau(x) for x in frame]) + canonical['final'] = ([1]*v + + [fid(x for x in range(1, 1 << h) if (x & p).bit_count() % 2 == 0) for p in ports] + + [1]*helpers) + canonical.update(h=h, v=v, R=helpers, ports=ports, frames=frames, + centers=[mapping[r] for r in word['centers']], + center_frames=[fid(tau(x) for x in frame) for frame in word['center_frames']]) + levels = {mapping[v+int(t)]-v: fid(tau(x) for x in frame) + for t, frame in word.get('target_levels', {}).items()} + canonical['target_levels'] = {str(t): f for t, f in levels.items()} + current, paid, edges = canonical['start'].copy(), Counter(), set() + + def climb(r, f): + old = current[r] + assert basis(frames[old] + frames[f]) == frames[f], ('nonmonotone', r, old, f) + if old != f: + degree = len(frames[f]) - len(frames[old]) + assert degree > 0 + paid[degree] += 1 + edges.add((old, f)) + current[r] = f + + for part in ('A', 'B'): + if part == 'B': + assert all(current[r] == f for r, f in zip(canonical['centers'], canonical['center_frames'])) + assert all(current[v+t] == levels.get(t, 0) for t in range(v)) + for r, frame in zip(canonical['centers'], canonical['center_frames']): + served = {levels.get(e[1]-v, 0) for e in canonical['cut'] if e[2] == r} + old = frame + for f in sorted(served, key=lambda f: -len(frames[f])): + assert basis(frames[old] + frames[f]) == frames[old] + if old != f: + paid[len(frames[old])-len(frames[f])] += 1 + edges.add((old, f)) + edges.add((f, old)) + old = f + for e in canonical[part]: + for r in [e[1]] + ([e[2]] if e[0] == 'add' else []): + climb(r, e[-1]) + for r, f in enumerate(canonical['final']): + climb(r, f) + assert dict(paid) == {int(r): count for r, count in word['report']['local_profile'].items()} + canonical['local_profile'] = dict(sorted(paid.items())) + canonical['edges'] = sorted(edges) + out.mkdir(parents=True, exist_ok=False) + payload = json.dumps(canonical, sort_keys=True, separators=(',', ':')).encode() + (out/'CANONICAL-WORD.json.gz').write_bytes(gzip.compress(payload, mtime=0)) + (out/'FULL-WORD.json.gz').write_bytes(gzip.compress(json.dumps(word, sort_keys=True, separators=(',', ':')).encode(), mtime=0)) + receipt = dict(status='PASS_CHANGED_WORD_ALL_COLUMNS_AND_NATIVE_FRAMES', + input_content_sha256=content_hash(raw_path), routing_content_sha256=content_hash(routing_path), + canonical_content_sha256=hashlib.sha256(payload).hexdigest(), + live_columns_each_orientation=n, helpers=helpers, + compensation_additions=len(compensation), scalar_operations=len(program), + center_rank_sum=sum(map(len, word['center_frames'])), + local_profile=dict(sorted(paid.items())), local_rank_mass=sum(r*z for r, z in paid.items()), + widths=[h-len(frames[f]) for f in canonical['start'][2*v:]], + frames=len(frames), directed_edges=len(edges), + tau=43, target_port_order_matches_baseline=True, + seconds=time.monotonic()-start_time, + scope='Fresh exact forward and inverse-transpose scalar replay on every arbitrary input; all native frame chains and dyadic primitives. Phase lowering, wrappers, global owners and global assembly are separate.') + (out/'SCALAR-FRAME-AUDIT.json').write_text(json.dumps(receipt, indent=2)+'\n') + print(json.dumps({k: value for k, value in receipt.items() if k != 'widths'}, indent=2), flush=True) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--raw', type=Path, required=True) + parser.add_argument('--routing', type=Path, required=True) + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + run(args.raw, args.routing, args.out) diff --git a/research/kernel92-frame-composition/vendor/pr531/code/audit_local.py b/research/kernel92-frame-composition/vendor/pr531/code/audit_local.py new file mode 100644 index 0000000000..a09611844a --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/code/audit_local.py @@ -0,0 +1,144 @@ +# Local-only extraction of the attributed PR514 / PR433 independent replay. +# Prepared for icekylinx with OpenAI Codex assistance. Apache-2.0. +# The complete local checker and its negative controls are retained verbatim. +# Global hosting is verified separately for the changed 112-port geometry. +import copy,gzip,hashlib,json,sys +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path +OUT=Path(sys.argv[1]) +c=json.load(gzip.open(OUT/'CANONICAL-WORD.json.gz')) +ir={'local_programs':json.load(gzip.open(OUT/'LOCAL-PROGRAMS.json.gz'))} +v,R,h=c['v'],c['R'],c['h'];n=2*v+R;frames=c['frames'] +levels={int(t):f for t,f in c.get('target_levels',{}).items()} +entering=[r for r,f in enumerate(c['start']) if r>=2*v and f!=0] +plain={r for r in range(n) if r not in set(entering)} +def contains(a,b): + for x in a: + for y in b: + if x>>(y.bit_length()-1)&1:x^=y + if x:return False + return True +def local(events,back): + rows={('L',r):{r:Q(1)} for r in range(n)} + norm={('L',r):Q(1) for r in range(n)};prefix=Q(1);cur=c['start'].copy();private={} + hist=Counter();phases=[];entry=[];exit=[];centers=[];matrix_hash=hashlib.sha256();chain={};wrappers=[] + allowed=['zero_frame_precondition','entry_adapters','A','centers','B','final','exit_adapters','full_frame_cleanup','done'] + for event in events: + tag=event[0] + if tag=='phase': + phases.append(event[1]);assert phases==allowed[:len(phases)] + if event[1]=='A':assert entry==[(r,f) for r,f in enumerate(c['start']) if r in plain] and sorted(r for k_,r,f_ in wrappers if k_=='pre')==entering # GK + if event[1]=='centers':assert all(cur[r]==levels.get(r-v,0) for r in range(v,2*v)) # GK + if event[1]=='full_frame_cleanup':assert cur==c['final'] and exit==list(enumerate(c['final'])) + assert not private + elif tag=='residual_adapter': # GK: paid wrappers of entering helpers: R_E^-1 before the invocation, L_E^-1 after the full-frame cleanup + _,kind,r,f=event;assert r in entering and f==c['start'][r] and kind in ('pre','post') + assert (kind=='pre' and phases[-1]=='entry_adapters') or (kind=='post' and phases[-1]=='full_frame_cleanup') + assert (kind,r) not in {(k,x) for k,x,_ in wrappers};wrappers.append((kind,r,f)) + elif tag=='adapter': + assert event[3]==(c['start'] if event[1]=='old_to_new' else c['final'])[event[2]] + (entry if event[1]=='old_to_new' else exit).append((event[2],event[3])) + elif tag=='climb': + _,part,r,a,b,rank=event + assert not private and phases[-1]==part and cur[r]==a + assert contains(frames[a],frames[b]) and rank==len(frames[b])-len(frames[a])>0 + hist[rank]+=1;cur[r]=b + elif tag=='center': + _,k,a,b,rank=event + assert phases[-1]=='centers' and private=={('C',k):a} + cf=c['center_frames'][k];cr=len(frames[cf]) + # GK: stepwise descent cf -> served levels -> lowest (forward), reversed ascent (backward); each step is a nested child + assert contains(frames[a],frames[b]) if back else contains(frames[b],frames[a]) + assert rank==abs(len(frames[a])-len(frames[b]))>0 + chain.setdefault(k,[]).append((a,b)) + private['C',k]=b;hist[rank]+=1;centers.append(k) + elif tag=='scalar': + _,e,f=event;op=e[0];target=tuple(e[1]);source=tuple(e[2]) if op in ('copy','add') else None + if target[0]=='C' and op=='clear': + assert private.get(target,f)==f + private.pop(target,None) + else: + for r in (target,source): + if r is None:continue + if r[0]=='L':assert cur[r[1]]==f,('common frame',r,cur[r[1]],f) + else: + if r==target and r not in private:private[r]=f + assert private[r]==f + if op=='clear':rows[target]={};norm[target]=Q(0) + elif op=='copy':rows[target]=dict(rows[source]);norm[target]=norm[source] + elif op=='scale': + q=Q(e[2],e[3]);a,b=abs(q.numerator),q.denominator + assert a&(a-1)==0 and b&(b-1)==0 + rows[target]={j:q*x for j,x in rows[target].items()};norm[target]*=abs(q) + else: + q=Q(e[3],e[4]);a,b=abs(q.numerator),q.denominator + assert source!=target and b&(b-1)==0 + # Independent symbolic replay of the cleared coefficient work. + w=0 + for bit in bin(a)[2:]:w=2*w+int(bit) + assert Q(w,b)*(1 if q>0 else -1)==q + prefix=max(prefix,Q(a)*norm[source]) + norm[target]=norm.get(target,Q(0))+abs(q)*norm[source] + row=rows.setdefault(target,{}) + for j,x in list(rows[source].items()): + z=row.get(j,Q(0))+q*x + if z:row[j]=z + else:row.pop(j,None) + prefix=max(prefix,norm[target]) + else:raise AssertionError(tag) + assert phases==allowed and set(centers)==set(range(len(c['centers']))) and not private + assert sorted(r for k,r,_ in wrappers if k=='pre')==entering and sorted(r for k,r,_ in wrappers if k=='post')==entering # GK + for k,st in chain.items(): # GK: the steps of each centre chain link up and end at the centre frame + cf=c['center_frames'][k] + if back:assert st[-1][1]==cf and all(st[i][1]==st[i+1][0] for i in range(len(st)-1)) + else:assert st[0][0]==cf and all(st[i][1]==st[i+1][0] for i in range(len(st)-1)) + assert all(not row for reg,row in rows.items() if reg[0]=='C') + for r in range(n): + expected={r:Q(1)} + if back and r>p&1:x ^= out[p] + if x: + p=x.bit_length()-1 + for q in out: + if out[q]>>p&1:out[q] ^= x + out[p]=x + return tuple(out[p] for p in sorted(out,reverse=True)) + + +def inside(F,G): + return basis(F+G)==G + + +def determinant(M): + M=copy.deepcopy(M);d=Q(1);n=len(M) + for c in range(n): + p=next((i for i in range(c,n) if M[i][c]),None) + if p is None:return Q(0) + if p!=c:M[p],M[c]=M[c],M[p];d=-d + q=M[c][c];d*=q;M[c]=[x/q for x in M[c]] + for i in range(c+1,n): + q=M[i][c] + if q:M[i]=[x-q*y for x,y in zip(M[i],M[c])] + return d + + +def main(): + ap=argparse.ArgumentParser() + ap.add_argument('--packets',type=Path,required=True) + ap.add_argument('--out',type=Path,required=True) + a=ap.parse_args() + pp=a.packets/'PROTOTYPE.json';mp=a.packets/'PACKET-PROGRAMS.json.gz' + D=json.loads(pp.read_text());P=D['binary_ports'];roots=D['root_lines'] + modules=json.loads(gzip.decompress(mp.read_bytes())) + modules={tuple(z['receipt']['block']):z for z in modules} + face={};own={};requests=defaultdict(list);frontier=[] + for c,z in sorted(modules.items()): + ids=z['receipt']['source_lines'];idx={s:i for i,s in enumerate(ids)} + rows=[[Q(i==j) for j in range(8)] if i<8 else [Q(0)]*8 for i in range(24)] + frames=[(P[s],) for s in ids]+[()]*16 + for (t,s,num,den),F in zip(z['events'][:40],z['event_frames'][:40]): + F=basis(F);assert inside(frames[t],F) and inside(frames[s],F) + frames[t]=frames[s]=F;q=Q(num,den) + rows[t]=[x+q*y for x,y in zip(rows[t],rows[s])] + tet=[sorted(s for s in ids if sum(roots[s][i]<0 for i in c)%2==parity) for parity in (0,1)] + p,q=c[:2],c[2:] + needed=set() + for parity,targets in enumerate(tet): + groups=defaultdict(list) + for t in targets:groups[roots[t][p[0]]*roots[t][p[1]]].append(t) + for eps,ts in sorted(groups.items()): + t,u=sorted(ts);zeta=-Q(2*roots[u][p[0]],roots[t][p[0]]) + e2=roots[t][q[0]]*roots[t][q[1]] + requests[c,p,eps].append((t,-Q(roots[t][p[0]],2))) + requests[c,q,e2].append((u,-Q(roots[t][q[0]],2))) + for target,sgn in ((t,1),(u,-1)): + want=[Q(0)]*8 + for s in tet[1-parity]: + gt=Q(sum(x*y for x,y in zip(roots[t],roots[s])),2) + gu=Q(sum(x*y for x,y in zip(roots[u],roots[s])),2) + want[idx[s]]=-gt/4+sgn*gu/(2*zeta) + assert sum(bool(x) for x in want)==2 + candidates=[] + for r,row in enumerate(rows): + nz=next((j for j,x in enumerate(row) if x),None) + if nz is None or not want[nz]:continue + alpha=want[nz]/row[nz] + if [alpha*x for x in row]==want:candidates.append((r,alpha)) + assert len(candidates)==1 + r,alpha=candidates[0];assert len(frames[r])==2 + needed.add(r);own[target]=frames[r] + assert len(needed)==8 + keys=[(p,e) for p in it.combinations(c,2) for e in (-1,1)] + early=[j for j,e in enumerate(z['events'][40:]) if not ({e[0],e[1]}&needed)] + assert len(early)==8 + retired=[] + for j in early: + t,s,num,den=z['events'][40+j];F=basis(z['event_frames'][40+j]) + assert inside(frames[t],F) and inside(frames[s],F) + frames[t]=frames[s]=F;qq=Q(num,den) + rows[t]=[x+qq*y for x,y in zip(rows[t],rows[s])] + retired.append(s) + assert len(set(retired))==8 and not set(retired)&needed + T=[rows[r] for r in retired];d=determinant(T);assert d + assert abs(d.numerator)&(abs(d.numerator)-1)==0 + assert d.denominator&(d.denominator-1)==0 + assert all(len(frames[r])==2 for r in needed) + for key,F in zip(keys,z['event_frames'][40:]):face[c,*key]=basis(F) + frontier.append(dict(block=c,source_lines_112=[s-8 for s in ids], + own_partial_registers=sorted(needed),early_face_indices=early, + early_face_keys=[keys[j] for j in early],retired_registers=retired, + retired_source_matrix=[[str(x) for x in row] for row in T], + determinant=str(d),own_partial_frames_preserved=True)) + + copies={} + for (c,p,e),F in face.items(): + for target in modules: + if target!=c and set(p)<=set(target):copies[c,p,e,target]=F + target_frames=dict(own);first_regs=[];deliveries=[] + for key,reqs in sorted(requests.items()): + assert len(reqs)==2 + c,p,e=key;aa,bb=sorted(d for d in modules if d!=c and set(p)<=set(d)) + for j,(target,coef) in enumerate(sorted(reqs)): + first,second=(aa,bb) if j==0 else (bb,aa) + r=(first,p,e,second);s=(second,p,e,c) + E=target_frames[target];assert inside(E,face[c,p,e]) + F=basis(E+copies[r]);assert len(F)==4 + future=basis(face[first,p,e]+face[c,p,e]);assert len(future)==5 and inside(F,future) + hyper=basis([x for x in range(1,512) if not (x&P[target]).bit_count()%2]) + assert inside(F,hyper) + target_frames[target]=copies[r]=F;first_regs.append(r) + deliveries.append(dict(target=target-8,block=c,pair=p,epsilon=e, + own_frame=list(E),own_face_frame=list(face[c,p,e]),first_source=first,second_source=second, + first_read_frame=list(F),future_M_frame=list(future),second_copy_key=s, + target_hyper=list(hyper))) + assert len(deliveries)==112 and len(set(first_regs))==112 + ordinary=0 + for c in modules: + for p in it.combinations(c,2): + aa,bb=sorted(d for d in modules if d!=c and set(p)<=set(d)) + for e in (-1,1): + if (c,p,e) in requests:continue + r=(aa,p,e,c);s=(bb,p,e,c) + F=basis(copies[r]+copies[s]);assert len(F)==5 + assert F==basis(face[aa,p,e]+face[bb,p,e]) + copies[r]=copies[s]=F;ordinary+=1 + assert ordinary==112 + for d in deliveries: + target=d['target']+8;s=d.pop('second_copy_key') + F=basis(target_frames[target]+copies[s]);assert len(F)==6 + assert inside(F,tuple(d['target_hyper'])) + d['second_copy_frame_before_read']=list(copies[s]);d['second_read_frame']=list(F) + target_frames[target]=copies[s]=F + report=dict(status='PASS_INDEPENDENT_SMALL_FRONTIER_AND_DELIVERY_CHECK',v=112, + prototype_sha256=hashlib.sha256(pp.read_bytes()).hexdigest(), + packets_sha256=hashlib.sha256(mp.read_bytes()).hexdigest(), + center_frontiers=frontier,deliveries=deliveries, + summary=dict(blocks_with_invertible_early_retired_basis=len(frontier), + determinant_counts=dict(Counter(x['determinant'] for x in frontier)), + own_partial_containments=112,first_read_rank4=112,second_read_rank6=112, + selected_keys_skipped=56,ordinary_M_keys=ordinary,distinct_first_face_copies=112), + scope='Only the changed local source-frontier and cross-face delivery lemmas. No full scalar response, entrance kernel, phase recipe, or global hosting audit.') + a.out.write_text(json.dumps(report,indent=2)+'\n') + print(json.dumps(report['summary'],sort_keys=True)) + + +if __name__=='__main__':main() diff --git a/research/kernel92-frame-composition/vendor/pr531/code/audit_supplier_hosted.py b/research/kernel92-frame-composition/vendor/pr531/code/audit_supplier_hosted.py new file mode 100644 index 0000000000..62b721b6e6 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/code/audit_supplier_hosted.py @@ -0,0 +1,155 @@ +"""OpenAI Codex independent serialized ASYNCHRONOUS controller/spectator audit. +Imports no emitter, optimizer, expander, edge-coloring, or source hosting code. +CLI: VERIFIED_VARIANT POOLED_HOSTED OUT.json [--mutation-controls] +The local provider is read from VERIFIED_VARIANT, never from a baseline width histogram. +""" +import sys,json,gzip,hashlib,copy +from pathlib import Path +from collections import Counter,defaultdict +BASE,OUT,REPORT=map(lambda p:Path(p).resolve(),sys.argv[1:4]);read=lambda p:json.loads(gzip.decompress(p.read_bytes())if p.suffix=='.gz'else p.read_bytes()) +parent=read(BASE/'split-centres/GLOBAL-TEMPLATE.json.gz');canon=read(BASE/'split-centres/CANONICAL-WORD.json.gz');checks=read(BASE/'split-centres/LOCAL-CHECKS.json');ph=read(BASE/'work/complex-nine-native/DATA-PHASES.json');ct=read(OUT/'GLOBAL-TEMPLATE.json.gz');summary=read(OUT/'HOSTED.json');V=canon['v'];R=canon['R'];N=2*V+R;CENTRES=len(canon['centers']);assert V==112 and canon['h']==9; width=[9-len(canon['frames'][canon['start'][2*V+h]])for h in range(R)];prank={e['child']:e['rank']for e in parent['idle_children']};M=73;T=8;DATA=8*T*V;PHYSICAL=DATA+CENTRES+R+2;CALLS=72;HOSTED=CALLS*R + +def orthobasis(port): + q=canon['ports'][port];z=next(i for i in range(9)if(q>>i)&1==0);a=q^(1<>i&1 else 0)for i in order]+[1<2*max(paid)**2 + return dict(profile=dict(sorted(paid.items())),mass=mass,hosted=HOSTED,entering=entering,cross_replica=cross,sigma_digest=digest.hexdigest(),sigmas=sigmas,idle_remainders=len(wanted),busy_family_checks=len(roles),invocations=72) + +r=audit(ct);raw=gzip.decompress((OUT/'GLOBAL-TEMPLATE.json.gz').read_bytes());assert hashlib.sha256(raw).hexdigest()==summary['template_sha256'];assert r['profile']=={int(k):v for k,v in summary['global_profile'].items()};assert r['sigmas']==read(OUT/'ACTUAL-SIGMAS.json.gz');assert r['sigma_digest']==summary['sigma_stream_sha256'] +assert all(hashlib.sha256((BASE/name).read_bytes()).hexdigest()==value for name,value in summary['source_artifacts'].items()) +controls=[] +def reject(name,mut): + if '--mutation-controls' not in sys.argv[4:]:return + q=copy.deepcopy(ct);mut(q) + try:audit(q) + except(AssertionError,KeyError,IndexError,ValueError,TypeError):controls.append(name) + else:raise AssertionError('ACCEPTED '+name) +enter=lambda q:next(o for c in q['calls']for o in c['owners'][(2*V):]if o[1][0]==4) +reject('alias two whole owners',lambda q:q['calls'][0]['owners'].__setitem__((2*V+1),q['calls'][0]['owners'][(2*V)])) +reject('helper on active data family',lambda q:q['calls'][0]['owners'][(2*V)].__setitem__(0,q['calls'][0]['owners'][0][0])) +reject('owner in private namespace',lambda q:q['calls'][0]['owners'][(2*V)].__setitem__(0,DATA)) +reject('wrong residual width',lambda q:enter(q)[1].__setitem__(3,enter(q)[1][3]-1)) +reject('wrong spectator coordinate',lambda q:enter(q)[1][4].__setitem__(0,72)) +reject('omit idle remainder',lambda q:q['idle_children'].pop()) +reject('understate physical reserve',lambda q:q.__setitem__('physical',PHYSICAL-1)) +report=dict(status='PASS_INDEPENDENT_ASYNC_WHOLE_OWNER_CONTROLLER_PHASES_AND_SPECTATORS',template_sha256=summary['template_sha256'],complex_template_sha256=summary['template_sha256'],complex_live=DATA,complex_profile=r['profile'],complex_hosted_residuals=HOSTED,physical=PHYSICAL,rank_mass=r['mass'],deficit=2560,entering_helper_roles=r['entering'],cross_replica_helper_roles=r['cross_replica'],one_owner_per_complete_invocation=True,helper_busy_family_window_checks=r['busy_family_checks'],complete_invocations=r['invocations'],actual_orthogonal_73column_maps=len(r['sigmas']),actual_sigma_stream_sha256=r['sigma_digest'],all_actual_residual_and_spectator_charts=True,idle_remainders=r['idle_remainders'],mutations_rejected=controls,mutation_controls_run='--mutation-controls' in sys.argv[4:],widths=dict(sorted(Counter(width).items())),scope='Independent exact asynchronous chronology, per-replica phase projection, owner/chart/paid-profile audit. Uses the new selected local program bound by fresh scalar, phase and residual-wrapper receipts; all-size compilation and complete coefficient invoice are separate inherited obligations.') +REPORT.write_text(json.dumps(report,indent=2)+'\n');print(json.dumps(report,indent=2)) + +owners=dict(status='PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE',template_sha256=summary['template_sha256'],paid_profile=r['profile'],live=DATA,physical=PHYSICAL,rank_mass=r['mass'],deficit=2560,hosted_residuals=HOSTED,banked_residuals=0,all_live_owners_per_call_distinct=True,owners_per_call=N,actual_helper_owner_charts=HOSTED,actual_73column_sigmas=len(r['sigmas']),cross_replica_helper_roles=r['cross_replica'],explicit_idle_remainder_children=r['idle_remainders'],source_idle_children_charged=sum(x['replicas']for x in parent['idle_children']),source_artifacts=summary['source_artifacts'],controller_audit_sha256=hashlib.sha256(REPORT.read_bytes()).hexdigest()) +(REPORT.parent/'OWNERS-AND-PROFILE.json').write_text(json.dumps(owners,indent=2)+'\n') + +# Literal residual frames are a compact export of the already checked offsets, +# not another global replay. Every row names its actual inherited axes. +frames=[] +for z in ct['idle_children']: + axes=list(map(int,ph['recipes'][z['port']]['idle_children'][z['child']]['orthogonal_axes'])) + tail=axes[z['pending_offset']:] + assert len(tail)==z['rank'] + frames.append(dict(z,orthogonal_axes=tail)) +frame_raw=json.dumps(frames,sort_keys=True,separators=(',',':')).encode() +(OUT/'IDLE-REMAINDER-FRAMES.json.gz').write_bytes(gzip.compress(frame_raw,mtime=0)) +frame_receipt=dict(status='PASS_LITERAL_IDLE_REMAINDER_FRAMES',template_sha256=summary['template_sha256'], + uncompressed_frames_sha256=hashlib.sha256(frame_raw).hexdigest(),children=len(frames), + rank_profile=dict(sorted(Counter(z['rank']for z in frames).items())), + source_data_phase_sha256=hashlib.sha256((BASE/'work/complex-nine-native/DATA-PHASES.json').read_bytes()).hexdigest(), + scope='Actual orthogonal axes after the independently checked whole-owner prefix in each inherited pending child.') +(REPORT.parent/'IDLE-REMAINDER-FRAMES.json').write_text(json.dumps(frame_receipt,indent=2)+'\n') + diff --git a/research/kernel92-frame-composition/vendor/pr531/code/build_selected.py b/research/kernel92-frame-composition/vendor/pr531/code/build_selected.py new file mode 100644 index 0000000000..be31d64345 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/code/build_selected.py @@ -0,0 +1,51 @@ +"""Rebuild the frozen 504-helper supplier, without rerunning any search. + +The explicit entrance selection is the input proof object. Every selected +response relation is recomputed over rational numbers by the attributed +gauge/kernel rewriter, then the fixed scalar word is frame-coalesced. +Prepared for icekylinx with GPT-6 Astra assistance. Apache-2.0. +""" +import argparse +import gzip +import json +import subprocess +import sys +from pathlib import Path + + +def main(): + if not __debug__: + raise SystemExit('Assertions must be enabled.') + ap = argparse.ArgumentParser(description=__doc__) + ap.add_argument('--work', type=Path, required=True) + a = ap.parse_args() + root = Path(__file__).resolve().parents[1] + a.work = a.work.resolve() + assert not a.work.exists(), 'Use a new output directory.' + a.work.mkdir(parents=True) + subprocess.run([sys.executable, '-B', str(root/'code/construct_504.py'), + str(root/'inputs/hamming'), str(a.work/'raw')], check=True) + sys.path.insert(0, str(root/'vendor/gk')) + import gk_common as common + import gk_word as g + word = json.load(gzip.open(a.work/'raw/FULL-WORD.json.gz')) + common.V = g.V = word['report']['v'] + common.DATA = g.DATA = 8*8*common.V + selection = json.loads((root/'inputs/SELECTION.json').read_text()) + changed = g.build(word, selection, check=True) + for key in ('global_profile', 'live', 'complex_coarse_float', 'gain_percent_float'): + changed['report'].pop(key, None) + changed['report'].update(v=112, h=9, R=504, cst=64, + local_rank_mass=sum(int(r)*z for r,z in changed['report']['local_profile'].items()), + status='REBUILT_EXACT_SELECTED_WORD_PENDING_INDEPENDENT_REPLAY') + selected = a.work/'selected' + selected.mkdir() + (selected/'FULL-WORD.json.gz').write_bytes(g.dump(changed)) + subprocess.run([sys.executable, '-B', str(root/'code/coalesce_frames.py'), + '--word', str(selected/'FULL-WORD.json.gz'), + '--out', str(a.work/'coalesced')], check=True) + print(a.work/'coalesced/FULL-WORD.json.gz', flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/kernel92-frame-composition/vendor/pr531/code/coalesce_frames.py b/research/kernel92-frame-composition/vendor/pr531/code/coalesce_frames.py new file mode 100644 index 0000000000..923bb01d96 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/code/coalesce_frames.py @@ -0,0 +1,270 @@ +"""Raise gate frames inside their two successors to coalesce paid climbs. + +The scalar operations, register inventory, helper entrance frames, A/B cut, +center frames, target levels, and cleanup coefficients remain fixed. Every +accepted move is a monotone frame promotion, checked on both incident +register chains. This is a local entropy-fee descent, not an optimality proof. +""" +import argparse +import copy +import gzip +import hashlib +import json +import math +import time +from collections import Counter +from functools import lru_cache +from pathlib import Path + + +def basis(vectors): + b = {} + for x in vectors: + for p in sorted(b, reverse=True): + if x >> p & 1: + x ^= b[p] + if x: + p = x.bit_length() - 1 + for q in b: + if b[q] >> p & 1: + b[q] ^= x + b[p] = x + return tuple(b[p] for p in sorted(b, reverse=True)) + + +@lru_cache(None) +def span(F): + s = {0} + for x in F: + s |= {y ^ x for y in s} + return frozenset(s) + + +@lru_cache(None) +def intersection(F, G): + return basis(span(F) & span(G)) + + +def contained(F, G): + return basis(F + G) == G + + +def main(): + ap = argparse.ArgumentParser() + ap.add_argument('--word', type=Path, required=True) + ap.add_argument('--out', type=Path, required=True) + ap.add_argument('--coupled-seconds', type=float, default=0, + help='Optional bounded prefix search with successor propagation.') + a = ap.parse_args() + a.out.mkdir(parents=True, exist_ok=False) + source = a.word.read_bytes() + w = json.loads(gzip.decompress(source)) + before = copy.deepcopy(w) + V, R, h = len(w['ports']), w['report']['R'], w['report']['h'] + m = w['report'].get('m', 8*h+1) + FULL = basis([1 << i for i in range(h)]) + hyper = lambda p: basis([x for x in range(1, 1 << h) if not (x & p).bit_count() % 2]) + n = 2*V+R + starts = [(p,) for p in w['ports']] + [()]*(V+R) + for r, F in w.get('start_extra', {}).items(): + starts[int(r)] = basis(F) + levels = {int(t): basis(F) for t, F in w.get('target_levels', {}).items()} + nodes = [] + chains = [[] for _ in range(n)] + + def node(regs, F, section=None, index=None): + k = len(nodes) + nodes.append(dict(regs=list(regs), F=basis(F), section=section, index=index)) + for r in regs: + chains[r].append(k) + return k + + initial = [node([r], F) for r, F in enumerate(starts)] + mutable = [] + for section in ('A', 'B'): + if section == 'B': + for r, F in zip(w['centers'], w['center_frames']): + node([r], F, 'center_barrier') + for t in range(V): + node([V+t], levels.get(t, ()), 'target_barrier') + for i, e in enumerate(w[section]): + regs = e[1:3] if e[0] == 'add' else e[1:2] + mutable.append(node(regs, e[-1], section, i)) + for r in range(n): + node([r], hyper(w['ports'][r-V]) if V <= r < 2*V else FULL, 'final') + prev = {}; nxt = {} + for r, chain in enumerate(chains): + for x, y in zip(chain, chain[1:]): + nxt[x, r] = y + prev[y, r] = x + + def profile(): + H = Counter() + for r, chain in enumerate(chains): + for x, y in zip(chain, chain[1:]): + F, G = nodes[x]['F'], nodes[y]['F'] + assert contained(F, G), ('frame violation', r, x, y, F, G) + if nodes[y]['section'] in ('center_barrier', 'target_barrier'): + assert F == G, ('changed cut frame', r, F, G) + if len(G) > len(F): + H[len(G)-len(F)] += 1 + for r, F in zip(w['centers'], w['center_frames']): + served = sorted({levels.get(e[1]-V, ()) for e in w['cut'] if e[2] == r}, key=lambda G: -len(G)) + F = basis(F) + for G in served: + assert contained(G, F) + if len(F) > len(G): + H[len(F)-len(G)] += 1 + F = G + return H + + H0 = profile() + expected = Counter({int(r): z for r, z in w['report']['local_profile'].items()}) + assert H0 == expected, ('input profile disagreement', H0, expected) + fee = lambda H: sum(r*z*math.log(m/r) for r, z in H.items()) + moves = [] + passes = 0 + while True: + changed = 0 + passes += 1 + for k in reversed(mutable): + z = nodes[k] + F = z['F'] + G = FULL + for r in z['regs']: + G = intersection(G, nodes[nxt[k, r]]['F']) + assert contained(F, G) + if F == G: + continue + dh = Counter() + for r in z['regs']: + p = len(nodes[prev[k, r]]['F']) + q = len(nodes[nxt[k, r]]['F']) + for d, count in ((len(F)-p,-1),(q-len(F),-1),(len(G)-p,1),(q-len(G),1)): + if d: + dh[d] += count + dh = Counter({r: z for r, z in dh.items() if z}) + delta = fee(dh) + if not dh or delta < -1e-9: + moves.append(dict(section=z['section'], index=z['index'], old_frame=list(F), + new_frame=list(G), profile_delta=dict(sorted(dh.items())), + local_entropy_delta=delta, pass_number=passes)) + z['F'] = G + changed += 1 + if not changed: + break + coupled_attempts = 0 + coupled_groups = 0 + if a.coupled_seconds > 0: + deadline = time.monotonic() + a.coupled_seconds + native_start = next((i for i,e in enumerate(w['A']) + if any(r < V for r in (e[1:3] if e[0]=='add' else e[1:2]))), len(w['A'])) + prefix = [k for k in mutable if nodes[k]['section']=='A' and nodes[k]['index'] < native_start] + + def closure(k, G): + lifted = {} + queue = [(k,G)] + while queue: + j, want = queue.pop() + old = lifted.get(j, nodes[j]['F']) + new = basis(old + want) + if new == old: + continue + if nodes[j]['section'] not in ('A','B'): + return None + lifted[j] = new + for r in nodes[j]['regs']: + q = nxt[j,r] + if not contained(new,lifted.get(q,nodes[q]['F'])): + queue.append((q,new)) + return lifted + + def profile_delta(lifted): + edges = set() + for j in lifted: + for r in nodes[j]['regs']: + edges.add((prev[j,r],j)) + edges.add((j,nxt[j,r])) + # The same gate pair can be consecutive on two registers. The + # register identity must remain part of the edge multiplicity. + edges = {(prev[j,r],j,r) for j in lifted for r in nodes[j]['regs']} | \ + {(j,nxt[j,r],r) for j in lifted for r in nodes[j]['regs']} + dh = Counter() + for p,q,r in edges: + old = len(nodes[q]['F'])-len(nodes[p]['F']) + new = len(lifted.get(q,nodes[q]['F']))-len(lifted.get(p,nodes[p]['F'])) + if old: dh[old] -= 1 + if new: dh[new] += 1 + return Counter({r:z for r,z in dh.items() if z}) + + repeat = True + while repeat and time.monotonic() < deadline: + repeat = False + for k in reversed(prefix): + if time.monotonic() >= deadline: + break + F = nodes[k]['F'] + options = [] + for r in nodes[k]['regs']: + opts = [];j = nxt[k,r];steps=0 + while True: + G = nodes[j]['F'] + if G not in opts: opts.append(G) + if len(opts)>=4 or len(G)>=4 or (j,r) not in nxt or steps>=128: + break + j=nxt[j,r];steps+=1 + options.append(opts) + candidates = set(options[0]) if len(options)==1 else \ + {intersection(F1,F2) for F1 in options[0] for F2 in options[1]} + best = None + for G in sorted(candidates,key=lambda E:(len(E),E)): + if not len(F)>p&1:x^=b[p] + if x: + p=x.bit_length()-1 + for q in b: + if b[q]>>p&1:b[q]^=x + b[p]=x + return tuple(b[p] for p in sorted(b,reverse=True)) +def inside(a,b):return basis(a+b)==b +def hyper(p):return basis([x for x in range(1,512) if (x&p).bit_count()%2==0]) +FULL=basis([1<len(M):M.append(rr) + if len(M)==8:break + assert len(M)==8 + linear(regs,M,F) + for i,r in zip(c,regs): + assert rows[r]=={s:Q(R[s][i]) for s in ids} + block_totals[c,i]=r + +# All centers are complete while Y is still at zero. This is the crucial +# difference from an illegal early-own-Y prefix using the old center order. +centers=[] +for i in range(8): + regs=[block_totals[c,i] for c in sorted(blocks) if i in c] + F=hyper(P[frame[i]]);a=regs[0] + for b in regs[1:]:add(a,b,1,F) + centers.append(a) +centers += [frame[i] for i in range(8)] +center_frames=[cur[r] for r in centers] +assert list(map(len,center_frames))==[8]*8+[1]*8 +assert all(cur[v+t]==() for t in range(v)) + +phase=B +for t,(r,coef,F) in sorted(own_rows.items()): + assert cur[r]==F + add(v+t,r,coef,F) + +packets={} +for c,z in sorted(blocks.items()): + mp=maps[c] + for j,(e,F) in enumerate(list(zip(z['events'],z['event_frames']))[40:]): + if j not in early[c]: + t,s,a,b=e;add(mp[t],mp[s],Q(a,b),tuple(F)) + keys=[(p,eps) for p in it.combinations(c,2) for eps in (-1,1)] + for key,(r,alpha) in zip(keys,z['outputs']): + a=mp[r];b=alloc();add(b,a,1,cur[a]) + consumers=sorted(d for d in blocks if d!=c and set(key[0])<=set(d)) + assert len(consumers)==2 + for target,r in zip(consumers,(a,b)):packets[c,key[0],key[1],target]=(r,Q(alpha)) + +# Both tetrahedra use the same partition. A selected key has exactly two +# selected Y loads and no ordinary M consumer. Supply its two raw halves in +# opposite orders and never form that M. Other keys retain the old M path. +requests=defaultdict(list) +for pid,pair in enumerate(pairs): + if not pair['selected']:continue + (t,u),(key1,key2),mat=pair['targets'],pair['keys'],pair['matrix'] + requests[key1].append((t,-Q(mat[0][0],2))) + requests[key2].append((u,-Q(mat[0][1],2))) +second=[];first_join_counts=Counter() +for key,reqs in sorted(requests.items()): + assert len(reqs)==2 + c,p,eps=key + ds=sorted(d for d in blocks if d!=c and set(p)<=set(d));a,b=ds + for j,(target,coef) in enumerate(sorted(reqs)): + first_source,second_source=(a,b) if j==0 else (b,a) + r,alpha=packets[first_source,p,eps,second_source] + F=basis(cur[v+target]+cur[r]);assert inside(F,hyper(P[target])) + first_join_counts[len(F)]+=1;add(v+target,r,coef*alpha,F) + r,alpha=packets[second_source,p,eps,c] + second.append((target,r,coef*alpha)) + +Ms={} +for c in sorted(blocks): + for p in it.combinations(c,2): + ds=sorted(d for d in blocks if d!=c and set(p)<=set(d)) + for eps in (-1,1): + if (c,p,eps) in requests:continue + (a,alpha),(b,beta)=[packets[d,p,eps,c] for d in ds] + F=basis(cur[a]+cur[b]);add(a,b,beta/alpha,F) + Ms[c,p,eps]=(a,alpha) + +consumers=defaultdict(list) +for pid,pair in enumerate(pairs): + for key in pair['keys']:consumers[key].append(pid) +slots={} +for key,uses in sorted(consumers.items()): + assert len(uses)==2 + if key in requests: + assert all(pairs[i]['selected'] for i in uses) + continue + assert all(not pairs[i]['selected'] for i in uses) + a,alpha=Ms[key] + for j,pid in enumerate(uses): + if j==0:r=a + else:r=alloc();add(r,a,1,cur[a]) + slots[pid,key]=(r,alpha) +assert len(cur)-240==504 + +selected_join_counts=Counter() +for target,r,coef in second: + F=basis(cur[v+target]+cur[r]);assert inside(F,hyper(P[target])) + selected_join_counts[len(F)]+=1;add(v+target,r,coef,F) +output_basis=[] +for pair in pairs: + if not pair['selected']:continue + (t,u),mat=pair['targets'],pair['matrix'] + F=basis(cur[v+t]+cur[v+u]);assert inside(F,hyper(P[t])) and inside(F,hyper(P[u])) + add(v+t,v+u,1,F);add(v+u,v+t,-Q(1,2),F) + z=-Q(2*mat[1][0],mat[0][0]);scale(v+u,z,F);output_basis.append((t,u,z)) + +for pid,pair in enumerate(pairs): + if pair['selected']:continue + (t,u),(key1,key2),mat=pair['targets'],pair['keys'],pair['matrix'] + (a,alpha),(b,beta)=slots[pid,key1],slots[pid,key2] + F=basis(cur[a]+cur[b]);aa,ab=Q(mat[0][0])*alpha,Q(mat[0][1])*beta + ba,bb=Q(mat[1][0])*alpha,Q(mat[1][1])*beta + add(a,b,ab/aa,F);q=ba/(bb-ba*ab/aa);add(b,a,q,F) + add(v+t,a,-aa/2,hyper(P[t]));add(v+u,b,-(bb-ba*ab/aa)/2,hyper(P[u])) + +for t in range(v): + expected={s:-Q(G[t][s],2) for s in range(v) if s!=t and G[t][s] and s not in frame.values()} if t not in frame.values() else {} + assert rows[v+t]==expected,('side identity',t) + +scatter=[[Q(r[i],4) if t not in frame.values() else Q(0) for i in range(8)]+[Q(t==frame[i]) for i in range(8)] for t,r in enumerate(R)] +precondition=[] +for t,u,z in output_basis: + a,b=scatter[t].copy(),scatter[u].copy() + scatter[t]=[x/2-y/z for x,y in zip(a,b)] + scatter[u]=[x/2+y/z for x,y in zip(a,b)] + precondition.extend([['scale',v+u,(1/z).numerator,(1/z).denominator,[]], + ['add',v+u,v+t,1,2,[]],['add',v+t,v+u,-1,1,[]]]) +for r in range(len(cur)):climb(r,hyper(P[r-v]) if v<=r<2*v else FULL) +H[8]+=8;H[1]+=8 +assert sum(r*z for r,z in H.items())==9*504+240*8+72 + +def apply(e,matrix): + if e[0]=='add': + _,t,s,a,b,*_=e;q=Q(a,b) + for j,x in list(matrix[s].items()): + z=matrix[t].get(j,Q(0))+q*x + if z:matrix[t][j]=z + else:matrix[t].pop(j,None) + else: + _,t,a,b,*_=e;q=Q(a,b);matrix[t]={j:q*x for j,x in matrix[t].items()} +def inverse(e): + e=copy.deepcopy(e) + if e[0]=='add':e[3]*=-1 + else:e[2],e[3]=e[3],e[2] + e[-1]=list(FULL);return e +cut=[['add',v+t,centers[i],q.numerator,q.denominator,None] for t,row in enumerate(scatter) for i,q in enumerate(row) if q] +cleanup=[inverse(e) for e in reversed(A+B) if not v<=e[1]<2*v] +matrix=[{r:Q(1)} if r>p&1:x^=b[p] + if x: + p=x.bit_length()-1 + for q in b: + if b[q]>>p&1:b[q]^=x + b[p]=x + return tuple(b[p] for p in sorted(b,reverse=True)) +def dual(e): + e=list(e) + if e[0]=='add':e[1],e[2]=e[2],e[1];e[3]*=-1 + else:e[2],e[3]=e[3],e[2] + return e +def scalar(e,back): + e=dual(e) if back else list(e) + if e[0]=='add':return ['add',['L',e[1]],['L',e[2]],e[3],e[4]] + return ['scale',['L',e[1]],e[2],e[3]] +def primitive_bound(e): + if e[0] in ('clear','copy'):return 1 + q=Q(e[3],e[4]) if e[0]=='add' else Q(e[2],e[3]) + a,b=abs(q.numerator),q.denominator + assert b&(b-1)==0 + if e[0]=='scale': + assert a&(a-1)==0 + return abs(a.bit_length()-b.bit_length())+int(q<0) + # Exact binary Horner multiplication on a cleared private stream, repeated + # halving, signed accumulation into the target, then clear the private stream. + return 3+(a.bit_length()-1)+a.bit_count()+(b.bit_length()-1) + +def emit(back): + out=[];cur=c['start'].copy() + def event(e):out.append(e) + def scal(e,f):event(['scalar',e,f]) + event(['phase','zero_frame_precondition']) + for e in c['precondition']+c['compensation']: + regs=[e[1]]+([e[2]] if e[0]=='add' else []) + assert all(c['start'][r]==0 for r in regs) + scal(scalar(e,back),0) + event(['phase','entry_adapters']) + # GK: a helper that starts at a nonzero entrance frame has NO entry adapter; its paid wrapper R_E^-1 (Lemma A) precedes every gate + # that touches it and L_E^-1 follows the full-frame cleanup. Words without entrances emit PR #433's events. + entering=[r for r,f in enumerate(c['start']) if r>=2*v and f!=0] + for r,f in enumerate(c['start']): + if r in entering:event(['residual_adapter','pre',r,f]) + else:event(['adapter','old_to_new',r,f]) + def climb(r,f,part): + old=cur[r] + if old==f:return + assert basis(frames[old]+frames[f])==tuple(frames[f]) + rank=len(frames[f])-len(frames[old]);assert rank>0 + event(['climb',part,r,old,f,rank]);cur[r]=f + for part in ('A','centers','B','final'): + event(['phase',part]) + if part in ('A','B'): + for e in c[part]: + regs=[e[1]]+([e[2]] if e[0]=='add' else []) + for r in regs:climb(r,e[-1],part) + scal(scalar(e,back),e[-1]) + elif part=='centers': + # GK: targets sit at their nonzero-frame-compensation level (0 at the defaults); a centre copy descends + # cf -> served levels (descending chain) -> lowest served level and scatters into each target at its level + lv=lambda r:c.get('target_levels',{}).get(str(r-v),0) + assert all(cur[r]==lv(r) for r in range(v,2*v)) + for k,r in enumerate(c['centers']): + cf=c['center_frames'][k];assert cur[r]==cf + terms=[e for e in c['cut'] if e[2]==r] + path=[cf]+sorted({lv(e[1]) for e in terms}-{cf},key=lambda x:-len(frames[x])) + C=['C',k] + if not back: + scal(['clear',C],cf);scal(['copy',C,['L',r]],cf) + for a in range(len(path)): + if a>0:event(['center',k,path[a-1],path[a],len(frames[path[a-1]])-len(frames[path[a]])]) + for e in terms: + if lv(e[1])==path[a]:scal(['add',['L',e[1]],C,e[3],e[4]],path[a]) + scal(['clear',C],path[-1]) + else: + scal(['clear',C],path[-1]) + for a in range(len(path)-1,-1,-1): + for e in terms: + if lv(e[1])==path[a]:scal(['add',C,['L',e[1]],e[3],e[4]],path[a]) + if a>0:event(['center',k,path[a],path[a-1],len(frames[path[a-1]])-len(frames[path[a]])]) + scal(['add',['L',r],C,-1,1],cf);scal(['clear',C],cf) + else: + for r,f in enumerate(c['final']):climb(r,f,part) + event(['phase','exit_adapters']) + for r,f in enumerate(c['final']):event(['adapter','new_to_old',r,f]) + event(['phase','full_frame_cleanup']) + for e in c['cleanup']: + regs=[e[1]]+([e[2]] if e[0]=='add' else []) + assert all(c['final'][r]==1 for r in regs) + scal(scalar(e,back),1) + for r in entering:event(['residual_adapter','post',r,c['start'][r]]) # GK: L_E^-1 after the full-frame cleanup + event(['phase','done']) + return out + +def check_local(events,back): + # Literal scalar replay of the emitted stream, including center lifetimes. + state={('L',r):{r:Q(1)} for r in range(n)};live=[];paid=Counter();prims=0;macros=0 + for e in events: + if e[0]=='climb':assert not live;paid[e[5]]+=1 + elif e[0]=='center':assert live==[e[1]];paid[e[4]]+=1 + elif e[0]=='scalar': + op=e[1];tag=op[0];t=tuple(op[1]);macros+=1;prims+=2*primitive_bound(op) + if tag=='clear': + state[t]={} + if t[0]=='C' and t[1] in live:live.remove(t[1]) + elif tag=='copy':state[t]=dict(state.get(tuple(op[2]),{}));live.append(t[1]) + elif tag=='scale':state[t]={j:Q(op[2],op[3])*x for j,x in state[t].items()} + else: + s=tuple(op[2]);q=Q(op[3],op[4]);row=state.setdefault(t,{}) + if t[0]=='C' and t[1] not in live:live.append(t[1]) + for j,x in list(state.get(s,{}).items()): + z=row.get(j,Q(0))+q*x + if z:row[j]=z + else:row.pop(j,None) + assert not live and all(not row for r,row in state.items() if r[0]=='C') + for r in range(n): + expected={r:Q(1)} + if back and r>i)&1);u=q^(1<>i&1 else 0)for i in order]+[1<=0 and off+w<=rank[i] + assert z['time']==at[s,rep] and z['time'] in plan['windows'][f'{orp},{i}'][1] + B=OH.idle_basis(canon['ports'][port]);pending=list(map(int,ph['recipes'][port]['idle_children'][i]['orthogonal_axes']));assert len(pending)==rank[i] + occ=[B.index(v)for v in pending[off:off+w]];sp=OH.spectators(canon['ports'][port],pending,off,w)if w<9 else[] + order=occ+sp+[j for j in range(M)if j not in occ and j not in sp];assert len(order)==len(set(order))==M + sigma=[B[j]for j in order];sigmahash=hashlib.sha256(json.dumps(sigma,separators=(',',':')).encode()).hexdigest();sigmas[sigmahash]=sigma + route=[4,i,off,w,sp]if w<9 else[3,i,off];bycall[s,rep][h]=[f,route];entering+=w<9 + cells=set(range(off,off+w));assert not used[i,orp,port]&cells;used[i,orp,port]|=cells + digest.update(json.dumps([s,rep,h,f,sigmahash],separators=(',',':')).encode()+b'\n') +for c in t['calls']: + k=(c['stage'],c['replica']);assert set(bycall[k])==set(range(R)) + c['owners']=c['owners'][:(2*V)]+[bycall[k][h]for h in range(R)];assert len({f for f,r in c['owners']})==2*V+R and all(f2*max(paid)**2 + +assert t['local_programs']==parent['local_programs'] +raw=json.dumps(t,sort_keys=True,separators=(',',':')).encode();(OUT/'GLOBAL-TEMPLATE.json.gz').write_bytes(gzip.compress(raw,mtime=0)) +res=dict(status='EMITTED_ASYNCHRONOUS_WHOLE_OWNER_COMPLEX_TEMPLATE',template_sha256=hashlib.sha256(raw).hexdigest(),parent_template_sha256=hashlib.sha256(gzip.decompress((BASE/'split-centres/GLOBAL-TEMPLATE.json.gz').read_bytes())).hexdigest(),live=DATA,physical=physical,global_profile=dict(sorted(paid.items())),rank_mass=sum(r*n for r,n in paid.items()),deficit=2560,maxchild=max(paid),hosted_residuals=len(roles),banks_per_stage=[0]*9,entering_helper_roles=entering,unique_actual_73column_sigmas=len(sigmas),sigma_stream_sha256=digest.hexdigest(),cross_replica_helper_roles=sum(z['replica']!=z['owner_replica']for z in roles),asynchronous_order_sha256=hashlib.sha256(json.dumps(call_order,separators=(',',':')).encode()).hexdigest(),source_artifacts={p.relative_to(BASE).as_posix():hashlib.sha256(p.read_bytes()).hexdigest()for p in [BASE/'split-centres/CANONICAL-WORD.json.gz',BASE/'split-centres/LOCAL-PROGRAMS.json.gz',BASE/'split-centres/LOCAL-CHECKS.json',BASE/'split-centres/RESIDUAL-ADAPTERS.json',BASE/'split-centres/CLIFFORD-RECIPES.json',BASE/'split-centres/CLIFFORD-REVIEW.json',BASE/'split-centres/INDEPENDENT-LOCAL-REPLAY.json',BASE/'work/complex-nine-native/DATA-PHASES.json']},scope='New emitted complete-invocation placement; independent controller/spectator/normalization and complete finite invoice admission required.') +(OUT/'HOSTED.json').write_text(json.dumps(res,indent=2)+'\n');(OUT/'ACTUAL-SIGMAS.json.gz').write_bytes(gzip.compress(json.dumps(sigmas,separators=(',',':')).encode(),mtime=0));print(json.dumps(res,indent=2)) diff --git a/research/kernel92-frame-composition/vendor/pr531/code/invoice_final.py b/research/kernel92-frame-composition/vendor/pr531/code/invoice_final.py new file mode 100644 index 0000000000..abefcee47b --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/code/invoice_final.py @@ -0,0 +1,299 @@ +"""Recount a changed local word and its actual asynchronous finite invoice. + +Prepared for icekylinx with OpenAI Codex assistance. Apache-2.0. +Adapted from the attributed Round19 audit_async_invoice.py and its PR484/514 +ancestry. Uses the fresh hash-bound independent local replay for exact scalar +endpoints; independently recounts emitted Horner work, prefix envelopes, +paid local calls, wrappers and finite charges. Does not rerun the old baseline +or read an old INTEGRATION.json as evidence for the changed word. +""" +import argparse +import gzip +import hashlib +import json +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + + +def read(path): + data = path.read_bytes() + return json.loads(gzip.decompress(data) if path.suffix == '.gz' else data) + + +def filehash(path): + return hashlib.sha256(path.read_bytes()).hexdigest() + + +def contenthash(path): + data = path.read_bytes() + return hashlib.sha256(gzip.decompress(data) if path.suffix == '.gz' else data).hexdigest() + + +def run(base, hosted, audit, out, retained_invoice=None): + local_dir = base / 'split-centres' + cp = local_dir / 'CANONICAL-WORD.json.gz' + pp = local_dir / 'LOCAL-PROGRAMS.json.gz' + rp = local_dir / 'INDEPENDENT-LOCAL-REPLAY.json' + w, programs, replay = read(cp), read(pp), read(rp) + checks = read(local_dir / 'LOCAL-CHECKS.json') + parent = read(local_dir / 'GLOBAL-TEMPLATE.json.gz') + template_path = hosted / 'GLOBAL-TEMPLATE.json.gz' + template = read(template_path) + owners = read(audit / 'OWNERS-AND-PROFILE.json') + control = read(audit / 'ASYNC-AUDIT.json') + template_hash = contenthash(template_path) + assert template_hash == control['complex_template_sha256'] == owners['template_sha256'] + assert owners['status'] == 'PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE' + assert replay['status'] == 'PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY' + assert replay['canonical_word_sha256'] == filehash(cp) + assert replay['local_programs_sha256'] == filehash(pp) + assert template['local_programs'] == parent['local_programs'] == programs + assert template['recipe'] == parent['recipe'] + assert Counter(c['orientation'] for c in template['calls']) == Counter(c['orientation'] for c in parent['calls']) + + v, helpers, h, m = w['v'], w['R'], w['h'], template['m'] + assert v == 112 and h == 9 and m == 73 + assert replay['v'] == v and replay['helpers'] == helpers + n = 2*v + helpers + stages, replicas, blocks_per_stream = 9, 8, 4 + call_count = len(template['calls']) + assert call_count == stages*replicas == control['complete_invocations'] + assert control['one_owner_per_complete_invocation'] + payload = 512 + + widths = [h-len(w['frames'][f]) for f in w['start'][2*v:]] + assert len(widths) == helpers + entrances = {r: f for r, f in enumerate(w['start']) if r >= 2*v and f != 0} + entering = len(entrances) + assert entering == replay['entering_helpers'] + local = {} + for orientation, events in programs.items(): + # Endpoint equality and native frames were already independently + # replayed on all n columns in the hash-bound receipt above. + env = {('L', r): Q(1) for r in range(n)} + peak = Q(1) + real = macros = workops = 0 + paid = Counter() + wrappers = {'pre': set(), 'post': set()} + for event in events: + tag = event[0] + if tag == 'climb': + paid[event[5]] += 1 + elif tag == 'center': + paid[event[4]] += 1 + elif tag == 'residual_adapter': + _, kind, register, frame = event + assert kind in wrappers and entrances.get(register) == frame + assert register not in wrappers[kind] + wrappers[kind].add(register) + elif tag == 'scalar': + macros += 1 + scalar = event[1] + op, target = scalar[0], tuple(scalar[1]) + if op == 'clear': + env[target] = Q(0) + count = 1 + elif op == 'copy': + env[target] = env[tuple(scalar[2])] + count = 1 + elif op == 'scale': + q = Q(scalar[2], scalar[3]) + numerator, denominator = abs(q.numerator), q.denominator + assert numerator and numerator & (numerator-1) == 0 + assert denominator & (denominator-1) == 0 + env[target] *= abs(q) + count = abs(numerator.bit_length()-denominator.bit_length()) + int(q < 0) + elif op == 'add': + source = tuple(scalar[2]) + q = Q(scalar[3], scalar[4]) + numerator, denominator = abs(q.numerator), q.denominator + assert source != target and numerator > 0 + assert denominator & (denominator-1) == 0 + acc, count = 0, 1 # clear coefficient work + for i, bit in enumerate(bin(numerator)[2:]): + if i: + acc *= 2 + count += 1 + peak = max(peak, acc*env[source]) + if bit == '1': + acc += 1 + count += 1 + peak = max(peak, acc*env[source]) + value = Q(acc) + for _ in range(denominator.bit_length()-1): + value /= 2 + count += 1 + peak = max(peak, value*env[source]) + assert value == abs(q) + count += 2 # signed accumulation and work clear + env[target] = env.get(target, Q(0)) + abs(q)*env[source] + workops += count + else: + raise AssertionError(op) + real += 2*count + peak = max(peak, env[target]) + else: + assert tag in ('adapter', 'phase') + assert wrappers['pre'] == wrappers['post'] == set(entrances) + assert all(value == 0 for register, value in env.items() if register[0] == 'C') + prior = replay['local'][orientation] + assert prior['all_exact_columns'] == n and prior['private_work_erased'] + assert peak == Q(prior['prefix_l1_upper']) and peak < 2**prior['charged_payload_bits'] + bits = peak.numerator.bit_length()-peak.denominator.bit_length()+1 + assert bits == prior['prefix_bits_upper'] + assert real == checks[orientation]['real_component_primitive_bound'] + assert macros == checks[orientation]['scalar_macros'] + assert dict(paid) == {int(r): count for r, count in checks[orientation]['paid_profile'].items()} + assert dict(paid) == {int(r): count for r, count in replay['paid_profiles'][orientation].items()} + local[orientation] = dict( + events=len(events), macros=macros, real_component_primitives=real, + prefix_l1=str(peak), prefix_bits=bits, + coefficient_work_primitive_count=workops, all_exact_columns=n, + dirty_helper_columns=helpers, all_dirty_helper_columns_restored=True, + private_centres_and_coefficient_work_cleared=True, + pre_wrappers=len(wrappers['pre']), post_wrappers=len(wrappers['post']), + endpoint_evidence='Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json') + + centres = len(w['centers']) + children = sum(checks['forward']['paid_profile'].values()) + assert checks['forward']['paid_profile'] == checks['backward']['paid_profile'] + macro_bound = max(row['macros'] for row in local.values()) + compiler = 64*(m+1)**3 + adapters = 16*(macro_bound+children+n+centres)+64*m + primitive_bound = max(row['real_component_primitives'] for row in local.values())+adapters*compiler + + bridge_steps = sum(event['kind'] == 'bridge' for event in parent['recipe']) + bridge_sweeps = sum(event['kind'] == 'bridge' for event in template['execution_schedule']) + assert bridge_sweeps == replicas*bridge_steps + bridge_additions = 2*v*bridge_sweeps + shifts = blocks_per_stream*v*replicas + moves = 2*shifts + parent_live, parent_physical = parent['live'], parent['physical'] + data_stock = 2*v*blocks_per_stream*replicas + assert (parent_live-data_stock) % stages == 0 + parent_banks = (parent_live-data_stock)//stages + assert parent_banks >= 0 + assert parent_physical == parent_live+helpers+centres+2 + scalar = sum(local[call['orientation']]['real_component_primitives'] for call in template['calls']) + factors_per_wrapper = 2*(m-1) + wrapper_factors = 2*call_count*entering*factors_per_wrapper + nonlocal_items = ( + 4*v*replicas*stages + 2*v*replicas*stages + + 2*call_count*helpers + + sum(child['replicas'] for child in parent['idle_children']) + + stages*parent_banks + bridge_additions + shifts + moves + + parent_live + parent_physical + wrapper_factors) + outside = 8*nonlocal_items+64*m + parent_pervertex = ( + scalar+bridge_additions+shifts+moves+parent_live + +(call_count*adapters+outside)*compiler+64*parent_physical) + + live, physical = template['live'], template['physical'] + mass, profile = owners['rank_mass'], owners['paid_profile'] + assert m*live-mass == owners['deficit'] == 2560 + assert mass == sum(int(r)*count for r, count in profile.items()) + assert physical == live+helpers+centres+2 + assert live == owners['live'] and physical == owners['physical'] + assert live <= parent_live and physical <= parent_physical + assert not template['bank_padding']['families'] + assert owners['explicit_idle_remainder_children'] <= owners['source_idle_children_charged'] + rebased = parent_pervertex+65*(physical-parent_physical)+(live-parent_live) + used = max(rebased, parent_pervertex) + retained = None + if retained_invoice is not None: + previous = read(retained_invoice) + assert previous['compiler'] == compiler + assert previous['charged_prefix_bits'] == payload + previous_bound = previous['conservative_pervertex_used'] + # The entire newly reconstructed charge is added to the retained old + # allowance. This is intentionally stronger than only paying positive + # deltas and makes no claim that the old integration certifies this word. + used = max(used, previous_bound+parent_pervertex) + retained = dict(sha256=filehash(retained_invoice), + previous_pervertex_allowance=previous_bound, + added_complete_new_pervertex=parent_pervertex, + policy='Retain old allowance and add the entire fresh recount.') + + half = m//2 + group = 2**(half*half) + for i in range(1, half+1): + group *= 2**(2*i)-1 + stock, streamed_mass = group*physical, group*mass + logical = group*used+64 + router = compiler*(logical+1)*(stock+1)**2 + g_bound, e_bound, c0 = 2**30000, 2**100000, 2**210000 + total_mass = streamed_mass+e_bound + literal = 2*g_bound*stock**2+8*streamed_mass+4*stock+4+32*m + row = 2*stock.bit_length()+9909+252+2*payload + maxchild = max(map(int, profile)) + inequalities = dict( + local_primitive_bound=primitive_bound < 2**48, + logical=logical < 2**6050, router=router < g_bound, + literal=literal < e_bound, mass=total_mass < 2**100001, + precision=32*m*total_mass*total_mass < c0, + tape=2*total_mass+18 < c0, row=row < 20161, + halving=m*m > 2*maxchild*maxchild) + assert all(inequalities.values()) + localbits = max(row['prefix_bits'] for row in local.values()) + input_l2_bits = (m+1)//2 + required_prefix = localbits+input_l2_bits+call_count+bridge_sweeps+4 + assert required_prefix < payload + + receipt = dict( + status='PASS_INDEPENDENT_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE', + template_sha256=template_hash, + parent_template_sha256=contenthash(local_dir/'GLOBAL-TEMPLATE.json.gz'), + owner_audit_sha256=filehash(audit/'OWNERS-AND-PROFILE.json'), + controller_audit_sha256=filehash(audit/'ASYNC-AUDIT.json'), + independent_local_replay_sha256=filehash(rp), + canonical_word_sha256=filehash(cp), local_programs_sha256=filehash(pp), + local_checks_sha256=filehash(local_dir/'LOCAL-CHECKS.json'), + global_prefix_bits=required_prefix, charged_prefix_bits=payload, + complete_invocation_sweeps=call_count, bridge_sweeps=bridge_sweeps, + row_prefix_extra=2*payload, local=local, helpers=helpers, + centres=centres, live=live, physical=physical, + physical_stock_identity=dict(data_and_owner_families=live, + local_helpers=helpers, private_centres=centres, + coefficient_work=2), + entering_helpers=entering, entrance_rank=sum(h-width for width in widths), + width_inventory=dict(sorted(Counter(widths).items())), + local_adapters=adapters, local_primitive_bound=primitive_bound, + wrapper_elementary_factors_charged=wrapper_factors, + factors_per_wrapper=factors_per_wrapper, compiler=compiler, + unhosted_pervertex=parent_pervertex, hosted_rebased_pervertex=rebased, + conservative_pervertex_used=used, retained_prior_overcharge=retained, + finite=dict(physical_stock_bits=stock.bit_length(), router_bits=router.bit_length(), + literal_bits=literal.bit_length(), physical_row_coefficient=row, + retained_row_coefficient=20161, + required_C0_bits=(32*m*total_mass*total_mass).bit_length(), + halving_integer_inequality=[m*m, 2*maxchild*maxchild], + G_exponent=30000, E_exponent=100000, C0_exponent=210000), + strict_checks=inequalities, + scope='Fresh emitted primitive/Horner, prefix, wrapper and finite recount, using the hash-bound independent local all-column/frame replay and actual whole-owner audit. No old INTEGRATION receipt is used to certify the changed word. The inherited all-size compiler, precision/tape and analytic-transfer contracts remain conditional. Retained payload 512 and physical row allowance 20161 are unchanged.') + prefix = dict( + status='PASS_ASYNC_GLOBAL_PREFIX', template_sha256=template_hash, + global_prefix_bits=required_prefix, retained_payload_bits=payload, + complete_invocation_cover_sweeps=call_count, + bridge_factor_two_sweeps=bridge_sweeps, + local_scalar_coefficient_work_prefix_bits=localbits, + stream_input_sup_to_l2_bits=input_l2_bits, + primitive_arithmetic_margin_bits=4, + controller_audit_sha256=filehash(audit/'ASYNC-AUDIT.json'), + independent_local_replay_sha256=filehash(rp), + proof=f'Each complete normalized invocation has unitary helper endpoints and a data shear with at most two unitary summands. Actual full orthogonal owner charts act by right-translation bijections on the retained cover group. Count all {call_count} complete local sweeps and {bridge_sweeps} individual bridge sweeps. Unit-modulus phases, idle children, terminal translations and normalized spectator endpoints are unitary. The independently recounted scalar/Horner envelope uses {localbits} bits; input sup-to-L2 uses {input_l2_bits}; arithmetic margin is 4. Total {required_prefix} < {payload}. All-size child/compiler and precision/tape interfaces remain inherited.') + out.mkdir(parents=True, exist_ok=True) + (out/'PREFIX-AND-INVOICE.json').write_text(json.dumps(receipt, indent=2)+'\n') + (out/'GLOBAL-PREFIX.json').write_text(json.dumps(prefix, indent=2)+'\n') + print(json.dumps(receipt, indent=2), flush=True) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--base', type=Path, required=True) + parser.add_argument('--hosted', type=Path, required=True) + parser.add_argument('--audit', type=Path, required=True) + parser.add_argument('--out', type=Path, required=True) + parser.add_argument('--retained-invoice', type=Path) + args = parser.parse_args() + run(args.base, args.hosted, args.audit, args.out, args.retained_invoice) diff --git a/research/kernel92-frame-composition/vendor/pr531/code/phases_delta.py b/research/kernel92-frame-composition/vendor/pr531/code/phases_delta.py new file mode 100644 index 0000000000..8d78d26b3b --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/code/phases_delta.py @@ -0,0 +1,158 @@ +"""Reuse the pinned PR523 phase certificates and lower only changed edges. + +The inherited Gaussian-dyadic compiler still checks every fresh tableau and +global phase. Its zero-state interpreter is accelerated with cached exact +integer permutations and Z4 phases. Overflow is checked before every sum; +there is no floating-point arithmetic in a phase equality. + +Prepared for icekylinx with GPT-6 Astra assistance. Apache-2.0. +Compiler and certificate format: PR425/433, icekylinx with Codex assistance. +""" +import argparse +import copy +import gzip +import hashlib +import json +import sys +import time +from collections import Counter +from functools import lru_cache +from pathlib import Path + +import numpy as np + + +def sha(path): + return hashlib.sha256(path.read_bytes()).hexdigest() + + +def frozen(x): + return tuple(map(frozen, x)) if isinstance(x, (list, tuple)) else x + + +def main(): + p = argparse.ArgumentParser() + p.add_argument('--local', type=Path, required=True) + p.add_argument('--baseline', type=Path, required=True) + p.add_argument('--compiler', type=Path, required=True) + a = p.parse_args() + sys.path.insert(0, str(a.compiler.resolve())) + import clifford_exact as ce + started = time.monotonic() + assert sha(a.compiler/'clifford_exact.py') == '2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962', 'baseline canonical-frame and phase convention must remain pinned' + c = json.load(gzip.open(a.local/'CANONICAL-WORD.json.gz')) + b = json.load(gzip.open(a.baseline/'CANONICAL-WORD.json.gz')) + old = json.loads((a.baseline/'CLIFFORD-RECIPES.json').read_text()) + prior = json.loads((a.baseline/'CLIFFORD-REVIEW.json').read_text()) + assert prior['all_child_equalities_include_global_phase'] + assert prior['recipe_sha256'] == sha(a.baseline/'CLIFFORD-RECIPES.json') + assert prior['canonical_word_sha256'] == sha(a.baseline/'CANONICAL-WORD.json.gz') + assert c['h'] == b['h'] == 9 and c['ports'] == b['ports'] + n = c['h']; N = 1 << n + xs = np.arange(N, dtype=np.int64) + parity = np.array([x.bit_count() & 1 for x in range(N)], dtype=np.int64) + + @lru_cache(None) + def action(e): + if e[0] == 'P': + return sum(parity[xs & row] << i for i, row in enumerate(e[1])) + if e[0] == 'D': + Q, alpha = e[1:] + phase = np.zeros(N, dtype=np.int64) + for i in range(n): + phase += ((xs >> i) & 1) * alpha[i] + for j in range(i+1, n): + if (Q[i] >> j) & 1: + phase += 2*((xs >> i) & (xs >> j) & 1) + return phase % 4 + if e[0] in ('C', 'X'): + return xs ^ e[1] + return e[1] + + @lru_cache(maxsize=4096) + def state(circuit, basis): + re = np.zeros(N, dtype=np.int64); im = np.zeros(N, dtype=np.int64) + re[basis] = 1; den = 0 + for e in circuit: + z = action(e) + if e[0] == 'P': + rr = np.empty_like(re); ii = np.empty_like(im) + rr[z] = re; ii[z] = im; re, im = rr, ii + elif e[0] == 'X': + re, im = re[z], im[z] + elif e[0] in ('D', 'phase'): + sign = 1 - 2*(z//2) + odd = z % 2 + re, im = sign*np.where(odd, -im, re), sign*np.where(odd, re, im) + elif e[0] == 'C': + assert max(int(np.max(np.abs(re))), int(np.max(np.abs(im)))) < 2**60 + s = e[2]; rr, ii = re[z], im[z] + re, im = re-s*im+rr+s*ii, im+s*re+ii-s*rr + den += 1 + else: + raise AssertionError(e) + while den and not bool(np.any((re & 1) | (im & 1))): + re //= 2; im //= 2; den -= 1 + return tuple(zip(map(int, re), map(int, im))), den + + original = ce.Op.zero_state + # Check the independent vectorized interpreter against the inherited + # literal one on one nontrivial changed edge and its adjoint, once. + probe = ce.canonical_frame(n, c['frames'][c['center_frames'][0]]) + probes = (probe, probe.adjoint().then(ce.fourier(n))) + for op in probes: + expected, den = original(op) + got, d = state(frozen(op.circuit), 0) + assert tuple(expected) == got and den == d + ce.Op.zero_state = lambda self, basis=0: state(frozen(self.circuit), basis) + + @lru_cache(None) + def frame(U): + op = ce.canonical_frame(n, U) + L = [u | (u << n) for u in U] + [v << n for v in ce.nullspace(U, n)] + pre = [x | (z << n) for x, z, _ in ce.inverse(op.tab)[n:]] + assert ce.rank(L) == ce.rank(L+pre) == n + assert ce.rank([x for x, _, _ in op.tab[n:]]) == len(U) + return op + + key = lambda frames, x, y: (tuple(frames[x]), tuple(frames[y])) + known = {key(b['frames'], r['old'], r['new']): r for r in old['children']} + edges = set(map(tuple, c['edges'])) | {(x,y) for f in c['center_frames'] for x,y in ((f,0),(0,f))} + recipes = []; hist = Counter(); fresh = []; reused = [] + for i, (x, y) in enumerate(sorted(edges)): + U, V = key(c['frames'], x, y) + if (U,V) in known: + rec = copy.deepcopy(known[U,V]); rec.update(old=x, new=y); reused.append([x,y]) + else: + rec, _ = ce.lower_child(frame(U).adjoint().then(frame(V))) + rec = dict(old=x, new=y, **rec); fresh.append([x,y]) + assert rec['rank'] == abs(len(U)-len(V)) + hist[rec['rank']] += 1; recipes.append(rec) + if i and i % 600 == 0: + print('delta phases', i, '/', len(edges), 'fresh', len(fresh), 'seconds', round(time.monotonic()-started, 2), flush=True) + adapters = [] + for r in old['endpoint_adapters']: + rec = copy.deepcopy(r); port = r['port'] + f = c['start'][port] if r['role'] == 'source' else c['final'][c['v']+port] + assert tuple(c['frames'][f]) == tuple(b['frames'][r['frame']]) and rec['rank'] == 0 + rec['frame'] = f; adapters.append(rec) + assert len(adapters) == 2*c['v'] + assert {(r['role'], r['port']) for r in adapters} == {(role, port) for role in ('source', 'target') for port in range(c['v'])} + payload = json.dumps(dict(children=recipes, endpoint_adapters=adapters), sort_keys=True, separators=(',',':')).encode() + (a.local/'CLIFFORD-RECIPES.json').write_bytes(payload) + report = dict(status='PASS_REUSED_AND_FRESH_EXACT_LOCAL_PHASE_RECIPES', + canonical_word_sha256=sha(a.local/'CANONICAL-WORD.json.gz'), frames=len(c['frames']), + directed_edges=len(edges), reused_edges=len(reused), fresh_edges=len(fresh), + ranks=dict(hist), endpoint_adapters=len(adapters), reused_endpoint_adapters=len(adapters), + all_child_equalities_include_global_phase=True, recipe_sha256=hashlib.sha256(payload).hexdigest(), + baseline_recipe_sha256=prior['recipe_sha256'], baseline_review_sha256=sha(a.baseline/'CLIFFORD-REVIEW.json'), + compiler_sha256=sha(a.compiler/'clifford_exact.py'), seconds=time.monotonic()-started, + vector_arithmetic='Exact checked int64 Gaussian dyadics; cached permutations and Z4 phase actions. No floating-point equality.', + fresh_edge_ids=fresh, + scope='Only previously unseen ordered pairs of actual canonical subspaces were freshly lowered. Identical baseline pairs and all endpoint adapters reuse the pinned phase certificates; no full cold replay was performed.') + (a.local/'CLIFFORD-REVIEW.json').write_text(json.dumps(report,indent=2)+'\n') + print(json.dumps({k:report[k] for k in ('status','directed_edges','reused_edges','fresh_edges','seconds')},sort_keys=True),flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/kernel92-frame-composition/vendor/pr531/code/prepare_supplier_base.py b/research/kernel92-frame-composition/vendor/pr531/code/prepare_supplier_base.py new file mode 100644 index 0000000000..650fc9fd77 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/code/prepare_supplier_base.py @@ -0,0 +1,95 @@ +"""Bind the new supplier to the unchanged verified 112-port data controller. + +The parent uses one dedicated bank per helper and stage. Each of its eight +complete invocations uses a disjoint width-w block; the residual bank frame is +listed literally. The final whole-owner derivative removes every such bank. +All inherited data routes and exact data phase recipes remain byte-identical. +""" +import argparse +import copy +import gzip +import hashlib +import json +import shutil +from collections import Counter +from pathlib import Path + +ap=argparse.ArgumentParser(description=__doc__) +ap.add_argument('--data-base',type=Path,required=True) +ap.add_argument('--local',type=Path,required=True) +ap.add_argument('--out',type=Path,required=True) +a=ap.parse_args() +def read(p):return json.loads(gzip.decompress(p.read_bytes())if p.suffix=='.gz'else p.read_bytes()) +def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest() +def dump(p,obj): + b=json.dumps(obj,sort_keys=True,separators=(',',':')).encode();p.parent.mkdir(parents=True,exist_ok=True) + p.write_bytes(gzip.compress(b,mtime=0)if p.suffix=='.gz'else b+b'\n') + return hashlib.sha256(b).hexdigest() +assert not a.out.exists(),'Output must be new' +old=read(a.data_base/'split-centres/GLOBAL-TEMPLATE.json.gz') +oldcan=read(a.data_base/'split-centres/CANONICAL-WORD.json.gz') +can=read(a.local/'CANONICAL-WORD.json.gz');checks=read(a.local/'LOCAL-CHECKS.json');programs=read(a.local/'LOCAL-PROGRAMS.json.gz') +V,H,R=can['v'],can['h'],can['R'];C=len(can['centers']);M,T,L,K=73,8,9,4 +assert(V,H,C)==(112,9,8)and can['ports']==oldcan['ports'] +widths=[H-len(can['frames'][f])for f in can['start'][2*V:]];assert len(widths)==R +local_H={int(r):n for r,n in checks['forward']['paid_profile'].items()} +assert all({int(r):n for r,n in z['paid_profile'].items()}==local_H for z in checks.values()) +assert sum(r*n for r,n in local_H.items())==2*V*(H-1)+64+sum(widths) +D=a.out/'split-centres';D.mkdir(parents=True) +required=('CANONICAL-WORD.json.gz','FULL-WORD.json.gz','LOCAL-PROGRAMS.json.gz','LOCAL-CHECKS.json','RESIDUAL-ADAPTERS.json','CLIFFORD-RECIPES.json','CLIFFORD-REVIEW.json','INDEPENDENT-LOCAL-REPLAY.json') +for name in required:assert(a.local/name).is_file() +for p in a.local.iterdir(): + if p.is_file():shutil.copyfile(p,D/p.name) +shutil.copyfile(a.local/'INDEPENDENT-LOCAL-REPLAY.json',D/'INDEPENDENT-REPLAY.json') +for rel in('work/complex-nine-native/DATA-PHASES.json',*[f'work/pr361/code/engines/{n}'for n in('moment.py','base_two_moment.py','outer.py')]): + dst=a.out/rel;dst.parent.mkdir(parents=True,exist_ok=True);shutil.copyfile(a.data_base/rel,dst) +DATA=2*K*T*V;W=DATA+L*R;P=W+R+C+2 +t=copy.deepcopy(old);t.update(version='round20-new-supplier-dedicated-bank-parent-v1',live=W,physical=P,local_programs=programs) +t['private_namespace']={'centers':[W,W+C],'reserved_tableau':[W+C,W+C+R],'coefficient':[P-2,P]} +for c in t['calls']: + s,rep=c['stage'],c['replica'];owners=copy.deepcopy(c['owners'][:2*V]) + for helper,w in enumerate(widths): + family=DATA+s*R+helper + route=[2,rep]if w==9 else[2,rep*w,w,list(range(T*w,T*w+9-w))] + owners.append([family,route]) + assert len(owners)==len({f for f,_ in owners})==2*V+R + c['owners']=owners;c['local_program_sha256']=checks[c['orientation']]['sha256'] +bank_children=[];pad=Counter() +for s in range(L): + for helper,w in enumerate(widths): + f=DATA+s*R+helper;axes=list(range(T*w,M));rank=len(axes) + assert 02*max(paid)**2 +assert t['recipe']==old['recipe'] and t['idle_children']==old['idle_children'] +assert t['execution_schedule'][:30]==old['execution_schedule'][:30] +assert all(c['owners'][:2*V]==oc['owners'][:2*V]for c,oc in zip(t['calls'],old['calls'])) +th=dump(D/'GLOBAL-TEMPLATE.json.gz',t) +report=dict(status='BOUND_NEW_LOCAL_SUPPLIER_TO_UNCHANGED_DATA_CONTROLLER',R=R,v=V,m=M, + live=W,physical=P,rank_mass=mass,deficit=2560,global_profile=dict(sorted(paid.items())), + bank_remainder_profile=dict(sorted(pad.items())),bank_assignments=L*T*R, + global_template_sha256=th,local_program_checks=checks, + canonical_word_sha256=sha(D/'CANONICAL-WORD.json.gz'),exact_phase_receipt_sha256=sha(D/'CLIFFORD-REVIEW.json'), + scope='The new local programs and phase/normalization artifacts are hash-bound to the unchanged data controller. Every dedicated bank and complement frame is explicit. The final whole-owner placement and independent scalar/finite recount are supplied separately; this file does not assert an old finite invoice.') +dump(D/'INTEGRATION.json',report) +print(json.dumps({k:report[k]for k in('status','R','live','physical','global_profile','bank_remainder_profile')},indent=2),flush=True) diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/BEFORE-COALESCING.json.gz b/research/kernel92-frame-composition/vendor/pr531/evidence/BEFORE-COALESCING.json.gz new file mode 100644 index 0000000000..8e05f2ea80 Binary files /dev/null and b/research/kernel92-frame-composition/vendor/pr531/evidence/BEFORE-COALESCING.json.gz differ diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/COALESCING.json b/research/kernel92-frame-composition/vendor/pr531/evidence/COALESCING.json new file mode 100644 index 0000000000..005eb7c7b7 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/evidence/COALESCING.json @@ -0,0 +1,6710 @@ +{ + 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source-frontier and cross-face delivery lemmas. No full scalar response, entrance kernel, phase recipe, or global hosting audit." +} diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/VERIFICATION-SCOPE.json b/research/kernel92-frame-composition/vendor/pr531/evidence/VERIFICATION-SCOPE.json new file mode 100644 index 0000000000..5fc6f9fdc7 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/evidence/VERIFICATION-SCOPE.json @@ -0,0 +1,28 @@ +{ + "status": "COMPLETED_TARGETED_VERIFICATION", + "exact_scalar_orientations": 2, + "all_columns_each_orientation": 728, + "scalar_seconds": 1.3305917809993844, + "local_frames": 983, + "phase_edges": 2922, + "fresh_phase_edges": 1680, + "reused_phase_edges": 1242, + "reused_endpoint_adapters": 224, + "delta_phase_seconds": 27.276479614999516, + "normalized_residual_entrance_frames": 7, + "actual_owner_roles": 36288, + "global_owner_audit_passes": 1, + "global_mutation_controls_rerun": false, + "exact_moment_engines": 2, + "bootstrap_levels": 6, + "strict_outer_inequalities": 47, + "predecessor_cold_replay_rerun": false, + "unchanged_bit_operator_rebuilt": false, + "scope": "Fresh changed scalar/frame/phase/wrapper/ownership/invoice checks; completed unchanged dependencies reused. No new full cold pipeline is claimed.", + "portable_fast_replay": { + "status": "PASS_FAST_OFFLINE_FINITE_REPLAY", + "elapsed_seconds": 19.77574103799998, + "source_factory_rebuilt": false, + "phase_replay_repeated": false + } +} diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/audit/ASYNC-AUDIT.json b/research/kernel92-frame-composition/vendor/pr531/evidence/audit/ASYNC-AUDIT.json new file mode 100644 index 0000000000..539f7cc1bd --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/evidence/audit/ASYNC-AUDIT.json @@ -0,0 +1,37 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_WHOLE_OWNER_CONTROLLER_PHASES_AND_SPECTATORS", + "template_sha256": "ed47b5454779f7ad6b32ae492a13f8b5172b11c94c3877cbc5cc5d7a4c357738", + "complex_template_sha256": "ed47b5454779f7ad6b32ae492a13f8b5172b11c94c3877cbc5cc5d7a4c357738", + "complex_live": 7168, + "complex_profile": { + "1": 146016, + "2": 54144, + "3": 13991, + "4": 28224, + "5": 7615, + "6": 4032, + "7": 1376, + "32": 1, + "48": 825 + }, + "complex_hosted_residuals": 36288, + "physical": 7682, + "rank_mass": 520704, + "deficit": 2560, + "entering_helper_roles": 10944, + "cross_replica_helper_roles": 27407, + "one_owner_per_complete_invocation": true, + "helper_busy_family_window_checks": 36288, + "complete_invocations": 72, + "actual_orthogonal_73column_maps": 2352, + "actual_sigma_stream_sha256": "af06cdbfadcab44d1004a2325381ab925f816b1cb8e3a7fb137428830a73fe80", + "all_actual_residual_and_spectator_charts": true, + "idle_remainders": 7968, + "mutations_rejected": [], + "mutation_controls_run": false, + "widths": { + "8": 152, + "9": 352 + }, + "scope": "Independent exact asynchronous chronology, per-replica phase projection, owner/chart/paid-profile audit. 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"91613600482376136272765189576127638633316027301187811479228629995588890373397578970855966475858732476625554516399791152858602834416200973483384580052483442146354751336424348528940978773007565734840401096001874113159660924304050310782276922851397565334277730778147043695892068041071398696823274917014444102839/51277827485585023817488205534765911284062549422283219223433240210438062254498227941025482475699160374957700038394623710119281326474472728487289855696807346853450500589832361446811150906986500014414740409411192406438567521387981611865152076829573396714849752179470850893684507223979397691566409065039479749512000000000000000000", + "dimension_above_kappa": "6390271564301872022266890422913544120736083230711269790048825721066893953457444635108520709938837136065806468365812976671998211840580798517027893066087839711355663928093999882028114125395861711922204028371210728775459515723786444012416223455996826943821397534452923628743680322075187795754527797378667957344634506268047383941/6409728435698127977186025691845738910507818677785402402929155026304757781812278492628185309462395046869712504799327963764910165809309091060911231962100918356681312573729045180851393863373312501801842551176399050804820940173497701483144009603696674589356219022433856361710563402997424711445801133129934968689000000000000000000" + }, + "outer_controls": [ + "next_grid", + "zero_eta", + "zero_beta", + "unit_beta" + ], + "bootstrap": [ + { + "gap": "90085811799150019004410582869232947420733224179192246844610959548424786640161/40000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "cutoff_log2": "7097570097425" + }, + { + "gap": "27387313356302799747666299137568733903709809878688072491275182031845669243330314545464043582423671734451481004207409/8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "cutoff_log2": "3071734057963094733" + }, + { + "gap": "8326116154102290793599286963905105749963501347701642176092446009017064428474956278308368491824986802363390869805313673561158051015286850104115270898105921/1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "cutoff_log2": "1329405697067353589697069" + }, + { + "gap": "2531252675635273404746793961741440744484193517630301065895207272185247355863816735170415993084643602998674379016728456427708207501412641383454813580818815269532494553239168708938911573893152849/320000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "cutoff_log2": "575349126599542919894057132845" + }, + { + "gap": "769535277832254736206845260307877636625929131114403242362380720276688151887990930845361541322135713675237989007462171052067470421647590675749140006860004874864378644117079949553059264726289272147113542643139630514542463160290493281/64000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "cutoff_log2": "249003459372181093823622006530189989" + }, + { + "gap": "233949202119754315498048391461215734466554730312915905308552475369461191692314856999497373785973786469174415953329390816526367982456944919690110817455799477677433908164973951751182713977149801892723547607304200819159076007215052459605713969562392195790301133129934968689/12800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "cutoff_log2": "107765389591820574473400445708536466810850" + } + ], + "complex_template_sha256": "ed47b5454779f7ad6b32ae492a13f8b5172b11c94c3877cbc5cc5d7a4c357738", + "owner_audit_sha256": "e5f11e7b920f9985f085546c641dbac5b8d98231d562e1e030ab2566ccea4bd6", + "invoice_sha256": "ce1bfa49be88ae67a404f606a11db2232b7e1f2610d4418058e39749d86d8478", + "bit_scope": "PR493 published profile and operator reused as a pinned dependency; this verifier reprices its published profile but does not reconstruct that unchanged bit operator.", + "scope": "Conditional finite witness. Inherited compiler, precision/tape and analytic-transfer contracts remain assumed; changed-host operator admission recorded separately." +} diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/audit/GLOBAL-PREFIX.json b/research/kernel92-frame-composition/vendor/pr531/evidence/audit/GLOBAL-PREFIX.json new file mode 100644 index 0000000000..f6df6e93f4 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/evidence/audit/GLOBAL-PREFIX.json @@ -0,0 +1,14 @@ +{ + "status": "PASS_ASYNC_GLOBAL_PREFIX", + "template_sha256": "ed47b5454779f7ad6b32ae492a13f8b5172b11c94c3877cbc5cc5d7a4c357738", + "global_prefix_bits": 225, + "retained_payload_bits": 512, + "complete_invocation_cover_sweeps": 72, + "bridge_factor_two_sweeps": 72, + "local_scalar_coefficient_work_prefix_bits": 40, + "stream_input_sup_to_l2_bits": 37, + "primitive_arithmetic_margin_bits": 4, + "controller_audit_sha256": "01ea0015d4e08170ac65f1cdd051be64e07f622eba62eadbf39524317388cba7", + "independent_local_replay_sha256": "4149f3d2ec3041965c5d72869748090d9aeed422f36d753550c543bb7808b30b", + "proof": "Each complete normalized invocation has unitary helper endpoints and a data shear with at most two unitary summands. Actual full orthogonal owner charts act by right-translation bijections on the retained cover group. Count all 72 complete local sweeps and 72 individual bridge sweeps. Unit-modulus phases, idle children, terminal translations and normalized spectator endpoints are unitary. The independently recounted scalar/Horner envelope uses 40 bits; input sup-to-L2 uses 37; arithmetic margin is 4. Total 225 < 512. All-size child/compiler and precision/tape interfaces remain inherited." +} diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/audit/IDLE-REMAINDER-FRAMES.json b/research/kernel92-frame-composition/vendor/pr531/evidence/audit/IDLE-REMAINDER-FRAMES.json new file mode 100644 index 0000000000..2f074d2793 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/evidence/audit/IDLE-REMAINDER-FRAMES.json @@ -0,0 +1,15 @@ +{ + "status": "PASS_LITERAL_IDLE_REMAINDER_FRAMES", + "template_sha256": "ed47b5454779f7ad6b32ae492a13f8b5172b11c94c3877cbc5cc5d7a4c357738", + "uncompressed_frames_sha256": "7a017acb06d14dcad8de83e20f50861895ca66cc74d18686b6559bd3595ca1d1", + "children": 7968, + "rank_profile": { + "3": 2759, + "5": 3583, + "7": 800, + "32": 1, + "48": 825 + }, + "source_data_phase_sha256": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + "scope": "Actual orthogonal axes after the independently checked whole-owner prefix in each inherited pending child." +} diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/audit/OWNERS-AND-PROFILE.json b/research/kernel92-frame-composition/vendor/pr531/evidence/audit/OWNERS-AND-PROFILE.json new file mode 100644 index 0000000000..3506e0a20c --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/evidence/audit/OWNERS-AND-PROFILE.json @@ -0,0 +1,39 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE", + "template_sha256": "ed47b5454779f7ad6b32ae492a13f8b5172b11c94c3877cbc5cc5d7a4c357738", + "paid_profile": { + "1": 146016, + "2": 54144, + "3": 13991, + "4": 28224, + "5": 7615, + "6": 4032, + "7": 1376, + "32": 1, + "48": 825 + }, + "live": 7168, + "physical": 7682, + "rank_mass": 520704, + "deficit": 2560, + "hosted_residuals": 36288, + "banked_residuals": 0, + "all_live_owners_per_call_distinct": true, + "owners_per_call": 728, + "actual_helper_owner_charts": 36288, + "actual_73column_sigmas": 2352, + "cross_replica_helper_roles": 27407, + "explicit_idle_remainder_children": 7968, + "source_idle_children_charged": 16128, + "source_artifacts": { + "split-centres/CANONICAL-WORD.json.gz": "de2be0f4b6d24ace368fd5b834b7a00f9625d0a1824c4ff969f2db5f115db667", + "split-centres/LOCAL-PROGRAMS.json.gz": "755a5c4ebe958fd9f7b5d4a6e7a506d2c802e31c4d9da46b63db1994c4d8ffa6", + "split-centres/LOCAL-CHECKS.json": "c6807681d40cb46c21a50edc1058044ddc758f2dd3e6b0bab16d7cb28d41732f", + "split-centres/RESIDUAL-ADAPTERS.json": "83a91fb9cbbe600328cd399f67fdb6ffb698ed3b20d050916d21f3af48b0db20", + "split-centres/CLIFFORD-RECIPES.json": "1ac0a7d07a487bf58e59e82a8a656a3a3edca5731af9029ad7874b535407ceb9", + "split-centres/CLIFFORD-REVIEW.json": "65e1db65f5d544f2538fc346cbb8e1d106198f54b8ad32cc1d84dfbb48d04a69", + "split-centres/INDEPENDENT-LOCAL-REPLAY.json": "4149f3d2ec3041965c5d72869748090d9aeed422f36d753550c543bb7808b30b", + "work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa" + }, + "controller_audit_sha256": "01ea0015d4e08170ac65f1cdd051be64e07f622eba62eadbf39524317388cba7" +} diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/audit/PREFIX-AND-INVOICE.json b/research/kernel92-frame-composition/vendor/pr531/evidence/audit/PREFIX-AND-INVOICE.json new file mode 100644 index 0000000000..a16bf40bcc --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/evidence/audit/PREFIX-AND-INVOICE.json @@ -0,0 +1,105 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE", + "template_sha256": "ed47b5454779f7ad6b32ae492a13f8b5172b11c94c3877cbc5cc5d7a4c357738", + "parent_template_sha256": "9bebafae2c7e21a8a134cc9f2d4709c075b1641abafc33825d116b2508253ceb", + "owner_audit_sha256": "e5f11e7b920f9985f085546c641dbac5b8d98231d562e1e030ab2566ccea4bd6", + "controller_audit_sha256": "01ea0015d4e08170ac65f1cdd051be64e07f622eba62eadbf39524317388cba7", + "independent_local_replay_sha256": "4149f3d2ec3041965c5d72869748090d9aeed422f36d753550c543bb7808b30b", + "canonical_word_sha256": "de2be0f4b6d24ace368fd5b834b7a00f9625d0a1824c4ff969f2db5f115db667", + "local_programs_sha256": "755a5c4ebe958fd9f7b5d4a6e7a506d2c802e31c4d9da46b63db1994c4d8ffa6", + "local_checks_sha256": "c6807681d40cb46c21a50edc1058044ddc758f2dd3e6b0bab16d7cb28d41732f", + "global_prefix_bits": 225, + "charged_prefix_bits": 512, + "complete_invocation_sweeps": 72, + "bridge_sweeps": 72, + "row_prefix_extra": 1024, + "local": { + "backward": { + "events": 22937, + "macros": 17872, + "real_component_primitives": 177740, + "prefix_l1": "1014379823310", + "prefix_bits": 40, + "coefficient_work_primitive_count": 88098, + "all_exact_columns": 728, + "dirty_helper_columns": 504, + "all_dirty_helper_columns_restored": true, + "private_centres_and_coefficient_work_cleared": true, + "pre_wrappers": 152, + "post_wrappers": 152, + "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json" + }, + "forward": { + "events": 22937, + "macros": 17872, + "real_component_primitives": 177692, + "prefix_l1": "86491024246", + "prefix_bits": 37, + "coefficient_work_primitive_count": 88066, + "all_exact_columns": 728, + "dirty_helper_columns": 504, + "all_dirty_helper_columns_restored": true, + "private_centres_and_coefficient_work_cleared": true, + "pre_wrappers": 152, + "post_wrappers": 152, + "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json" + } + }, + "helpers": 504, + "centres": 8, + "live": 7168, + "physical": 7682, + "physical_stock_identity": { + "data_and_owner_families": 7168, + "local_helpers": 504, + "private_centres": 8, + "coefficient_work": 2 + }, + "entering_helpers": 152, + "entrance_rank": 152, + "width_inventory": { + "8": 152, + "9": 352 + }, + "local_adapters": 357568, + "local_primitive_bound": 9273288832588, + "wrapper_elementary_factors_charged": 3151872, + "factors_per_wrapper": 144, + "compiler": 25934336, + "unhosted_pervertex": 1361655146111768, + "hosted_rebased_pervertex": 1361655145812392, + "conservative_pervertex_used": 2877946989724568, + "retained_prior_overcharge": { + "sha256": "bb43ef04791037a37d2596c395e81191991fde6581326118995cf4318ee472a3", + "previous_pervertex_allowance": 1516291843612800, + "added_complete_new_pervertex": 1361655146111768, + "policy": "Retain old allowance and add the entire fresh recount." + }, + "finite": { + "physical_stock_bits": 2641, + "router_bits": 7985, + "literal_bits": 35282, + "physical_row_coefficient": 16467, + "retained_row_coefficient": 20161, + "required_C0_bits": 200012, + "halving_integer_inequality": [ + 5329, + 4608 + ], + "G_exponent": 30000, + "E_exponent": 100000, + "C0_exponent": 210000 + }, + "strict_checks": { + "local_primitive_bound": true, + "logical": true, + "router": true, + "literal": true, + "mass": true, + "precision": true, + "tape": true, + "row": true, + "halving": true + }, + "scope": "Fresh emitted primitive/Horner, prefix, wrapper and finite recount, using the hash-bound independent local all-column/frame replay and actual whole-owner audit. No old INTEGRATION receipt is used to certify the changed word. The inherited all-size compiler, precision/tape and analytic-transfer contracts remain conditional. Retained payload 512 and physical row allowance 20161 are unchanged." +} diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/hosted/ACTUAL-SIGMAS.json.gz b/research/kernel92-frame-composition/vendor/pr531/evidence/hosted/ACTUAL-SIGMAS.json.gz new file mode 100644 index 0000000000..668c76d6f0 Binary files /dev/null and b/research/kernel92-frame-composition/vendor/pr531/evidence/hosted/ACTUAL-SIGMAS.json.gz differ diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/hosted/GLOBAL-TEMPLATE.json.gz b/research/kernel92-frame-composition/vendor/pr531/evidence/hosted/GLOBAL-TEMPLATE.json.gz new file mode 100644 index 0000000000..d776359cd0 Binary files /dev/null and b/research/kernel92-frame-composition/vendor/pr531/evidence/hosted/GLOBAL-TEMPLATE.json.gz differ diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/hosted/HOSTED.json b/research/kernel92-frame-composition/vendor/pr531/evidence/hosted/HOSTED.json new file mode 100644 index 0000000000..e024e9b49f --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/evidence/hosted/HOSTED.json @@ -0,0 +1,49 @@ +{ + "status": "EMITTED_ASYNCHRONOUS_WHOLE_OWNER_COMPLEX_TEMPLATE", + "template_sha256": "ed47b5454779f7ad6b32ae492a13f8b5172b11c94c3877cbc5cc5d7a4c357738", + "parent_template_sha256": "9bebafae2c7e21a8a134cc9f2d4709c075b1641abafc33825d116b2508253ceb", + "live": 7168, + "physical": 7682, + "global_profile": { + "1": 146016, + "2": 54144, + "3": 13991, + "4": 28224, + "5": 7615, + "6": 4032, + "7": 1376, + "32": 1, + "48": 825 + }, + "rank_mass": 520704, + "deficit": 2560, + "maxchild": 48, + "hosted_residuals": 36288, + "banks_per_stage": [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0 + ], + "entering_helper_roles": 10944, + "unique_actual_73column_sigmas": 2352, + "sigma_stream_sha256": "af06cdbfadcab44d1004a2325381ab925f816b1cb8e3a7fb137428830a73fe80", + "cross_replica_helper_roles": 27407, + "asynchronous_order_sha256": "2acd6b2004be3d3ef6645f3c968feb22b5167c400bb49eb446821e5cb7af6eee", + "source_artifacts": { + "split-centres/CANONICAL-WORD.json.gz": "de2be0f4b6d24ace368fd5b834b7a00f9625d0a1824c4ff969f2db5f115db667", + "split-centres/LOCAL-PROGRAMS.json.gz": "755a5c4ebe958fd9f7b5d4a6e7a506d2c802e31c4d9da46b63db1994c4d8ffa6", + "split-centres/LOCAL-CHECKS.json": "c6807681d40cb46c21a50edc1058044ddc758f2dd3e6b0bab16d7cb28d41732f", + "split-centres/RESIDUAL-ADAPTERS.json": "83a91fb9cbbe600328cd399f67fdb6ffb698ed3b20d050916d21f3af48b0db20", + "split-centres/CLIFFORD-RECIPES.json": "1ac0a7d07a487bf58e59e82a8a656a3a3edca5731af9029ad7874b535407ceb9", + "split-centres/CLIFFORD-REVIEW.json": "65e1db65f5d544f2538fc346cbb8e1d106198f54b8ad32cc1d84dfbb48d04a69", + "split-centres/INDEPENDENT-LOCAL-REPLAY.json": "4149f3d2ec3041965c5d72869748090d9aeed422f36d753550c543bb7808b30b", + "work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa" + }, + "scope": "New emitted complete-invocation placement; independent controller/spectator/normalization and complete finite invoice admission required." +} diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/hosted/IDLE-REMAINDER-FRAMES.json.gz b/research/kernel92-frame-composition/vendor/pr531/evidence/hosted/IDLE-REMAINDER-FRAMES.json.gz new file mode 100644 index 0000000000..e2bbdec99b Binary files /dev/null and b/research/kernel92-frame-composition/vendor/pr531/evidence/hosted/IDLE-REMAINDER-FRAMES.json.gz differ diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/local/CANONICAL-WORD.json.gz b/research/kernel92-frame-composition/vendor/pr531/evidence/local/CANONICAL-WORD.json.gz new file mode 100644 index 0000000000..3b0a475178 Binary files /dev/null and b/research/kernel92-frame-composition/vendor/pr531/evidence/local/CANONICAL-WORD.json.gz differ diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/local/CLIFFORD-RECIPES.json b/research/kernel92-frame-composition/vendor/pr531/evidence/local/CLIFFORD-RECIPES.json new file mode 100644 index 0000000000..1dac4506d5 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/evidence/local/CLIFFORD-RECIPES.json @@ -0,0 +1 @@ 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Identical baseline pairs and all endpoint adapters reuse the pinned phase certificates; no full cold replay was performed.", + "reuse_binding_review": { + "status": "PASS_COMPILER_PIN_AND_ENDPOINT_COVERAGE", + "compiler_pin": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962", + "reused_endpoint_pairs": 224, + "method": "Static independent interpreter review and byte/hash/coverage checks; no repeated phase replay." + } +} diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/local/FULL-WORD.json.gz b/research/kernel92-frame-composition/vendor/pr531/evidence/local/FULL-WORD.json.gz new file mode 100644 index 0000000000..bff313755c Binary files /dev/null and b/research/kernel92-frame-composition/vendor/pr531/evidence/local/FULL-WORD.json.gz differ diff --git a/research/kernel92-frame-composition/vendor/pr531/evidence/local/INDEPENDENT-LOCAL-REPLAY.json b/research/kernel92-frame-composition/vendor/pr531/evidence/local/INDEPENDENT-LOCAL-REPLAY.json new file mode 100644 index 0000000000..0634281e1e --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/evidence/local/INDEPENDENT-LOCAL-REPLAY.json @@ -0,0 +1,60 @@ +{ + "status": "PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY", + "canonical_word_sha256": "de2be0f4b6d24ace368fd5b834b7a00f9625d0a1824c4ff969f2db5f115db667", + "local_programs_sha256": "755a5c4ebe958fd9f7b5d4a6e7a506d2c802e31c4d9da46b63db1994c4d8ffa6", + "v": 112, + "helpers": 504, + "local": { + "forward": { + "all_exact_columns": 728, + "prefix_l1_upper": "86491024246", + "prefix_bits_upper": 37, + "charged_payload_bits": 192, + "private_work_erased": true + }, + "backward": { + "all_exact_columns": 728, + "prefix_l1_upper": "1014379823310", + "prefix_bits_upper": 40, + "charged_payload_bits": 192, + "private_work_erased": true + } + }, + "paid_profiles": { + "forward": { + "1": 2028, + "4": 392, + "7": 8, + "2": 752, + "3": 156, + "6": 56, + "5": 56 + }, + "backward": { + "1": 2028, + "4": 392, + "7": 8, + "2": 752, + "3": 156, + "6": 56, + "5": 56 + } + }, + "entering_helpers": 152, + "negative_controls_rejected": [ + "wrong_scale", + "missing_center", + "wrong_common_frame", + "wrong_child_rank", + "missing_pre_wrapper", + "missing_post_wrapper", + "wrapper_with_wrong_frame", + "wrapper_in_wrong_phase", + "wrapper_on_a_data_register", + "wrapper_on_a_target_register", + "wrapper_on_a_centre_register", + "centre_step_not_nested", + "centre_descent_step_skipped" + ], + "scope": "Literal forward and inverse-transpose replay on every arbitrary data/helper column, physical frame incidence, ordered paid wrappers, cleared private work and prefix coefficients. 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b/research/kernel92-frame-composition/vendor/pr531/inputs/PR493-EXPECTED.json @@ -0,0 +1,91 @@ +{ + "note": "Exact values that verify.sh must reproduce. The bit c is on the 10^-24 grid of PR #472's assembly (largest grid point admitted by both PR #315 moment engines with the inherited 10^-16 bad-branch allowance; the next grid point is rejected); kappa values are on the 10^-18 grid of the six-level, 47-inequality outer assembly.", + "word": { + "R": 489, + "content_sha256": "88435b75b8d6e5c722eb2aa1449f3a5e8e9601a9ffe243839ce1ec932ab76547", + "local_histogram": { + "1": 1200, + "2": 1440, + "4": 180, + "6": 120, + "8": 18 + }, + "source_destination_gates_A": 577, + "sources_rewritten": 117, + "five_stage_payload_bits": 100 + }, + "eleven": { + "bit_lower": "391360506745414227149/250000000000000000000000", + "bit_lower_decimal": "0.001565442026981656908596", + "profile": { + "1": 105600, + "2": 130560, + "4": 19680, + "6": 14400, + "7": 7680, + "8": 1584, + "48": 2, + "56": 2628 + }, + "bit": { + "live": 9600, + "physical": 9609, + "maxchild": 56, + "rank_mass": 745536, + "hosted_residuals": 43032, + "prefix_bits": 2119, + "charged_prefix_bits": 2176, + "coefficient_bits": 2119, + "three_level_coefficient_bits": 6411, + "charged_three_level_coefficient_bits": 6464, + "row_coefficient": 19431, + "halving_depth": 3 + }, + "emitted_program_sha256": "e37b52e4861c39154b5891460fb45df8651c92cd68961078f8f06596f057c822", + "kappa": { + "pr484": { + "kappa": "662515748707749/500000000000000000", + "kappa_decimal": "0.001325031497415498", + "binding_component": "complex", + "complex_lower": "663394767670133/500000000000000000", + "role": "primary" + }, + "pr471": { + "kappa": "260706019542937/200000000000000000", + "kappa_decimal": "0.001303530097714685", + "binding_component": "complex", + "complex_lower": "1305231506267591/1000000000000000000", + "role": "control (complex supplier of the current whole-residual frontier)" + }, + "pr458": { + "kappa": "323880830669511/250000000000000000", + "kappa_decimal": "0.001295523322678044", + "binding_component": "complex", + "complex_lower": "1297203880559577927527/1000000000000000000000000", + "role": "control" + }, + "pr448": { + "kappa": "358867191156973/250000000000000000", + "kappa_decimal": "0.001435468764627892", + "binding_component": "complex", + "complex_lower": "718766148669433/500000000000000000", + "role": "information only" + } + } + }, + "controls": { + "pr472": { + "bit_lower": "323442810173099014031/250000000000000000000000", + "kappa": "646049779721139/500000000000000000", + "published": "research/e8-r715-whole-hosted/EXPECTED.json at 259c684: bit_lower 323442810173099014031/250000000000000000000000, kappa 646049779721139/500000000000000000" + }, + "pr445": { + "bit_lower": "316240894019344628547/250000000000000000000000", + "published": "research/r740-hosted-eleven README at 40ab91d: 1264963576077378514188/10^24" + }, + "pr451": { + "bit_lower": "158442042752174644233/125000000000000000000000", + "published": "PR #451 body at f3a3815: c = 0.001267536342017397153864" + } + } +} diff --git a/research/kernel92-frame-composition/vendor/pr531/inputs/PR523-ANCESTRY.json b/research/kernel92-frame-composition/vendor/pr531/inputs/PR523-ANCESTRY.json new file mode 100644 index 0000000000..385a202fbc --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/inputs/PR523-ANCESTRY.json @@ -0,0 +1,118 @@ +{ + "prepared_at_utc": "2026-10-12T00:00:25Z", + "repository": "https://github.com/CrocSwap/integer-mult-bounds", + "new_contribution": "Exact 112-port direct-sum restriction, new complete physical whole-owner allocation, independent raw geometric/chronological audit and exact global assembly.", + "baseline": { + "pr": 514, + "author": "Dugongue", + "head_repository": "Dugongue/integer-mult-bounds", + "head": "246bfacd4cb4072836ae3147099f548bb728229f", + "source_path": "research/partial-kernel92-async", + "local_path": "vendor/pr514", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/514", + "kappa": "1391523459591829/1000000000000000000", + "manifest_sha256": "4e6ffc149df6515f330d984e99b86e7d1deef01ed2bbac24bba3f19708f36c02" + }, + "pinned_bit_supplier": { + "pr": 493, + "author": "eumemic", + "head": "c3a9a436b84fe44fdc223a5784d84736d1c2d3c7", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/493", + "scope": "Published profile repriced; unchanged operator cited, not freshly rebuilt." + }, + "comparison_only": [ + { + "pr": 518, + "author": "Dugongue", + "head": "e0a071dce251eeca96d446f73147048cfebbd5c7", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/518", + "kappa": "1393662920776407/1000000000000000000", + "created_at": "2026-10-11T23:50:50Z", + "role": "Newer comparable numerical report observed during packaging; no added pair choices, 99-pivot word, or owner transport copied." + }, + { + "pr": 519, + "head": "ffd3c48a80ba8b579dc300e785e387fe8acddfef", + "role": "Automatic-width binary counting formalization; public context only." + }, + { + "pr": 517, + "head": "65518fcff5a7bd490365273ae5469a82aac14853", + "kappa": "0.001389125582984265", + "role": "Smaller asynchronous result and fixed-word packing ceiling; no code adopted." + }, + { + "pr": 516, + "head": "1c6b6ff9366a94e1f86a6c5d661a7df75c6ff814", + "role": "Lemma A Lean realization, updated during work; formal context only, not recompiled or used as a newly discharged interface.", + "first_observed_head": "871b1c51e53918c5e6c945dfe8ef45546c17da56" + }, + { + "pr": 510, + "head": "64edee18af02aab0c1696b677a0287dd0146381b", + "role": "Larger nonbinding bit rate; not adopted." + }, + { + "pr": 520, + "head": "6077fa76950facbce11ec2f04dfbc93493114a44", + "author": "higherbeing", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/520", + "role": "Open asynchronous allocator and delivery map. Viewed only during the final comparison refresh; no code or claimed gain adopted. No larger global kappa stated." + } + ], + "retained_ancestry": [ + { + "pr": 496, + "head": "00cf70efd6a8637531deafef698157ca83e249ee", + "role": "whole-owner parent, invoice and assembly ancestry" + }, + { + "pr": 484, + "head": "035845ce95f31d0a2dcfb42b8c8e13411271fa5f", + "role": "PR496 pinned gauge80-kernel42 parent, not newer moving head" + }, + { + "pr": 493, + "head": "c3a9a436b84fe44fdc223a5784d84736d1c2d3c7", + "role": "unchanged cited R489 bit supplier" + }, + { + "pr": 502, + "head": "4d30b8322184598e65e90a92389e17e1baedd9eb", + "role": "retiming transfer constructor and PR495 schedule fixture" + }, + { + "pr": 501, + "head": "1dc056496fdbbc74073ed26d948a2dc235dbf356", + "role": "parallel retiming integration; credited, no duplicated gain" + }, + { + "pr": 473, + "head": "628b454d3df00367d2d4f78de7d4eb9cbcbd47ca", + "role": "single-helper gauge withdrawal inspiration" + }, + { + "pr": 507, + "head": "8d4444cf8a16d500cbb94add6e4fa8bcfb9c7d5e", + "role": "partial-own factory, 84-pivot reference and retiming map" + }, + { + "pr": 505, + "head": "4ee769c8e28837482272b5f4742497da8e2fc9d4", + "role": "Complete-invocation asynchronous scheduling", + "author": "Dugongue" + }, + { + "pr": 506, + "head": "a4948baee6c7ea35323db74ff636620c6af2925a", + "role": "public asynchronous retiming comparison and portability feedback" + } + ], + "original_additional_credits_file": "vendor/pr514/NOTICE.md", + "excluded_interfaces": { + "494": "Disputed residual splitting is not used.", + "499": "Larger claimed number using the disputed split-residual interface is not a proof ingredient." + }, + "last_public_comparison_utc": "2026-10-12T00:09:14Z", + "public_snapshot": "evidence/PUBLIC-SNAPSHOT.json" +} diff --git a/research/kernel92-frame-composition/vendor/pr531/inputs/PR523-EXACT-ASSEMBLY.json b/research/kernel92-frame-composition/vendor/pr531/inputs/PR523-EXACT-ASSEMBLY.json new file mode 100644 index 0000000000..9fb041e0ca --- /dev/null +++ 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Inherited compiler, precision/tape and analytic-transfer contracts remain assumed; changed-host operator admission recorded separately." +} diff --git a/research/kernel92-frame-composition/vendor/pr531/inputs/PR523-PREFIX-AND-INVOICE.json b/research/kernel92-frame-composition/vendor/pr531/inputs/PR523-PREFIX-AND-INVOICE.json new file mode 100644 index 0000000000..50b017a164 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/inputs/PR523-PREFIX-AND-INVOICE.json @@ -0,0 +1,69 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE", + "template_sha256": "2ae6ac3aff97a861d037ee51d6dcdd7bfe79ecbb0d8f1e186754428abc997a99", + "global_prefix_bits": 206, + "charged_prefix_bits": 512, + "complete_invocation_sweeps": 72, + "bridge_sweeps": 72, + "row_prefix_extra": 1024, + "local": { + "backward": { + "events": 25242, + "macros": 19816, + "real_component_primitives": 222282, + "prefix_l1": "1048913", + "prefix_bits": 21, + "coefficient_work_primitive_count": 110313, + "all_exact_columns": 784, + "all_560_dirty_helper_columns_restored": true, + "private_centres_and_coefficient_work_cleared": true + }, + "forward": { + "events": 25242, + "macros": 19816, + "real_component_primitives": 222234, + "prefix_l1": "57339", + "prefix_bits": 16, + "coefficient_work_primitive_count": 110281, + "all_exact_columns": 784, + "all_560_dirty_helper_columns_restored": true, + "private_centres_and_coefficient_work_cleared": true + } + }, + "entering_helpers": 172, + "entrance_rank": 190, + "local_adapters": 393232, + "local_primitive_bound": 10198211036234, + "wrapper_elementary_factors_charged": 3566592, + "compiler": 25934336, + "unhosted_pervertex": 1516291843612800, + "hosted_rebased_pervertex": 1516291843280160, + "conservative_pervertex_used": 1516291843612800, + "finite": { + "physical_stock_bits": 2641, + "router_bits": 7984, + "literal_bits": 35282, + "physical_row_coefficient": 16467, + "retained_row_coefficient": 20161, + "required_C0_bits": 200012, + "halving_integer_inequality": [ + 5329, + 4608 + ], + "G_exponent": 30000, + "E_exponent": 100000, + "C0_exponent": 210000 + }, + "strict_checks": { + "local_primitive_bound": true, + "logical": true, + "router": true, + "literal": true, + "mass": true, + "precision": true, + "tape": true, + "row": true, + "halving": true + }, + "scope": "Exact finite recount conditional on inherited all-size compiler/precision/tape and analytic-transfer contracts. 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complete recipe is unchanged except its port index; the retained parent polynomial checks establish every selected equality.","scope":"All compressed data boundary operators, idle children, terminal X_q and all-live cover correction. Internal arbitrary-subspace canonical labels are checked separately.","source_parent_sha256":"f621f6d4296cb215f334830356c5f79fe10d6d04d15b3ccda76ba0885ab67d0a","status":"PASS_EXACT_Z4_DATA_ROUTE_IDLE_AND_TERMINAL_PHASES","terminal_omission_controls_rejected":112} diff --git a/research/kernel92-frame-composition/vendor/pr531/inputs/data-base/work/pr361/code/engines/base_two_moment.py b/research/kernel92-frame-composition/vendor/pr531/inputs/data-base/work/pr361/code/engines/base_two_moment.py new file mode 100644 index 0000000000..14a90fa0e7 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/inputs/data-base/work/pr361/code/engines/base_two_moment.py @@ -0,0 +1,63 @@ +#!/usr/bin/env python3 +"""Maintainer arithmetic cross-check of the pinned PR39 certificate. + +Uses no producer/checker imports. Counts are inputs, not proved by this script. +80-term rational logarithms and 12-term exponentials independently enclose +the two moments. The accompanying written review addresses their realization. +""" +import argparse +from fractions import Fraction as Q +from hashlib import sha256 +import json +from pathlib import Path + +ROOT = Path(__file__).resolve().parents[1] +GRID = 10**30 + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +def log_unit(x): + require(1 <= x <= 2, "logarithm range") + z = (x-1)/(x+1) + lo = 2*sum((z**(2*j+1)/(2*j+1) for j in range(80)), Q(0)) + return lo, lo+2*z**161/(161*(1-z*z)) + + +def log_bounds(x): + k = 0 + while x > 2: + x /= 2 + k += 1 + lo, hi = log_unit(x) + l2, u2 = log_unit(Q(2)) + lo, hi = lo+k*l2, hi+k*u2 + # Outward rational rounding keeps later certificates compact. + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + + +def exp_bounds(x): + require(0 <= x < 1, "exponential range") + term = total = Q(1) + for j in range(1, 13): + term *= x/j + total += term + tail = term*x/13/(1-x/14) + return total, total+tail + + +def moment(m, W, entries, saving): + lo = hi = Q(0) + for t, count in entries: + t, count = int(t), int(count) + require(0 < t < m and count > 0, "improper child") + l, u = log_bounds(Q(m, t)) + lower = exp_bounds(saving*l)[0] + upper = exp_bounds(saving*u)[1] + lo += Q(t*count, m*W)*lower + hi += Q(t*count, m*W)*upper + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + diff --git a/research/kernel92-frame-composition/vendor/pr531/inputs/data-base/work/pr361/code/engines/moment.py b/research/kernel92-frame-composition/vendor/pr531/inputs/data-base/work/pr361/code/engines/moment.py new file mode 100644 index 0000000000..7d697cb452 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/inputs/data-base/work/pr361/code/engines/moment.py @@ -0,0 +1,113 @@ +"""Independent prospective ordinary five-stage cost, never supplier admission. + +Consumes a raw one-invocation ledger made from the actual source/internal/target +paths. No packed profile is used as an input. Missing physical/finite/compiler +obligations must remain explicit in the accompanying report. +""" +from collections import Counter +from decimal import Decimal, localcontext, ROUND_FLOOR +from fractions import Fraction as F +from functools import lru_cache +from math import factorial +import hashlib, json, sys +from pathlib import Path + +DYAD = 1 << 224 + +def floor(x): return F(x.numerator*DYAD//x.denominator, DYAD) +def ceil(x): return -floor(-x) + +@lru_cache(None) +def logarithm(x): + """Mercator bounds after binary reduction; ln(2) via two Mercator sums. + + For 1 <= y < 2, log(y) is an alternating series in z=y-1. + We instead reduce to 1 <= y < 3/2, and bound log(3/2) and + log(2) by the same alternating series at z=1/2 and z=1/3, + using log(2)=log(3/2)+log(4/3). All sums are exact rationals. + """ + assert x >= 1 + k = 0 + while x >= 2: x /= 2; k += 1 + j = int(x >= F(3, 2)) + if j: x /= F(3, 2) + def mercator(y): + z=y-1 + assert 0 <= z <= F(1,2) + # An even partial sum is below log; the next term bounds its tail. + t=z; s=F(0) + for n in range(1, 225): + s += (t if n & 1 else -t)/n + t *= z + return s, s+t/225 + a,b=mercator(x); c,d=mercator(F(3,2)); e,f=mercator(F(4,3)) + return floor(a+(k+j)*c+k*e), ceil(b+(k+j)*d+k*f) + +def exponential(l,u): + assert 0 <= l <= u < F(1,10) + def poly(x): + s=t=F(1) + for j in range(1,25): t=t*x/j; s+=t + return s,t + lo,_=poly(l);hi,last=poly(u) + return floor(lo),ceil(hi+last*u/25/(1-u/26)) + +def moment(H,m,W,a,bad=False): + lo=hi=F(0) + for r,n in H.items(): + assert 0 < r < m and n > 0 + l,u=logarithm(F(m,r)); e,f=exponential(a*l,a*u) + p=F(r*n,m*W);lo+=p*e;hi+=p*f + if bad: + # Existing envelope shape, only conditionally portable to the new cover. + l,u=logarithm(F(m));e,f=exponential(a*l,a*u) + p=F(32*m*sum(H.values()),10**16*W) + lo+=p*e;hi+=p*f + return floor(lo),ceil(hi) + +def decimal(x): + with localcontext() as c: + c.prec=70 + return str(Decimal(x.numerator)/Decimal(x.denominator)) + +def certify(H,m,W,bad=False): + with localcontext() as c: + c.prec=70 + terms=[(Decimal(r*n)/Decimal(m*W),(Decimal(m)/Decimal(r)).ln()) for r,n in H.items()] + fallback=Decimal(32*m*sum(H.values()))/Decimal(10**16*W) if bad else Decimal(0) + lm=Decimal(m).ln();lo=Decimal(0);hi=Decimal('.003') + for _ in range(210): + a=(lo+hi)/2 + if sum(p*(a*l).exp() for p,l in terms)+fallback*(a*lm).exp()<1:lo=a + else:hi=a + q=int(((lo+hi)/2*10**24).to_integral_value(rounding=ROUND_FLOOR)) + lo=F(q,10**24);hi=lo+F(1,10**24) + lv=moment(H,m,W,lo,bad);hv=moment(H,m,W,hi,bad) + assert lv[1]<10 for v in slacks.values()),{k:str(v) for k,v in slacks.items() if v<=0} + assert min(margins.values())==minimum + assert margins['balanced_prefix']-minimum==eta and 1-eps-r==eta/2 + assert 1-eps*(1+c)==eta-eps*eta/4 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\ No newline at end of file diff --git a/research/kernel92-frame-composition/vendor/pr531/inputs/phase-baseline/CLIFFORD-REVIEW.json b/research/kernel92-frame-composition/vendor/pr531/inputs/phase-baseline/CLIFFORD-REVIEW.json new file mode 100644 index 0000000000..ad33b2911c --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/inputs/phase-baseline/CLIFFORD-REVIEW.json @@ -0,0 +1,21 @@ +{ + "status": "PASS_NEW_WORD_EXACT_LOCAL_PHASE_RECIPES", + "canonical_word_sha256": "addf598581d2a20e13d0c18110607515ad90b06125616a2349e53a47bb5b6c80", + "frames": 968, + "directed_edges": 2943, + "ranks": { + "1": 1871, + "2": 154, + "3": 530, + "8": 24, + "6": 74, + "7": 2, + "5": 200, + "4": 88 + }, + "endpoint_adapters": 224, + "all_child_equalities_include_global_phase": true, + "recipe_sha256": "1f37afd5a9e14b113ba56e0ac8a5200a6b41c695d2cd308dc0fd6ec46a4c73d2", + "seconds": 253.65679077099958, + "scope": "Every local frame and center transition. Expanded scalar-interface integration and global emitted program are separate obligations." +} diff --git a/research/kernel92-frame-composition/vendor/pr531/inputs/phase-baseline/LOCAL-CHECKS.json b/research/kernel92-frame-composition/vendor/pr531/inputs/phase-baseline/LOCAL-CHECKS.json new file mode 100644 index 0000000000..61b7804deb --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/inputs/phase-baseline/LOCAL-CHECKS.json @@ -0,0 +1,40 @@ +{ + "forward": { + "sha256": "a664a8d52d7b813a5f4c98802288658e02e4b82b2c37f1e7694dad102dd9ddd7", + "events": 25242, + "scalar_macros": 19816, + "real_component_primitive_bound": 222234, + "paid_profile": { + "1": 2531, + "2": 160, + "3": 530, + "4": 88, + "5": 298, + "6": 68, + "7": 1, + "8": 1 + }, + "all_columns": 784, + "private_centers_cleared": true, + "private_coefficient_stream_cleared_after_each_macro": true + }, + "backward": { + "sha256": "823f677aba390e28c9164494f51187284a2dafe307a520627d7b11bec7b7a51d", + "events": 25242, + "scalar_macros": 19816, + "real_component_primitive_bound": 222282, + "paid_profile": { + "1": 2531, + "2": 160, + "3": 530, + "4": 88, + "5": 298, + "6": 68, + "7": 1, + "8": 1 + }, + "all_columns": 784, + "private_centers_cleared": true, + "private_coefficient_stream_cleared_after_each_macro": true + } +} diff --git a/research/kernel92-frame-composition/vendor/pr531/proof/DELIVERY-AND-COALESCING.md b/research/kernel92-frame-composition/vendor/pr531/proof/DELIVERY-AND-COALESCING.md new file mode 100644 index 0000000000..5b0751acab --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/proof/DELIVERY-AND-COALESCING.md @@ -0,0 +1,277 @@ +# Same-partition early centers and two-stage cross-face delivery + +Prepared for **icekylinx**, with GPT-6 Astra assistance. This note explains +the frozen Round20 local construction in +`evidence/local/FULL-WORD.json.gz`. It is intended to accompany the +final scalar, frame, phase, and global owner certificates, rather than replace +those certificates. + +The construction retains the packet programs pinned in PR514 (Dugongue) and +their inherited attributions. PR520 (higherbeing) supplied a useful map of +the delivery problem; no code from that PR is used. The use of an invertible +basis containing coordinate totals on retained source rows is also related +to PR522 (Dugongue). Here the usable rows occur at a different, earlier +frontier, and the improvement additionally requires the new target pairing +and cross-face delivery schedule. Preserve the predecessor's full notices. + +## 1. The choice that changes the source frontier + +There are fourteen Hamming blocks, each with eight source coordinates. +Within a block `(i,j,k,l)`, the targets split into two parity tetrads. The +previous default own-Y experiment selected the coordinate partition +`(ij | kl)` in one tetrad and `(ik | jl)` in the other. The frozen word +selects **the same partition `(ij | kl)` in both tetrads**. + +The first forty source-factory events produce twenty-four pair-partial rows +from the eight sources and sixteen helper registers. The inverse selected +target decoder expresses each own-block target contribution as one of these +pair partials, up to a nonzero dyadic coefficient. Eight pair-partial rows +are needed, one for each target, and each is still at a rank-two frame. + +With the same partition in both tetrads, eight of the twelve face additions +avoid all eight needed pair partials. These are the faces from the other two +coordinate partitions. Execute those eight additions first. They leave +eight retired donor rows as well as the eight finished faces. The retired +donors do not include any of the eight pair partials reserved for the own-Y +loads. + +The eight retired rows already form an invertible basis of the block's eight +clean source coordinates. The independent finite check in +`audit_same_partition_frontier.py` recomputes their exact rational matrices +directly from the packet inputs, without importing either constructor. In +the supplied packet ordering, **all fourteen determinants equal `1/4`**. +Thus the inverse matrices are dyadic. This is a concrete finite fact, not a +rank assumption about an abstract family of packets. + +Raise these eight retired rows to the block's rank-four frame and apply an +invertible change of basis whose first four rows are the four coordinate +totals. Keep the other four basis rows; no information is discarded. Form +the eight global coordinate centers from these block totals at their +rank-eight center frames. Throughout this phase, every target is still at +its required center-scatter level. In the raw word that level is zero; the +entrance-gauged word has the explicitly recorded compatible levels. + +The center scatter can therefore occur before any own-Y load. Afterwards, +in B, read the eight reserved pair partials into their targets at rank two, +then finish the remaining four face additions. This schedule is what makes +direct own-Y loading compatible with the center cut. + +## 2. Selected keys need no assembled M row + +Fix a coordinate pair and a sign. Exactly three Hamming blocks contain that +coordinate pair; call them A, B, and C. Write `f_A`, `f_B`, and `f_C` for +their clean face forms and `F_A`, `F_B`, and `F_C` for their rank-three +binary frames. Each face has two existing copies, one for each of the other +blocks. `A→B`, for example, is the copy of A's face allocated to block B. + +A selected key in block B now serves two selected target coordinates, one +from each parity tetrad. It has no ordinary M consumer. Supply its two +targets in opposite orders: + +| Target in B | First read, before ordinary M assembly | Second read, after ordinary M assembly | +|---|---|---| +| First selected target | A's copy `A→C` | C's copy `C→B` | +| Second selected target | C's copy `C→A` | A's copy `A→B` | + +Both targets receive the required scalar multiple of `f_A+f_C`; the face +normalizations are included in the two coefficients. **Do not assemble +M_B for this key.** Its two designated face-copy registers remain available +for the second reads. + +All first reads occur before every ordinary M addition, and all second +reads occur afterwards. There are fifty-six selected keys and therefore +112 first reads. They use 112 distinct existing face-copy registers. The +remaining 112 keys each have two ordinary consumers; assemble their M rows +normally and make one additional M copy per ordinary key. + +This differs from the default 504-helper experiment. In that experiment a +selected key also had an ordinary consumer, so its M row was assembled and +the second selected read used the M addition's retired donor. The frozen +same-partition word omits all selected-key M additions and reads both +designated copies without changing their scalar face payloads. + +## 3. Why both operands have legal frames + +For a selected target in B, let E_B be its rank-two frame after the own-Y +load. The actual packet geometry gives + +$$ + E_B\subseteq F_B. +$$ + +The first read from A's copy uses F_A + E_B, which has rank four. If that +copy later participates in an ordinary M_C addition, it remains legal +because + +$$ + F_A+E_B\subseteq F_A+F_B, +$$ + +and the latter is precisely the native rank-five M_C frame. If both inputs +to an ordinary M have already supplied first reads, each added target frame +is contained in the opposite input's native face frame. Their join is +therefore still the original rank-five M frame. + +If C is itself selected for this key, M_C is omitted. A's copy instead +remains a face form until its second read by a target in C. Its extra frame +E_B is absorbed by F_B, the face frame already acquired by that target in +its first read. The second read therefore has frame + +$$ + F_A+F_B+E_C, +$$ + +of rank six. In the corresponding B-target notation, the second-read frame +is F_A + F_C + E_B. Every summand is contained in the receiving target's +final hyperplane. + +The independent finite check verifies all 112 own-frame containments, all +112 first-read rank-four joins, and all 112 second-read rank-six joins. It +also checks the 112 ordinary M joins and distinctness of the first-read +copy registers. In this raw schedule, second-read donors have rank three +or four before their reads; none is being silently restored to an earlier +frame. + +The existing two-shear selected target decoder and ordinary target delivery +then finish the source contribution. The inverse target output basis is +explicitly included in the word's frame-zero preconditioner. + +## 4. Register accounting + +No center-copy or selected-M-clone helpers are allocated in the frozen word. +The complete raw helper inventory is: + +| Role | Per block | Fourteen blocks | +|---|---:|---:| +| Source packet factory | 16 | 224 | +| Second face copies | 12 | 168 | +| Additional ordinary M copies | 8 | 112 | +| **Total** | **36** | **504** | + +The default 504-helper experiment had four early-center copies and four +additional ordinary M copies per block instead. Thus the same-partition +change preserves the 504-helper count while changing the dirty-response +and entrance geometry. It must not be described as a 448-helper word. + +Relative to the previous 560-helper layout, the eight separate own-payload +helpers per block disappear, while the number of ordinary M copies rises +from four to eight. The net saving is four helpers per block, or 56 in all. + +## 5. Arbitrary dirt and the entrance selection + +Copies of one face agree on clean source columns. Their helper-dirt +responses can differ. The new delivery word therefore uses a freshly +computed response matrix, not the previous word's compensation matrix. + +All source/helper operations are invertible dyadic elementary operations. +No source/helper operation reads a target register. Every changed delivery +operation adds a source/helper row into a target. Consequently the complete +source/helper subword can be reversed independently of target contents. +Subtracting the new helper response in the prescribed target input basis, +and applying the explicit inverse output basis, handles arbitrary helper +and target inputs. The complete scalar audit binds these matrix statements +to the actual emitted coefficients and register indices. + +The frozen entrance selection contains 72 gauged helpers and 80 kernel +pivots, with disjoint roles. Every one has a one-dimensional entrance +frame. The remaining 352 helpers enter at zero. The residual-width +inventory is therefore + +$$ + 152\times 8\; +\;352\times 9. +$$ + +Each kernel pivot's newly computed response column is an exact dyadic +linear combination of its specified donor columns. The initial donor +updates cancel that pivot's target response. Each gauge instead performs +its compensation at the stated nonzero entrance level. Their first-frame, +target-level, and center-chain compatibility conditions are part of the +literal frame checks. The helper count, width inventory, and center rank +sum remain explicit; no entrance contribution is treated as a free row. + +## 6. Coalescing the actual delivery climbs + +The final frame pass preserves every scalar coefficient, operation order, +A/B cut, center frame, target scatter level, helper entrance, and helper +exit. For an addition at frame F, let N_t and N_s be the next fixed/current +frames of its two registers. Replacing F by + +$$ + G=N_t\cap N_s +$$ + +is legal whenever F is contained in G: both previous frames are contained +in F, and G is contained in both successor frames. The analogous +single-register rule applies to a scaling. Explicit barriers enforce the +center and target frames at the A/B cut. + +For each candidate replacement, the implementation recomputes the two +adjacent child ranks on every incident register chain. It accepts a change +only if the exact profile is unchanged or its local entropy fee decreases. +This is a finite improvement procedure, not a claim of global optimality. + +All 248 accepted promotions in the frozen word occur in B: + +| Promotions | Count | +|---|---:| +| First face-read frame, rank 4 to rank 6 | 80 | +| Second face-read frame, rank 6 to rank 7 | 112 | +| Target scaling frame, rank 7 to rank 8 | 56 | + +The target scalings move a climb without changing the profile. The total +profile change from the other promotions is + +$$ + \Delta H_1=-32,\quad \Delta H_2=-160,\quad + \Delta H_3=-32,\quad \Delta H_4=112. +$$ + +The three nonzero per-move fee differences simplify respectively to +`log(4/27)`, `log(27/64)`, and `log(27/256)`, with multiplicities 80, 80, +and 32. All are strictly negative. Thus the signs of the accepted moves +can be checked algebraically, independently of the floating-point discovery +comparison. + +With the standard local entropy fee +`Phi_m(r)=r log(m/r)`, the reduction is exactly + +$$ +32\Phi_m(1)+160\Phi_m(2)+32\Phi_m(3)-112\Phi_m(4) + =576\log 2-96\log 3 + =96\log(64/3). +$$ + +It is about 293.785996290393 per invocation and is independent of m because +the rank mass is unchanged. The exact nonlinear moment endpoint must still +be computed from the resulting profile and actual global owner assignment; +the entropy saving itself is not used as a substitute for that computation. + +## 7. Frozen local data and verification scope + +The final local profile is + +$$ + H_1=2028,\quad H_2=752,\quad H_3=156,\quad + H_4=392,\quad H_5=56,\quad H_6=56,\quad H_7=8. +$$ + +The word has 112 ports, height nine, 504 helpers, and center rank sum 64. +The rank-mass identity is + +$$ + \sum_r rH_r=6240 + =9\cdot504+8\cdot224+64-152. +$$ + +`SAME-PARTITION-FRONTIER.json` records the fourteen exact retired-basis +matrices and all 112 delivery incidences. Its independent checker uses only +the pinned packet input files and runs in about half a second in the +current environment. `COALESCING.json` records all accepted frame changes +and their profile deltas. The full-word frame pass also checks the center +barriers and equality of all scalar operations before and after promotion. + +These local records intentionally have a limited scope. The final package's +separate evidence supplies the arbitrary-column replay, canonical port +transport, targeted recipes for changed frame edges, actual whole-owner +assignment, and exact global moment evaluation. Unchanged predecessor +certificates can be reused with their input identities bound explicitly. diff --git a/research/kernel92-frame-composition/vendor/pr531/proof/GLOBAL-HOSTING.md b/research/kernel92-frame-composition/vendor/pr531/proof/GLOBAL-HOSTING.md new file mode 100644 index 0000000000..dff4cda44b --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/proof/GLOBAL-HOSTING.md @@ -0,0 +1,119 @@ +# Global hosting proof for the 504-helper increment + +## Result and scope + +The frozen construction has **global kappa = 0.001517760977820331**, represented exactly as `1517760977820331 / 10^18`. The complex moment root is certified in + +$$ +0.001520068077832496458155 +< b < +0.001520068077832496458156. +$$ + +The lower endpoint supplies the admitted complex exponent. The complex side remains binding against the inherited bit exponent `0.001565442026981656908596`. The final `EXACT-ASSEMBLY.json` checks the two moment engines and all 47 outer steps. The result uses the same inherited all-size compiler, exceptional-cover, precision/tape, and analytic-transfer contracts as the preceding 112-port result; the finite hosting argument below does not re-prove those contracts. + +The controller parameters remain `v = 112`, `h = 9`, `L = 9`, `T = 8`, `K = 4`, and `m = 73`. There are 7,168 live data families and 7,682 physical families, including 504 reserved tableau families, eight centers, and two coefficient-work families. The final construction uses **no helper banks**. + +## Supplier and exact global profile + +The selected supplier has 504 helpers: 152 residuals of width eight and 352 of width nine. Its paid profile is + +$$ +H_{\rm local}= +2028H_1+752H_2+156H_3+392H_4+56H_5+56H_6+8H_7. +$$ + +Its rank mass is 6,240. This equals the unchanged data and center costs plus the actual residual mass: + +$$ +6240=2(112)(8)+64+(152\cdot8+352\cdot9). +$$ + +Every entrance reduction is therefore charged through the actual emitted local profile. The new scalar, phase, and residual-wrapper receipts are bound by file hashes; no old 560-helper local checks are used as evidence for the new supplier. + +The following table gives the **actual allocation over all eight replicas**. A row counts pending children, not distinct physical families. Multiple helpers within one pending child occur in different complete invocations. + +| Parent rank | Whole residual widths hosted in the child | Children | Paid remainder rank | +|---:|:---|---:|---:| +| 8 | 8 | 5,376 | 0 | +| 16 | 8 + 8 | 2,784 | 0 | +| 16 | 9 | 800 | 7 | +| 32 | 9 + 9 + 9 | 3,583 | 5 | +| 32 | none | 1 | 32 | +| 48 | 9 + 9 + 9 + 9 + 9 | 2,759 | 3 | +| 48 | none | 825 | 48 | + +Consequently the 7,968 nonzero remainder children are exactly + +$$ +2759H_3+3583H_5+800H_7+H_{32}+825H_{48}. +$$ + +Adding 72 copies of the local profile gives: + +| Rank | Paid children | +|---:|---:| +| 1 | 146,016 | +| 2 | 54,144 | +| 3 | 13,991 | +| 4 | 28,224 | +| 5 | 7,615 | +| 6 | 4,032 | +| 7 | 1,376 | +| 32 | 1 | +| 48 | 825 | + +The arithmetic identities are + +$$ +\begin{aligned} +\text{local rank mass}&=72\cdot6240=449280,\\ +\text{remainder rank mass}&=71424,\\ +\text{total rank mass}&=520704,\\ +73\cdot7168-520704&=2560. +\end{aligned} +$$ + +Thus the saving comes from the new paid-rank distribution. The stock-normalized rank deficit remains 2,560. + +## Executable whole-owner construction + +The discovery program uses the inherited `ASYNC-6` complete-call order and its existing busy windows. Its integer variables couple each pending-child pattern directly to the times and widths assigned to that pattern. This coupling is essential: an aggregate pattern/time nomination can have no physical refinement. + +The successful model restricts discovery to a small collection of pure width-eight and width-nine patterns, with integer repair patterns. It finished in approximately 1.82 seconds in the recorded run. Its integral time assignments are expanded by bipartite edge coloring into **36,288 literal helper roles**. The frozen witness is `inputs/OWNER-PLAN.json` together with `inputs/OWNERS.json.gz`. Replaying the frozen witness requires no optimizer. + +For every complete invocation, the 504 helper owners and 224 active data owners are 728 distinct physical families. Every helper is scheduled once; its owner's actual idle window contains the whole invocation, including the relevant bridge exclusions. Residual footprints are disjoint within each pending child, and their occupied coordinates form a prefix. The remaining suffix is the paid child listed above. Each width-eight helper also has an explicit spectator coordinate and the selected local supplier's paid normalization wrapper. + +The emitted construction contains **2,352 distinct orthogonal 73-column maps**. It has 10,944 entering-helper roles and 27,407 roles borrowing a family from another replica. `ACTUAL-SIGMAS.json.gz` stores the literal maps. `IDLE-REMAINDER-FRAMES.json.gz` stores the actual orthogonal axes of all 7,968 paid remainders. + +A same-owner shrinking experiment was also feasible, but its actual remainder profile was inferior. It is not the witness used for this result. Neither a local-only rate nor a chronology-free fractional LP value is substituted for the final physical assignment. + +## Admission and reproducibility + +`prepare_supplier_base.py` binds the new local artifacts to the unchanged 112-port data routes and exact data phase recipes. The retained `port_restriction` metadata describes the historical Round19 data-port restriction; `supplier_substitution` and the fresh source-artifact hashes identify the new local word. Its conservative parent gives each helper a dedicated bank per stage and lists every bank-complement frame. `emit_supplier_hosted.py` removes all those banks and inserts the frozen whole-owner assignment, actual spectator routes, and remainder children. + +`audit_supplier_hosted.py` then performs one independent pass over the serialized controller and ownership data. It imports neither the emitter nor the allocator. It checks complete-call ordering, every owner busy window, full-family exclusion, all residual and spectator maps, source hashes, and the exact paid histogram. The default run does not repeat mutation tests or a phase cold replay; inherited mutation mechanisms remain available through `--mutation-controls`. + +The resulting `ASYNC-AUDIT.json`, `OWNERS-AND-PROFILE.json`, and remainder-frame receipt bind the hosted template hash + +`ed47b5454779f7ad6b32ae492a13f8b5172b11c94c3877cbc5cc5d7a4c357738`. + +The separate fresh invoice checks the new scalar/Horner counts and finite bounds. Its global prefix allowance is 225 bits within the retained 512-bit budget, and its physical row coefficient is 16,467 within the retained 20,161 bound. Exact assembly then produces the global kappa stated above. + +The minimal reconstruction sequence is: + +```text +python prepare_supplier_base.py --data-base BASE112 --local LOCAL_FINAL --out NEW_BASE +python emit_supplier_hosted.py --base NEW_BASE --owners OWNERS --plan NOMINATION --out HOSTED +python audit_supplier_hosted.py NEW_BASE HOSTED AUDIT/ASYNC-AUDIT.json +``` + +These three reconstruction and admission scripts use the Python standard library. The discovery allocator additionally uses NumPy and SciPy, but it is not part of the frozen-witness replay. + +## Why changing the supplier was necessary + +For the preceding 560-helper word, the fixed `L = 9`, `m = 73` data-stock relaxation has widths `18 x 7`, `154 x 8`, and `388 x 9` per invocation. Dropping all timing and integrality constraints while retaining the same pending-child inventory gives the exact ordinary-moment upper endpoint + +`b < 0.001460506721431481043439`. + +The rational primal/dual certificate is `evidence/PR523-FIXED-WORD-CEILING.json`. It leaves less than 0.03% improvement over the previous complex exponent through replica count, ordering, or allocation alone within that fixed geometry. It is a statement about the former word and pending-child inventory. It does not bound the new 504-helper supplier. The present improvement changes the local paid profile and residual inventory, then closes the actual whole-owner construction and global assembly. diff --git a/research/kernel92-frame-composition/vendor/pr531/proof/LOCAL-CONSTRUCTION.md b/research/kernel92-frame-composition/vendor/pr531/proof/LOCAL-CONSTRUCTION.md new file mode 100644 index 0000000000..f454fa6267 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/proof/LOCAL-CONSTRUCTION.md @@ -0,0 +1,261 @@ +# The same-partition 504-helper scalar construction + +Prepared for icekylinx with GPT-6 Astra assistance. Apache-2.0. + +This note describes the changed local scalar construction, its exact response +selection, and the accounting boundary. The finite word, rather than a rank +estimate, is the object to be admitted. The selected final word is +`evidence/local/FULL-WORD.json.gz`. + +## 1. The identity to implement + +Keep the 112 non-coordinate E8 root lines of the existing Hamming model. Write +their representatives as `r_t` in eight coordinates, with squared norm four, and +put `G[t,s] = /2`. The representatives have four-coordinate supports in +the existing fourteen Hamming blocks, with eight lines per block. Define + +$$ +T_i=\sum_s r_s[i]x_s,\qquad +C_t=\frac14\sum_i r_t[i]T_i. +$$ + +Then `C_t = x_t + sum_{s != t} G[t,s] x_s/2`. It suffices to deliver the side +term `-sum_{s != t} G[t,s] x_s/2`, while restoring every source and helper. +The eight coordinate centers retain their actual rank-eight frames. The eight +isolated coordinate ports of the old 120-port construction are removed by the +same explicit restriction used in Round19; they do not contribute additional +centers or hidden scalar calls. + +For a coordinate pair `p=(i,j)` in a block `D`, normalize its face packet as + +$$ +F_{D,p,\epsilon} +=\sum_{s\in D:\ r_s[i]r_s[j]=\epsilon}r_s[i]x_s. +$$ + +The module's recorded output scale is part of this normalization. Exactly three +Hamming blocks contain a fixed coordinate pair. If `B` is the target block and +`A,C` are the other two, put `M_{B,p,epsilon}=F_A+F_C`. The usual face-packet +decomposition supplies all cross-block Gram terms; within a block, the only +nonzero off-diagonal Gram terms join its opposite-parity tetrahedra. + +## 2. Put the own-block term directly in an output basis + +For every block `(i,j,k,l)`, select the partition `(i,j)|(k,l)` in **both** +tetrahedra. For a selected target pair `(t,u)`, let + +$$ +a=r_t[i],\quad b=r_t[k],\quad c=r_u[i],\quad d=r_u[k], +\qquad d=-bc/a, +$$ + +and use the invertible output change + +$$ +K=\begin{pmatrix}1&1\\c/a&-c/a\end{pmatrix}, +\qquad +K^{-1}=\begin{pmatrix}1/2&a/(2c)\\1/2&-a/(2c)\end{pmatrix}. +$$ + +Loading `-a M_p/2` and `-b M_q/2` into the two coordinates before applying `K` +gives the required two cross-block outputs. Applying `K^{-1}` to the two +own-block Gram rows gives + +$$ +-G[t,s]/4-aG[u,s]/(4c),\qquad +-G[t,s]/4+aG[u,s]/(4c). +$$ + +Each row has exactly two nonzero source coefficients and equals a scaled +rank-two partial already present after the module's first forty operations. +The constructor matches the full exact coefficient vector, including its +scale, to the unique existing register. This replaces the eight separate +own-output helpers per block with the eight existing output registers. + +Arbitrary initial outputs are handled by applying `K^{-1}` at frame zero. +The center scatter is also expressed in that basis. The later explicit `K` +restores the original target coordinates. All other pair deliveries are added +after that restoration. Thus the construction preserves arbitrary initial +outputs, as well as giving the correct clean source columns. + +## 3. Complete centers before those output loads + +The center cut must precede the rank-two own-output loads. At the first-forty +operation frontier, selecting the same partition in both tetrahedra protects +eight pair-partial registers and leaves **eight** face assemblies whose two +operands avoid those registers. Execute those eight assemblies early. + +Their eight retired donors have clean source rank eight. At the containing +rank-four block frame, an explicitly emitted invertible elementary program +changes their basis so that four coordinates are the block totals +`sum_{s in B} r_s[i] x_s`; four complementary coordinates retain the remaining +information. No donor is overwritten or assumed initially clean. The emitted +operations, including their actual scale factors, are subject to the scalar +primitive audit; invertibility or rank alone does not admit an operation. + +The existing rank-eight center paths combine these block totals into the eight +`T_i`. At this cut the raw word has not touched any output. After the cut, load +the eight protected partials directly into the preconditioned outputs at their +rank-two frames, and execute the remaining four face assemblies. + +## 4. Deliver selected sums in two halves + +Each face packet has its existing carrier and one explicitly allocated copy, +one for each other block containing its coordinate pair. This costs twelve +helpers per block. + +Because both tetrahedra use the same partition, a selected key +`(B,p,epsilon)` has two selected output consumers and no ordinary consumer. +Write its packet sum as `A+C`, and call the two output coordinates `y_0,y_1`. +Before any cross-block packet summation, perform all first-half reads: + +* Load `A` into `y_0` using the copy of `A` assigned to the other block `C`. +* Load `C` into `y_1` using the copy of `C` assigned to the other block `A`. + +Only after every first-half read, form the ordinary packet sums. For the +selected key, keep its two assigned raw copies instead of summing them. +Complete `y_0` from its `C` copy and `y_1` from its `A` copy. The actual module +scales and selected-output coefficients multiply each read. + +The first loads join the own partial and their donor at rank four, and the +second loads join at rank six. Every join lies inside the relevant target +hyperplane, and all donor chains remain monotone. The constructor checks these +literal subspaces for all 112 first and 112 second loads. Performing all first +reads before packet summation is essential: the other copy may subsequently +change value and frame. Selected packet sums need no clone. The unselected +keys retain the previously explicit two-output pair transform and its copies. + +The per-block helper count is therefore + +| Purpose | Same partition | Different partitions, default504 | +|---|---:|---:| +| Original packet factory | 16 | 16 | +| Second copy of each face packet | 12 | 12 | +| Extra early center carriers | 0 | 4 | +| Ordinary two-consumer packet copies | 8 | 4 | +| Separate own-output or selected-sum clones | 0 | 0 | +| Total per block | 36 | 36 | + +Both variants have 504 helpers. The same-partition variant changes the +arbitrary-dirt response geometry; its advantage is not a further raw helper +reduction. In particular, this construction does **not** have 448 helpers. + +## 5. Exact arbitrary-dirt cancellation and restoration + +Let `D_h` be the raw target response to arbitrary initial helper `h`, and let +`C_h=K^{-1}D_h`, using the block-diagonal collection of selected output bases. +The response engine propagates exact rational columns through the entire +`A + cut + B` program and applies the recorded target preconditioner. A +correction `y -= C_h h` before the raw program cancels its helper response. + +For a kernel pivot `p`, an exact dyadic relation +`C_p = sum_d q_d C_d` permits the explicit prefix +`d -= q_d p` at a common entrance frame `E`. Pivot and donors must all contain +`E` in their first-use frames. The kernel prefix is an invertible source/helper +program. Globally disjoint pivot and donor sets prevent interacting pivots; +shared donors must follow comparable entrance frames. + +A gauge executes the correction `y -= C_h h` at its nonzero entrance frame. +That frame must be contained in the helper's first frame, in every affected +target's first frame, and in every center frame serving those targets. Target +levels and each center's served levels must form actual nested chains. Gauged +helpers are disjoint from both pivots and donors in this construction. + +Source/helper mutations never read an output. Reversing all source/helper +mutations at the full frame, including the kernel prefix, restores their entire +arbitrary initial state. The frame-zero preconditioner and the remaining +frame-zero dirty corrections then make the whole word exactly +`(x,y,h) -> (x,y+x,h)`. The independent final auditor checks this equality on +every live column in both forward and inverse-transpose orientations; clean +factory matching alone is not used as the arbitrary-dirt guarantee. + +## 6. Frozen entrance choice and paid profile + +`gauge_same.py` enumerates every admissible line for a helper in the fixed raw +word, using the actual response, first target frames and center incidences. An +exact dynamic program over partitions of the eight center labels finds 72 +compatible line gauges. The selected solution uses the single binary line +spanned by `6` in the raw Hamming labels, before canonical transport. This is a maximum only within this fixed-word, line-gauge +subclass and its retained first-use frames. + +With those 72 helpers reserved, `kernel_screen_same.py` searches first frames +and pairwise intersections. Modular rank is only a discovery filter. Every +accepted relation is solved and checked over `Fraction`, and its coefficients +are checked to be dyadic. The frozen choice has six rank-one classes (the +generators below also use raw Hamming labels): + +| Binary generator | Donors in class | Pivots | +|---|---:|---:| +| 486 | 36 | 32 | +| 480 | 36 | 32 | +| 414 | 20 | 4 | +| 408 | 20 | 4 | +| 390 | 8 | 4 | +| 384 | 8 | 4 | + +There are 128 distinct donors and 80 distinct pivots. This kernel search is +greedy and makes no optimality claim. The frozen `SELECTION.json`, not the +modular screening result, specifies the proof object. There are 152 helpers +of residual width eight and 352 of width nine. + +Backward frame coalescing subsequently changes 248 gate-frame annotations, +all in body `B` (none in the entrance prefix); +it preserves every scalar operation, coefficient, order, cut level, and helper +entrance/exit. Each promoted frame is permitted by both operands' actual +future frames. The literal profile, including donor prefix splits, is: + +| Rank | Raw same504 | 72 gauges + 80 pivots | Final coalesced word | +|---|---:|---:|---:| +| 1 | 1880 | 2060 | 2028 | +| 2 | 832 | 912 | 752 | +| 3 | 312 | 188 | 156 | +| 4 | 168 | 280 | 392 | +| 5 | 168 | 56 | 56 | +| 6 | 56 | 56 | 56 | +| 7 | 0 | 8 | 8 | +| 8 | 8 | 0 | 0 | + +The final rank mass is exactly + +$$ +6240=2\cdot112\cdot8+152\cdot8+352\cdot9+64. +$$ + +Coalescing preserves that mass and reduces the natural-log local fee +`sum_r r H_r log(73/r)` by exactly `96 log(64/3)`, approximately +293.785996290393. This is a local accounting statement. The global exponent +requires actual whole owners, spectator/entrance wrappers, all idle and bank +terms, finite compilation charges, and the exact global moment and outer +checks. Those are separate receipts; no local-only estimate is substituted +for them. + +## 7. Sources, credits and verification scope + +The pinned PR514 package supplies the Hamming geometry, packet modules and +`construct_partial.py`; it in turn credits PR507's partial-own factory and +the PR425/433 scalar ancestry. The scalar elementary-operation routines here +retain those notices. The exact response and word rewriter are the pinned +`e8-complex-gauge-kernel/code/gk_word.py` from DreamingOfClouds, whose original +notice credits Claude Opus 5.5 assistance and whose method credits +PR417/435/434/440 for kernels and PR401/408–416 for gauges. Their substantive +contributions remain part of the construction. + +This round's changes are the early own-output schedule, the early retired-row +center basis, the two-half selected packet delivery, the same-partition +variant, the joint frozen entrance selection, and its compatible frame +coalescing, prepared for icekylinx with GPT-6 Astra assistance. The contemporaneous +PR522 by Dugongue, pinned at +`e9f8075b5212e9bddf361097dbb022dcd052e0bb`, supplies a related rank-sector +coordinate-total principle used for inspiration and comparison. This round +does not import its `56 H_1 + 56 H_5 -> 56 H_6` patch: the early eight retired +rows, earlier center cut and output delivery form a newly emitted scalar +architecture. Its standalone numerical gain is not added to this word. The final package should +retain its broader inherited source/phase/whole-owner notices as well. + +The discovery scripts check exact clean identities, selected response +relations and literal local frames. The final independent auditor rebuilds +all dirty compensation and checks all columns, the inverse-transpose action, +dyadic primitives and canonical transport. Phase lowering, physical owners, +wrappers, finite invoices and global assembly are separate explicit checks. +No new universal compiler theorem, Lean certification, or unrestricted +optimality result is asserted by this note. diff --git a/research/kernel92-frame-composition/vendor/pr531/vendor/clifford/clifford_exact.py b/research/kernel92-frame-composition/vendor/pr531/vendor/clifford/clifford_exact.py new file mode 100644 index 0000000000..166841a037 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/vendor/clifford/clifford_exact.py @@ -0,0 +1,149 @@ +"""Small exact Gaussian-dyadic Clifford compiler, independent of gx internals. +Paulis use i^p X^x Z^z. State vectors use integer Gaussian numerators / 2^d. +The tableau is supplemented by a literal circuit, so global phases are kept. +""" +from dataclasses import dataclass + +def parity(x):return x.bit_count()&1 +def rank(rows): + p={} + for x in rows: + while x: + b=x.bit_length()-1 + if b not in p:p[b]=x;break + x^=p[b] + return len(p) +def transpose(rows,n):return tuple(sum(((rows[j]>>i)&1)<>j&1);a[j],a[k]=a[k],a[j] + for i in range(n): + if i!=j and a[i]>>j&1:a[i]^=a[j] + assert [r&((1<>n for r in a) +def basis_extend(cols,n): + out=[] + for x in list(cols)+[1<len(out):out.append(x) + assert len(out)==n + return tuple(out) +def nullspace(rows,n): + a=list(rows);p=[];k=0 + for j in range(n): + t=next((i for i in range(k,len(a)) if a[i]>>j&1),None) + if t is None:continue + a[t],a[k]=a[k],a[t] + for i in range(len(a)): + if i!=k and a[i]>>j&1:a[i]^=a[k] + p.append(j);k+=1 + return tuple((1<>j)&1)<>i&1:out=pmul(out,T[i]) + for i in range(n): + if z>>i&1:out=pmul(out,T[n+i]) + return out +def compose(A,B):return tuple(apply(A,p) for p in B) +def inverse(T): + n=len(T)//2;cols=[x|(z<>n;u,v,p=apply(T,(x,z,0));assert (u,v)==identity(n)[j][:2];out.append((x,z,(-p)%4)) + return tuple(out) +def qvalue(Q,alpha,x,n): + return (sum(alpha[i] for i in range(n) if x>>i&1)+2*sum(parity((Q[i]>>(i+1))&(x>>(i+1))) for i in range(n) if x>>i&1))%4 +def mul_i(a,p): + x,y=a;p%=4 + return [(x,y),(-y,x),(-x,-y),(y,-x)][p] +@dataclass +class Op: + n:int + tab:tuple + circuit:list + def then(self,b): + assert self.n==b.n + return Op(self.n,compose(b.tab,self.tab),self.circuit+b.circuit) + def adjoint(self): + circ=[] + for e in reversed(self.circuit): + if e[0]=='P':circ.append(('P',inv(e[1],self.n))) + elif e[0]=='D':circ.append(('D',e[1],tuple((-x)%4 for x in e[2]))) + elif e[0]=='C':circ.append(('C',e[1],-e[2])) + elif e[0]=='phase':circ.append(('phase',(-e[1])%4)) + else:circ.append(e) + return Op(self.n,inverse(self.tab),circ) + def zero_state(self,basis=0): + N=1<>i)&1 for i in range(n)) + assert all(alpha[i]%2==(Q[i]>>i)&1 for i in range(n)) + return Op(n,tuple([(1<>i&1 else 0,1<>i&1 else 0) for i in range(n)]),[('C',q,sgn)]) +def xgate(n,b):return Op(n,tuple([(1<>i)&1)) for i in range(n)]),[('X',b)]) +def fourier(n,axes=None): + out=ident(n) + for i in range(n) if axes is None else axes:out=out.then(cgate(n,1<len(selected):picks.append(j);selected.append(x) + assert len(picks)==r and all(x>>r==0 for x in Bcols) + Br=transpose(selected,r);Bi=inv(Br,r);Dr=transpose([Dcols[j]&((1<> p & 1: x ^= b[p] + if x: + p = x.bit_length() - 1 + for q in b: + if b[q] >> p & 1: b[q] ^= x + b[p] = x + return tuple(b[p] for p in sorted(b, reverse=True)) + + +def widths_of(word): + """residual width of every helper: 9 - dim(entrance frame); 9 when the word has no extension""" + R = word['report']['R'] if 'R' not in word else word['R'] + w = [L] * R + for r, E in word.get('start_extra', {}).items(): + assert 2 * V <= int(r) < 2 * V + R + w[int(r) - 2 * V] = L - len(basis(E)) + return w + + +def split_pad(p): + """a pad of rank p is paid as nested commuting children of rank <= 51 (so that 73^2 > 2*child^2); rank 1 stays 1""" + if p == 0: return [] + n = -(-p // 51); return [p // n + (1 if i < p % n else 0) for i in range(n)] + + +def tile(items): + """Bank tiling of unhosted residuals. items: list of (rep, helper, width); a bank has M = 73 cells. + * width-9 residuals (no wrapper acts on them): first fit in the given order, packed from offset 0, eight per bank, pad rank 1 + (PR #433/#442's tiling and routes [2, slot]); + * ENTERING residuals (width w < 9, paid wrappers, e = 9 - w spectators): banks of their own in which every entering helper is the ONLY + owner of its bank family in its invocation (the one-helper rule of PR #458 extended to banks): bank j holds the j-th entering + helper of each replica, residuals packed from offset 0 in replica order (at most one helper per replica, hence per invocation). + The spectators of an entering helper are the first e cells of the bank beyond every residual cell of the bank (the pad, which no call + uses for a residual, is paid as before: rank 73 - sum of widths; the spectators are borrowed inside it and not deducted). + Returns (assign, banks, pads): assign[(rep, helper)] = (bank, offset, width, pure, spectators) with pure = the bank holds only width-9 + residuals and spectators = () for width 9; pads = Counter of pad ranks (split into children of rank <= 51).""" + assign = {}; pads = Counter(); fill = [] + for z, (rep, h, w) in enumerate(items): # width 9: first fit, as PR #433 (all widths 9 reproduces it exactly) + if w != L: continue + for b, f in enumerate(fill): + if f + w <= M: break + else: + b = len(fill); fill.append(0) + assign[(rep, h)] = (b, fill[b], w, True, ()); fill[b] += w + nwide = len(fill); byrep = {} + for rep, h, w in items: + if w < L: byrep.setdefault(rep, []).append((h, w)) + cells = [0] * max((len(v) for v in byrep.values()), default=0); emax = [0] * len(cells); place = {} + for rep in sorted(byrep): # the j-th entering helper of every replica goes to entering bank j + for j, (h, w) in enumerate(byrep[rep]): + place[(rep, h)] = (nwide + j, cells[j], w); cells[j] += w; emax[j] = max(emax[j], L - w) + for j in range(len(cells)): assert cells[j] + emax[j] <= M, ('entering bank without room for its spectators', j) + for (rep, h), (b, off, w) in place.items(): + assign[(rep, h)] = (b, off, w, False, tuple(range(cells[b - nwide], cells[b - nwide] + L - w))) + fill += cells + for f in fill: + for part in split_pad(M - f): pads[part] += 1 + return assign, len(fill), pads + + +def route(off, w, pure, sp=()): + """owner route of a banked helper residual: PR #433's [2, slot] for width 9 (pure width-9 bank); an entering helper (w < 9) is + [2, offset, width, [spectator cells]] with e = 9 - w spectators""" + if w == L: assert pure and not sp; return [2, off // L] + assert not pure and len(sp) == L - w; return [2, off, w, list(sp)] + + +def unhosted_stock(widths): + """live stock and padding histogram of the unhosted (parent) template, per stage x nine""" + R = len(widths) + _, nb, pads = tile([(rep, h, widths[h]) for rep in range(T) for h in range(R)]) + return DATA + L * nb, Counter({r: z * L for r, z in pads.items()}) diff --git a/research/kernel92-frame-composition/vendor/pr531/vendor/gk/gk_word.py b/research/kernel92-frame-composition/vendor/pr531/vendor/gk/gk_word.py new file mode 100644 index 0000000000..15782ba625 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/vendor/gk/gk_word.py @@ -0,0 +1,194 @@ +"""Apply a frozen selection (shared-donor kernel + entrance gauges) to PR #433's complex word. Apache-2.0. +Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. +usage: gk_word.py BASE_FULL-WORD.json.gz SELECTION.json OUT_FULL-WORD.json.gz +An empty selection ({}) copies the input byte for byte (regression anchor). + +selection = {"kernel": [{"E": [x], "donors": [h..], "pivots": [h..]}..], "gauge": {"h": [x..]}} (h = helper index 0..R-1) +Kernel (PR #417/#435/#434/#440): a pivot starts at E; every donor receives donor += -q * pivot at frame E before the main +word, where col(pivot) = sum q_d col(d) are the exact dirty-response columns; the pivot's frame-zero compensation vanishes. +Gauge (#401/#408-#416): the compensation target += -C[t,h] * helper of helper h is executed at frame E_h as the first gates +of the main word; h starts at E_h and its targets climb to the level L_t = largest E over their entering helpers. +The exact verification is the arbitrary-dirt replay of audit_gk.py; this module also checks the structural conditions.""" +import copy, gzip, hashlib, json, sys +from collections import Counter, defaultdict +from fractions import Fraction as Q +from pathlib import Path +sys.path.insert(0, str(Path(__file__).resolve().parent)) +from gk_common import * + + +def apply_op(e, rows): + if e[0] == 'scale': + _, t, a, b, *_ = e; q = Q(a, b); rows[t] = {j: q * x for j, x in rows[t].items()} + else: + _, t, s, a, b, *_ = e; q = Q(a, b) + for j, x in list(rows[s].items()): + z = rows[t].get(j, Q(0)) + q * x + if z: rows[t][j] = z + else: rows[t].pop(j, None) + + +def inverse(e, F): + e = copy.deepcopy(e) + if e[0] == 'add': e[3] *= -1 + else: e[2], e[3] = e[3], e[2] + e[-1] = list(F); return e + + +def responses(word): + """dirty-response columns col[h] = {target: coefficient} of the unmodified word (after the frame-zero preconditioner)""" + R = word['report']['R']; n = 2 * V + R + rows = [{r: Q(1)} for r in range(n)] + for e in word['A'] + word['cut'] + word['B']: apply_op(e, rows) + dirty = [{} for _ in range(n)] + for r in range(V, 2 * V): dirty[r] = {j: x for j, x in rows[r].items() if j >= 2 * V} + for e in word['precondition']: apply_op(e, dirty) + col = [{} for _ in range(R)] + for r in range(V, 2 * V): + for j, x in dirty[r].items(): col[j - 2 * V][r - V] = x + return col + + +def first_frames(word): + first = {} + for seq in (word['A'], word['B']): + for e in seq: + F = basis(e[-1]) + for r in [e[1]] + ([e[2]] if e[0] == 'add' else []): + if r >= 2 * V: first.setdefault(r - 2 * V, F) + return first + + +def solve_relation(col, donors, p): + """exact rational c with col[p] = sum_d c_d col[d]; None if p is not in the span""" + ts = sorted({t for d in donors for t in col[d]} | set(col[p])) + idx = {t: i for i, t in enumerate(ts)} + Mx = [[Q(0)] * (len(donors) + 1) for _ in ts] + for ci, d in enumerate(donors): + for t, x in col[d].items(): Mx[idx[t]][ci] = x + for t, x in col[p].items(): Mx[idx[t]][-1] = x + piv = []; r = 0 + for c in range(len(donors)): + pr = next((i for i in range(r, len(Mx)) if Mx[i][c]), None) + if pr is None: continue + Mx[r], Mx[pr] = Mx[pr], Mx[r]; q = Mx[r][c]; Mx[r] = [x / q for x in Mx[r]] + for i in range(len(Mx)): + if i != r and Mx[i][c]: + f = Mx[i][c]; Mx[i] = [a - f * b for a, b in zip(Mx[i], Mx[r])] + piv.append(c); r += 1 + if any(Mx[i][-1] for i in range(r, len(Mx))): return None + assert r == len(donors), 'donors must have independent response columns' + return {donors[c]: Mx[i][-1] for i, c in enumerate(piv) if Mx[i][-1]} + + +def span(U): + s = {0} + for b in U: s |= {x ^ b for x in s} + return s + + +def perp(x): return basis([z for z in range(1, 512) if not (x & z).bit_count() % 2]) + + +def profile(word): + """local paid profile of a gk word by direct simulation of the frame chains (second implementation: audit_gk.py)""" + R = word['report']['R']; n = 2 * V + R; P = word['ports'] + cur = {} + for r in range(n): + cur[r] = (P[r],) if r < V else ((basis(word['start_extra'][str(r)]) if str(r) in word.get('start_extra', {}) else ()) if r >= 2 * V else ()) + paid = Counter() + def climb(r, F): + F = basis(F); o = cur[r] + assert basis(list(o) + list(F)) == F, ('frame violation', r, o, F) + if o != F: paid[len(F) - len(o)] += 1; cur[r] = F + lev = {int(t): basis(E) for t, E in word.get('target_levels', {}).items()} + for seq, part in ((word['A'], 'A'), (word['B'], 'B')): + if part == 'B': + for r, f in zip(word['centers'], word['center_frames']): + assert cur[r] == basis(f), 'centre frame' + served = sorted({lev.get(e[1] - V, ()) for e in word['cut'] if e[2] == r}, key=lambda E: -len(E)) + o = basis(f) + for Lv in served: + assert span(Lv) <= span(o), 'served levels must descend inside the centre frame' + if Lv != o: paid[len(o) - len(Lv)] += 1; o = Lv + for t in range(V): assert cur[V + t] == lev.get(t, ()), 'target level at the centre scatter' + for e in seq: + for r in [e[1]] + ([e[2]] if e[0] == 'add' else []): climb(r, e[-1]) + for r in range(n): climb(r, FULL if (r < V or r >= 2 * V) else perp(P[r - V])) + return paid + + +def global_profile(local, widths): + """unhosted nine-stage profile: local x (stages*replicas) + the 240*8 idle children per rank + bank pads""" + live, pads = unhosted_stock(widths) + g = Counter({r: z * L * T for r, z in local.items()}) + for r in (16, 8, 32, 8, 48, 8, 48, 32, 16): g[r] += 240 * T + g.update(pads) + return live, g + + +def build(word, sel, check=True): # check=False only for the mutation controls that must be caught by the certifying scripts + if not sel: return word + w = copy.deepcopy(word); R = w['report']['R'] + col = responses(word); first = first_frames(word) + gauge = {int(h): basis(E) for h, E in sel.get('gauge', {}).items()} + classes = sel.get('kernel', []) + pivots = {p for c in classes for p in c['pivots']}; donors = {d for c in classes for d in c['donors']} + assert not (pivots & donors) and not (pivots | donors) & set(gauge) and len(pivots) == sum(len(c['pivots']) for c in classes) + # --- structural conditions ------------------------------------------------------------------------------------- + for h, E in gauge.items(): + assert not check or span(E) <= span(first[h]), ('gauge entrance outside the first frame', h) + levels = defaultdict(list) + for h, E in gauge.items(): + for t in col[h]: levels[t].append(E) + for t, Es in levels.items(): # pairwise nested comps per target + for a in Es: + for b in Es: assert not check or span(a) <= span(b) or span(b) <= span(a), ('non-nested gauges at target', t) + lev = {t: max(Es, key=len) for t, Es in levels.items()} + for k, r in enumerate(w['centers']): # chain per centre, inside the centre frame + served = {lev.get(e[1] - V, ()) for e in w['cut'] if e[2] == r} + for a in served: + for b in served: assert not check or span(a) <= span(b) or span(b) <= span(a), ('centre chain', k) + top = max(served, key=len) + assert not check or span(top) <= span(basis(w['center_frames'][k])), ('level outside centre frame', k) + # --- gates ---------------------------------------------------------------------------------------------------------- + gates = [] + for h, E in sorted(gauge.items(), key=lambda kv: (len(kv[1]), kv[0])): + for t, x in sorted(col[h].items()): + c = -x; gates.append(['add', V + t, 2 * V + h, c.numerator, c.denominator, list(E)]) + pre = [] + start = {2 * V + h: list(E) for h, E in gauge.items()} + for cl in sorted(classes, key=lambda c: (len(c['E']), c['E'])): + E = basis(cl['E']) + for x in [*cl['donors'], *cl['pivots']]: assert span(E) <= span(first[x]), ('kernel entrance outside the first frame', x) + for p in cl['pivots']: + rel = solve_relation(col, cl['donors'], p) + assert rel is not None, ('pivot response not in the donor span', p) + start[2 * V + p] = list(E) + for d, c in rel.items(): + q = -c; pre.append(['add', 2 * V + d, 2 * V + p, q.numerator, q.denominator, list(E)]) + w['A'] = gates + pre + w['A'] + w['cleanup'] = [inverse(e, FULL) for e in reversed(w['A'] + w['B']) if not V <= e[1] < 2 * V] + w['start_extra'] = {str(r): list(E) for r, E in sorted(start.items())} + w['target_levels'] = {str(t): list(E) for t, E in sorted(lev.items()) if E} + if not check: return w + prof = profile(w); widths = widths_of(w) + live, g = global_profile(prof, widths) + w['report']['local_profile'] = {str(k): z for k, z in sorted(prof.items())} + w['report']['global_profile'] = {str(k): z for k, z in sorted(g.items())} + w['report']['live'] = live + w['report']['entrance_rank'] = sum(L - x for x in widths); w['report']['entering_helpers'] = sum(1 for x in widths if x < L) + w['report']['selection_sha256'] = hashlib.sha256(json.dumps(sel, sort_keys=True).encode()).hexdigest() + return w + + +def dump(w): return gzip.compress(json.dumps(w, sort_keys=True, separators=(',', ':')).encode(), mtime=0) + + +if __name__ == '__main__': + src, selp, out = map(Path, sys.argv[1:4]) + sel = json.loads(selp.read_text()) + if not sel: out.write_bytes(src.read_bytes()); print('empty selection: copied byte for byte'); sys.exit(0) + word = json.load(gzip.open(src)); w = build(word, sel); out.write_bytes(dump(w)) + print('gk word: entering helpers', w['report']['entering_helpers'], 'entrance rank', w['report']['entrance_rank'], + 'local profile', w['report']['local_profile'], 'unhosted live', w['report']['live']) diff --git a/research/kernel92-frame-composition/vendor/pr531/verify_fast.py b/research/kernel92-frame-composition/vendor/pr531/verify_fast.py new file mode 100644 index 0000000000..245b61bbe5 --- /dev/null +++ b/research/kernel92-frame-composition/vendor/pr531/verify_fast.py @@ -0,0 +1,132 @@ +"""Fast offline finite replay of the frozen Round20 global construction. + +Default: exact changed scalar word, actual global owner/controller audit, +fresh primitive/prefix invoice, two rational moments and strict outer bounds. +The byte-pinned completed phase, data-controller and unchanged bit certificates +are reused. No solver, predecessor cold replay, or all-edge phase pass runs. +Optional --delta-phases lowers only edges absent from the pinned PR523 cache. +""" +import argparse +import gzip +import hashlib +import json +import shutil +import subprocess +import sys +import time +from pathlib import Path + + +def read(path): + b = path.read_bytes() + return json.loads(gzip.decompress(b) if path.suffix == '.gz' else b) + + +def sha(path): + return hashlib.sha256(path.read_bytes()).hexdigest() + + +def main(): + if not __debug__: + raise SystemExit('Assertions must be enabled; do not use -O.') + ap = argparse.ArgumentParser(description=__doc__) + ap.add_argument('--work', type=Path, required=True) + ap.add_argument('--rebuild-local', action='store_true', help='Also rebuild the scalar factory and frozen rational selection, without a search.') + ap.add_argument('--delta-phases', action='store_true', help='Also freshly lower only changed phase edges; requires NumPy.') + a = ap.parse_args() + root = Path(__file__).resolve().parent + a.work = a.work.resolve() + assert not a.work.exists(), 'Use a new output directory.' + assert root not in a.work.parents, 'Place outputs outside the package.' + started = time.monotonic() + manifest = read(root/'MANIFEST.json') + for rel, digest in manifest['sha256'].items(): + assert sha(root/rel) == digest, ('input hash', rel) + expected = read(root/'EXPECTED.json') + local = root/'evidence/local' + can = read(local/'CANONICAL-WORD.json.gz') + review = read(local/'CLIFFORD-REVIEW.json') + replay = read(local/'INDEPENDENT-LOCAL-REPLAY.json') + programs = read(local/'LOCAL-PROGRAMS.json.gz') + checks = read(local/'LOCAL-CHECKS.json') + assert review['canonical_word_sha256'] == replay['canonical_word_sha256'] == sha(local/'CANONICAL-WORD.json.gz') + assert replay['local_programs_sha256'] == sha(local/'LOCAL-PROGRAMS.json.gz') + assert review['recipe_sha256'] == sha(local/'CLIFFORD-RECIPES.json') + assert review['compiler_sha256'] == sha(root/'vendor/clifford/clifford_exact.py') + assert review['all_child_equalities_include_global_phase'] + assert review['baseline_recipe_sha256'] == sha(root/'inputs/phase-baseline/CLIFFORD-RECIPES.json') + for orientation, events in programs.items(): + encoded = json.dumps(events, sort_keys=True, separators=(',',':')).encode() + assert hashlib.sha256(encoded).hexdigest() == checks[orientation]['sha256'] + adapters = read(local/'RESIDUAL-ADAPTERS.json')['recipes'] + starts = {f for f in can['start'][2*can['v']:] if f} + assert set(map(int, adapters)) == starts + for f in starts: + r = adapters[str(f)] + assert r['vectors'] == can['frames'][f] and r['rank'] == 9-len(can['frames'][f]) + + a.work.mkdir(parents=True) + steps = [] + def run(name, script, *args): + t = time.monotonic() + command = [sys.executable, '-B', str(root/'code'/script), *map(str,args)] + log = a.work/(name+'.log') + with log.open('w') as f: + result = subprocess.run(command, stdout=f, stderr=subprocess.STDOUT) + if result.returncode: + print(log.read_text(), file=sys.stderr) + raise SystemExit(f'{name} failed; see {log}') + steps.append(dict(name=name, seconds=time.monotonic()-t, log=log.name)) + print('PASS', name, f'{steps[-1]["seconds"]:.2f}s', flush=True) + + raw = local/'FULL-WORD.json.gz' + if a.rebuild_local: + run('rebuild-selected', 'build_selected.py', '--work', a.work/'reconstructed') + raw = a.work/'reconstructed/coalesced/FULL-WORD.json.gz' + run('changed-scalar-and-frames', 'audit_and_transport.py', '--raw', raw, + '--routing', root/'inputs/data-base/split-centres/CANONICAL-WORD.json.gz', + '--out', a.work/'scalar') + assert read(a.work/'scalar/CANONICAL-WORD.json.gz') == can + if a.delta_phases: + phase = a.work/'delta-phases' + phase.mkdir() + shutil.copyfile(local/'CANONICAL-WORD.json.gz', phase/'CANONICAL-WORD.json.gz') + run('changed-phase-edges', 'phases_delta.py', '--local', phase, + '--baseline', root/'inputs/phase-baseline', '--compiler', root/'vendor/clifford') + assert read(phase/'CLIFFORD-RECIPES.json') == read(local/'CLIFFORD-RECIPES.json') + + run('new-local-controller-binding', 'prepare_supplier_base.py', + '--data-base', root/'inputs/data-base', '--local', local, '--out', a.work/'base') + run('emit-actual-owners', 'emit_supplier_hosted.py', '--base', a.work/'base', + '--owners', root/'inputs/OWNERS.json.gz', '--plan', root/'inputs/OWNER-PLAN.json', + '--out', a.work/'hosted') + audit = a.work/'audit'; audit.mkdir() + run('independent-whole-owners', 'audit_supplier_hosted.py', a.work/'base', + a.work/'hosted', audit/'ASYNC-AUDIT.json') + run('fresh-prefix-and-invoice', 'invoice_final.py', '--base', a.work/'base', + '--hosted', a.work/'hosted', '--audit', audit, '--out', audit, + '--retained-invoice', root/'inputs/PR523-PREFIX-AND-INVOICE.json') + run('two-moments-and-outer', 'assemble.py', audit, a.work/'base', + a.work/'hosted', root/'inputs/PR493-EXPECTED.json') + answer = read(audit/'EXACT-ASSEMBLY.json') + owners = read(audit/'OWNERS-AND-PROFILE.json') + invoice = read(audit/'PREFIX-AND-INVOICE.json') + assert answer['kappa'] == expected['kappa'] + assert answer['complex_lower'] == expected['complex_lower'] + assert answer['complex_template_sha256'] == expected['global_template_content_sha256'] + assert owners['paid_profile'] == expected['global_profile'] + assert invoice['global_prefix_bits'] == expected['global_prefix_bits'] + assert len(answer['strict_outer_constraints']) == 47 + result = dict(status='PASS_FAST_OFFLINE_FINITE_REPLAY', kappa=answer['kappa'], + kappa_decimal=answer['kappa_decimal'], complex_lower=answer['complex_lower'], + binding_component=answer['binding_component'], elapsed_seconds=time.monotonic()-started, + predecessor_cold_replay=False, unchanged_bit_operator_rebuilt=False, + changed_phase_edges_replayed=a.delta_phases, scalar_factory_rebuilt=a.rebuild_local, + steps=steps, + scope='Fresh changed-word and actual-host finite checks; byte-pinned completed phase/data/bit dependencies reused by default. All-size realization and analytic-transfer interfaces remain conditional.') + (a.work/'RESULT.json').write_text(json.dumps(result,indent=2)+'\n') + print(json.dumps({k:result[k] for k in ('status','kappa_decimal','elapsed_seconds')},sort_keys=True),flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/kernel92-frame-composition/verify.py b/research/kernel92-frame-composition/verify.py new file mode 100644 index 0000000000..6e6d656d70 --- /dev/null +++ b/research/kernel92-frame-composition/verify.py @@ -0,0 +1,51 @@ +"""Reconstruct the fixed supplier, every local phase, and the whole-owner witness. +No optimizer or network. The pinned unchanged data-controller and bit supplier +remain explicit dependencies; inherited all-size/analytic contracts remain. +""" +from pathlib import Path +import argparse,gzip,hashlib,json,os,subprocess,sys,time +if not __debug__:raise RuntimeError('Assertions must remain enabled; do not use -O') +ROOT=Path(__file__).resolve().parent;P=ROOT/'vendor/pr531' +ap=argparse.ArgumentParser(description=__doc__);ap.add_argument('out',type=Path);a=ap.parse_args();OUT=a.out.resolve() +assert not OUT.exists()and not OUT.is_relative_to(ROOT),'Use a fresh directory outside the package' +def read(p):return json.loads(gzip.decompress(p.read_bytes())if p.suffix=='.gz'else p.read_bytes()) +def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest() +def integrity(): + actual={str(p.relative_to(ROOT)):sha(p)for p in ROOT.rglob('*')if p.is_file()and p!=ROOT/'MANIFEST.json'and '__pycache__'not in p.parts} + assert actual==read(ROOT/'MANIFEST.json'),'complete package manifest' + for rel,h in read(P/'MANIFEST.json')['sha256'].items():assert sha(P/rel)==h,rel + for rel,h in read(ROOT/'SOURCES.json')['inherited_files'].items():assert sha(ROOT/rel)==h,rel +integrity();OUT.mkdir();steps=[];started=time.monotonic();env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1',PYTHONINTMAXSTRDIGITS='0');env.pop('PYTHONOPTIMIZE',None) +def run(name,script,*args): + t=time.monotonic();log=OUT/(name+'.log');print('RUN',name,flush=True) + with log.open('w')as f:r=subprocess.run([sys.executable,'-B',str(ROOT/'code/run.py'),str(script),*map(str,args)],env=env,stdout=f,stderr=subprocess.STDOUT) + steps.append(dict(name=name,seconds=time.monotonic()-t,exit_code=r.returncode,log_sha256=sha(log)));(OUT/'STEPS.json').write_text(json.dumps(steps,indent=2)+'\n') + assert r.returncode==0,(name,log.read_text()[-5000:]);print('PASS',name,flush=True) +try: + local=OUT/'local';base=OUT/'base';host=OUT/'hosted';audit=OUT/'audit';audit.mkdir() + run('rebuild-factory-and-selection',ROOT/'code/construct.py',OUT/'construction') + run('independent-92-kernel-controls',ROOT/'code/audit_kernel_scalar.py',OUT/'construction/SELECTED.json.gz',ROOT/'data/SELECTION.json',OUT/'KERNEL-SCALAR.json') + kernel=read(OUT/'KERNEL-SCALAR.json');assert kernel['kernel_pivots']==92 and kernel['columns_each_orientation']==728 + run('same-partition-frontier',P/'code/audit_same_partition_frontier.py','--packets',P/'inputs/hamming','--out',OUT/'SOURCE-FRONTIER.json') + run('scalar-and-frame-transport',P/'code/audit_and_transport.py','--raw',OUT/'construction/coalesced/FULL-WORD.json.gz','--routing',P/'inputs/data-base/split-centres/CANONICAL-WORD.json.gz','--out',local) + run('emit-local',P/'code/emit_local.py',local) + run('independent-local',P/'code/audit_local.py',local) + run('normalized-wrappers',P/'code/adapters_local.py',local/'CANONICAL-WORD.json.gz',local/'RESIDUAL-ADAPTERS.json',local/'LEMMA-A.json') + run('every-local-phase-and-endpoint',ROOT/'code/phases_full.py',local,P/'vendor/clifford') + run('bind-unchanged-data-controller',P/'code/prepare_supplier_base.py','--data-base',P/'inputs/data-base','--local',local,'--out',base) + run('emit-whole-owner-program',P/'code/emit_supplier_hosted.py','--base',base,'--owners',ROOT/'data/OWNERS.json.gz','--plan',ROOT/'data/PLAN.json','--out',host) + run('independent-owner-controller-and-mutations',P/'code/audit_supplier_hosted.py',base,host,audit/'ASYNC-AUDIT.json','--mutation-controls') + run('fresh-finite-invoice',P/'code/invoice_final.py','--base',base,'--hosted',host,'--audit',audit,'--out',audit,'--retained-invoice',P/'inputs/PR523-PREFIX-AND-INVOICE.json') + run('two-moment-engines-and-outer',P/'code/assemble.py',audit,base,host,P/'inputs/PR493-EXPECTED.json') + assembly=read(audit/'EXACT-ASSEMBLY.json');owners=read(audit/'OWNERS-AND-PROFILE.json');inv=read(audit/'PREFIX-AND-INVOICE.json');ph=read(local/'CLIFFORD-REVIEW.json');controls=read(audit/'ASYNC-AUDIT.json');expected=read(ROOT/'EXPECTED.json') + result={k:assembly[k]for k in ('kappa','kappa_decimal','complex_lower','next_b_rejected','bit_lower','binding_component')} + result.update(status='PASS_KERNEL92_FRAME_COMPOSITION_FINITE_WITNESS',global_profile=owners['paid_profile'],live=owners['live'],physical=owners['physical'],deficit=owners['deficit'],helper_roles=owners['hosted_residuals'],idle_remainders=owners['explicit_idle_remainder_children'],local_profile=read(local/'CANONICAL-WORD.json.gz')['local_profile'],canonical_word_sha256=sha(local/'CANONICAL-WORD.json.gz'),local_program_sha256=sha(local/'LOCAL-PROGRAMS.json.gz'),local_phase_recipe_sha256=sha(local/'CLIFFORD-RECIPES.json'),global_prefix_bits=inv['global_prefix_bits'],charged_prefix_bits=inv['charged_prefix_bits'],kernel_omission_controls=len(kernel['controls']),phase_edges=ph['directed_edges'],endpoint_adapters=ph['endpoint_adapters']) + for k,v in expected.items():assert result[k]==v,(k,result.get(k),v) + assert len(assembly['strict_outer_constraints'])==47 and all(s['exit_code']==0 for s in steps) + assert ph['all_child_equalities_include_global_phase']and controls['mutation_controls_run']and len(controls['mutations_rejected'])==7 + integrity();result.update(seconds=time.monotonic()-started,python=sys.version,manifest_sha256=sha(ROOT/'MANIFEST.json'),scope='Fresh supplier construction, both arbitrary-input scalar orientations, all local phases/endpoints, residual wrappers, actual whole owners, finite invoice and exact outer composition. Pinned unchanged data controller/data phases and PR493 bit operator retained; inherited all-size and analytic interfaces remain conditional.') + (OUT/'RESULT.json').write_text(json.dumps(result,indent=2)+'\n') + files=['RESULT.json','KERNEL-SCALAR.json','SOURCE-FRONTIER.json','local/SCALAR-FRAME-AUDIT.json','local/INDEPENDENT-LOCAL-REPLAY.json','local/CLIFFORD-REVIEW.json','local/LEMMA-A.json','audit/ASYNC-AUDIT.json','audit/OWNERS-AND-PROFILE.json','audit/IDLE-REMAINDER-FRAMES.json','audit/GLOBAL-PREFIX.json','audit/PREFIX-AND-INVOICE.json','audit/EXACT-ASSEMBLY.json'] + (OUT/'RECEIPT.json').write_text(json.dumps(dict(status=result['status'],steps=steps,artifacts={f:sha(OUT/f)for f in files},manifest_sha256=sha(ROOT/'MANIFEST.json')),indent=2)+'\n');print(result['status'],result['kappa_decimal'],flush=True) +except BaseException as e: + (OUT/'FAILURE.json').write_text(json.dumps(dict(error=repr(e),steps=steps),indent=2)+'\n');raise