From 9d91d61eef6690e958a7d21761d69fac2c2ca807 Mon Sep 17 00:00:00 2001 From: Dugongue <49054532+Dugongue@users.noreply.github.com> Date: Sun, 11 Oct 2026 13:03:56 -0700 Subject: [PATCH 1/4] Add files via upload --- .../tensor-syndrome-portfolio/EXPECTED.json | 178 ++ .../tensor-syndrome-portfolio/bit470/LICENSE | 201 ++ .../bit470/NOTICE.md | 3 + .../bit470/code/audit.py | 214 ++ .../bit470/code/emit.py | 285 +++ .../bit470/code/geometry.py | 110 + .../bit470/code/hosted_kernel.py | 40 + .../bit470/code/hosting_core.py | 138 ++ .../bit470/code/labels.py | 68 + .../bit470/code/local_audit.py | 46 + .../bit470/code/mix_target.py | 94 + .../bit470/code/row_bound.py | 47 + .../bit470/data/kernel-selection.json | 1228 +++++++++++ .../bit470/data/mixing.json | 282 +++ .../bit470/data/parent470.json | 1 + .../bit470/data/parent473.json | 1 + .../bit470/data/pooling.json | 513 +++++ .../bit470/data/residual-isometries.json | 1957 +++++++++++++++++ .../bit470/data/selection.json | 513 +++++ 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"f45cbe84899353f3d9ff6e8991d3dd2f3989e6201838f156074dba59d0596d9a", + "bank_assignments": 0, + "bit_profile": { + "1": 212216, + "2": 93450, + "3": 22776, + "4": 27624, + "5": 9944, + "6": 7216, + "7": 4248, + "8": 792, + "36": 1, + "56": 687 + }, + "parent_kappa": "1265931727546219/1000000000000000000", + "additional_interface": "PR442 whole-family hosting; PR450 target-label lemma; full-nine-axis two-sided monomial transport; same-owner borrowed identity spectators; paid active complements; complete invocations", + "route_extra": 6, + "dispatch_overhead": 100000 +} diff --git a/research/tensor-syndrome-portfolio/bit470/LICENSE b/research/tensor-syndrome-portfolio/bit470/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/tensor-syndrome-portfolio/bit470/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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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/research/tensor-syndrome-portfolio/bit470/NOTICE.md b/research/tensor-syndrome-portfolio/bit470/NOTICE.md new file mode 100644 index 0000000000..3541f6d356 --- /dev/null +++ b/research/tensor-syndrome-portfolio/bit470/NOTICE.md @@ -0,0 +1,3 @@ +R715 producer and carrier/XOR construction: DreamingOfClouds, with Claude Opus 5.5, PR463. Shared-donor kernel mechanism and exact engines: chafreaky and the PR417/443 lineage. Whole hosting: DaysSky PR442. Target mixing: DreamingOfClouds PR450/463; no cross-family split used. New selection, 74 retiming moves and four-replica pooling: Rohan Arun with OpenAI Codex. Complex supplier: chafreaky PR458, unchanged and cited only at this stage. The inherited repository package notices and Apache-2.0 licenses remain applicable. See the retained PR463 README and source pins. + +This followup reconstructs PR467 and reselects its kernel after retaining its frame timing and target mixing. New 105-pivot/rank113 selection and eight-replica whole pooling by Rohan Arun with OpenAI Codex assistance. diff --git a/research/tensor-syndrome-portfolio/bit470/code/audit.py b/research/tensor-syndrome-portfolio/bit470/code/audit.py new file mode 100644 index 0000000000..0c379e7bad --- /dev/null +++ b/research/tensor-syndrome-portfolio/bit470/code/audit.py @@ -0,0 +1,214 @@ +"""Independent eleven-stage schedule, geometry embedding and hosted ownership audit. +Derived from PR386/436/443/444 and DaysSky PR442; all source notices retained. +Eleven-stage integration by chafreaky with OpenAI Codex assistance, Apache-2.0. +No emitter, schedule constructor, hosting solver or expander is imported. +Usage: audit.py PARENT443_CANDIDATE OUT +""" +import copy,gzip,hashlib,json,sys +from local_audit import local_audit +from collections import Counter,defaultdict +from pathlib import Path +K,L,M,T,V=5,11,78,8,120 +R=json.loads((Path(__file__).resolve().parents[1]/'data/word.json').read_text())['R'] +DATA=2*K*V*T +read=lambda p:json.loads(p.read_text()) +sha=lambda p:hashlib.sha256(p.read_bytes()).hexdigest() +load_template=lambda p:json.loads(gzip.decompress(p.read_bytes())) + +def windows(schedule): + last={};seen=[];win={};ranks={};pairs={} + for position,event in enumerate(schedule): + kind=event['kind'] + if kind=='local_cover_sweep': + seen.append((position,event['stage'],event['pair']));last[event['pair']]=position + elif kind=='bridge': + last[event['dst']]=position;last[event['src']]=position + elif kind=='idle': + i=event['idx'];assert i not in win + win[i]={s for pos,s,p in seen if last.get(event['pair'],-1)0 and 0<=off and off+w<=rank[i] + cells=set(range(off,off+w));assert not cells&used[i,cp];used[i,cp]|=cells + assert (s,h) not in hosted;hosted[s,h]=(i,cp,off,w) + assert set(hosted)=={(s,h) for s in range(L) for h in range(R*T)} + rem={};summaries={} + for i in rank: + if not rank[i]:continue + for cp in range(2*V*T):rem[i,cp]=rank[i]-len(used[i,cp]) + if str(i) in hs['windows']: + summaries[str(i)]={str(r):n for r,n in sorted(Counter(rem[i,cp] for cp in range(2*V*T)).items())} + assert hs['remainders']==summaries + assert len(t['calls'])==L*T;seen=set();paid=Counter() + localhash={ori:hashlib.sha256(json.dumps(es,separators=(',',':')).encode()).hexdigest() for ori,es in t['local_programs'].items()} + for index,c in enumerate(t['calls']): + s,rep=c['stage'],c['replica'];p=max(0,(s-1)//2);rev=bool(s%2) + assert (s,rep)==divmod(index,T) and c['pair']==p and c['orientation']==('reverse' if rev else 'forward') + assert c['local_hash']==localhash[c['orientation']] + own=c['owners'];assert len(own)==2*V+R + assert len({(f,tuple(route)) for f,route in own})==2*V+R + for j,(f,route) in enumerate(own): + assert 0<=f2*max(paid)**3 + return paid + +def expanded_digest(t): + h=hashlib.sha256();count=0 + for call in t['calls']: + for op in t['local_programs'][call['orientation']]: + row=[op[0],call['owners'][op[1]]] + if op[0]==0:row.extend(op[2:]) + else: + row.append(call['owners'][op[2]] if op[2]<2*V+R else [t['live'],['private',0]]) + row.extend(op[3:]) + h.update(json.dumps(row,separators=(',',':')).encode());h.update(b'\n');count+=1 + return h.hexdigest(),count + + +def physical_prefix(t): + bounds={i:1 for i in range(t['live'])};scratch=t['live'];bounds[scratch]=0;maximum=1 + stages=defaultdict(list) + for c in t['calls']:stages[c['stage']].append(c) + for e in t['schedule']: + if e['kind']=='local_cover_sweep': + for c in stages[e['stage']]: + for z in t['local_programs'][c['orientation']]: + tag=z[0] + if tag==0:continue + dst=c['owners'][z[1]][0] + if tag==1: + sr=scratch if z[2]==2*V+R else c['owners'][z[2]][0] + bounds[dst]=bounds[dst]+abs(z[3])*bounds[sr] + elif tag==2:bounds[scratch]=bounds[dst] + else:assert tag==3;bounds[scratch]=0 + maximum=max(maximum,bounds[dst],bounds[scratch]) + elif e['kind']=='bridge': + for replica in range(T): + for port in range(V): + for side in (0,1): + dp,sp=(e['dst'],e['src']) if side==0 else (e['src'],e['dst']) + dst=replica*2*K*V+(2*dp+side)*V+port;sr=replica*2*K*V+(2*sp+side)*V+port + bounds[dst]+=bounds[sr];maximum=max(maximum,bounds[dst]) + assert bounds[scratch]==0 + return maximum + +def main(): + par,geometry_parent,out=map(Path,sys.argv[1:]);t=load_template(out/'GLOBAL-TEMPLATE.json.gz');pt,local_result=local_audit(par) + g=read(out/'GLOBAL.json');geo=read(out/'GEOMETRY.json');pg=read(geometry_parent/'GEOMETRY.json') + state=read(par/'records/249-states.json');fs=read(par/'records/frames.json')['frames'] + widths=[8-fs[str(state['initial'][str(h)])]['dim'] for h in range(2*V,2*V+R)] + P=audit(t,pt,widths) + assert geo['m']==78 and geo['stages']==11 and len(geo['ports'])==120 and not geo['bank_slots'] and not geo['bank_permutations'] + for p,old in zip(geo['ports'],pg['ports']): + assert {k:v for k,v in p.items() if k!='routes'}=={k:v for k,v in old.items() if k!='routes'} + assert p['routes'][:9]==old['routes'] and len(p['routes'])==11 + for s,route in enumerate(p['routes']): + if s==0:assert route==dict(stage=0,axes=list(range(8)),identity=True) + else: + assert route==dict(stage=s,axes=list(range(8))+list(range(8+7*(s-1),8+7*s)),elementary_inverse_replay=old['routes'][1]['elementary_inverse_replay']) + assert len(set(route['axes']))==15 and max(route['axes'])1<<192 # Old independent-replica charge is not reused. + controls=[] + def reject(name,fn): + q=copy.deepcopy(t);fn(q) + try:audit(q,pt,widths) + except (AssertionError,KeyError,IndexError,TypeError):controls.append(name) + else:raise AssertionError('accepted '+name) + slot=lambda q:q['hosting']['slots'][0] + reject('slot outside window',lambda q:slot(q).__setitem__(4,10)) + reject('copy outside family',lambda q:slot(q).__setitem__(1,2*V*T)) + reject('negative slot offset',lambda q:slot(q).__setitem__(2,-1)) + reject('wrong residual width',lambda q:slot(q).__setitem__(3,slot(q)[3]+1)) + reject('duplicate helper',lambda q:q['hosting']['slots'].append(slot(q))) + reject('missing helper',lambda q:q['hosting']['slots'].pop()) + reject('owner replica does not match assignment',lambda q:q['calls'][0]['owners'][240].__setitem__(0,q['calls'][0]['owners'][240][0]+1200)) + reject('cross-replica data',lambda q:q['calls'][0]['owners'][0].__setitem__(0,1200)) + reject('wrong hosted coordinate',lambda q:q['calls'][0]['owners'][240][1].__setitem__(2,99)) + reject('helper changed to bank',lambda q:q['calls'][0]['owners'][240][1].__setitem__(0,'bank')) + reject('wrong call orientation',lambda q:q['calls'][0].__setitem__('orientation','reverse')) + reject('duplicate call',lambda q:q['calls'].__setitem__(1,q['calls'][0])) + reject('dropped final stage',lambda q:q.__setitem__('calls',[c for c in q['calls'] if c['stage']<10])) + reject('wrong idle rank',lambda q:next(e for e in q['schedule'] if e['kind']=='idle').__setitem__('rank',1)) + reject('omitted bridge',lambda q:q['schedule'].pop(next(i for i,e in enumerate(q['schedule']) if e['kind']=='bridge'))) + reject('wrong bridge sign',lambda q:next(e for e in q['schedule'] if e['kind']=='bridge').__setitem__('coefficient',-1)) + reject('omitted terminal exchange',lambda q:q['schedule'].pop()) + reject('understated live stock',lambda q:q.__setitem__('live',q['live']-1)) + reject('missing remainder summary',lambda q:q['hosting']['remainders'].pop(next(iter(q['hosting']['remainders'])))) + reject('wrong residual isometry',lambda q:q['residual_isometries'][0]['orthogonal_rows_numerator'][0].__setitem__(0,99)) + reject('omitted local instruction',lambda q:q['local_programs']['forward'].pop()) + reject('wrong reflected copy rank',lambda q:next(z for z in q['local_programs']['reverse'] if z[0]==2).__setitem__(5,0)) + res=dict(status='PASS_INDEPENDENT_ELEVEN_STAGE_HOSTING_AUDIT',template_sha256=th,emitted_program_sha256=digest, + emitted_events=count,profile={str(r):n for r,n in sorted(P.items())},live=DATA,physical=DATA+9,hosted_residuals=(L*R*T), + bank_assignments=0,rank_mass=sum(r*n for r,n in P.items()),deficit=408*T,maxchild=max(P),geometry_routes=1320, + halving_depth=3,physical_prefix_bits=prefix.bit_length(),charged_prefix_bits=g['charged_prefix_bits'],local_audit=local_result,mutations_rejected=controls) + (out/'AUDIT.json').write_text(json.dumps(res,indent=2)+'\n');print(json.dumps(res)) +if __name__=='__main__':main() diff --git a/research/tensor-syndrome-portfolio/bit470/code/emit.py b/research/tensor-syndrome-portfolio/bit470/code/emit.py new file mode 100644 index 0000000000..9eca66cb4b --- /dev/null +++ b/research/tensor-syndrome-portfolio/bit470/code/emit.py @@ -0,0 +1,285 @@ +# Eight-replica whole-family pooling by Rohan Arun with OpenAI Codex. Upstream notices retained. +# Kernel integration of PR436/PR386 by chafreaky, with OpenAI Codex assistance. +# Original copyright and attribution retained below. This variant uses explicit +# residual isometries and mixed-width banks; the original all-zero-start +# requirement is replaced by the verified kernel entrance contract. +"""Source-bound eleven-stage bit template with 8 independent replicas and no helper banks. +PR386 global identity and PR436 generalization by Zhihao Chen and eumemic, +with their disclosed OpenAI Codex and Anthropic Claude assistance, Apache-2.0. +PR439 explicit residual routes and this replication extension by chafreaky, +with OpenAI Codex assistance. All owner assignments and emitted calls are checked. +Historical PR386 regression is performed by the unchanged parent wrapper. +""" +import argparse, gzip, hashlib, json, struct, time, sys +from collections import Counter +from pathlib import Path +HERE=Path(__file__).resolve().parent +sys.path.insert(0,str(HERE.parents[1]/"vendor/runtime")) + +from bank_routes import validate_isometries +import hosting_core as HC + +H,L,K,T,M=8,11,5,8,78 +def sha(p): return hashlib.sha256(p.read_bytes()).hexdigest() +def write(p,x): p.write_text(json.dumps(x,indent=2)+'\n') + +def recipe(): + out=[dict(kind='local',stage=0,pair=0,reverse=False)]; stage=1 + for j in range(K): + out.append(dict(kind='local',stage=stage,pair=j,reverse=True)); stage+=1 + if j/2') + geo=json.loads((out/'GEOMETRY.json').read_text()) + assert geo['status']=='PASS_COMPRESSED_ELEVEN_BIT_GEOMETRY' + # the port routes depend only on the labels: same 120 label vectors, in the same order + assert len(geo['ports'])==V and all(p['port']==t and p['q']==w['lines'][t] for t,p in enumerate(geo['ports'])) + rp=a.local_check/'records/249-records.bin'; raw=rp.read_bytes(); rec=list(struct.iter_unpack('<6i',raw)) + state=json.loads((a.local_check/'records/249-states.json').read_text()) + fs=json.loads((a.local_check/'records/frames.json').read_text())['frames'] + dims={int(f):z['dim'] for f,z in fs.items()} + lg=json.loads((a.local_check/'cout/legality.json').read_text()) + cc=json.loads((a.local_check/'cout/columns.json').read_text()) + assert lg['status'].startswith('PASS') and cc['status'].startswith('PASS') + assert (state['v'],state['n'])==(V,LOCAL) and lg['copies']==lg['erasures']==9 + ADDS=lg['common_frame_ADDs'] + assert cc['formal_columns_checked']==4*V+R and cc['local_scalar_additions']==ADDS + initial=[state['initial'][str(i)] for i in range(LOCAL)] + final=[state['final'][str(i)] for i in range(LOCAL)] + assert all(dims[final[i]]==H for i in range(2*V,LOCAL)) + widths=[H-dims[initial[i]] for i in range(2*V,LOCAL)] + ENT=sum(H-z for z in widths) + NB=0;LIVE=DATA + assert T==8 and M==8+7*(L-1) + isometries=json.loads(a.isometries.read_text()) + assert validate_isometries(isometries,w['frames'],w['lines'],dims)==set(initial[2*V:]) + streams={}; checks={}; localH=None + for reverse in (False,True): + cur=(final if reverse else initial)[:]+[-1]; val=[1<=0 + cur[x]=newf + if f: hist[f]+=1 + events.append([0,x,oldf,newf,f,int(reverse)]) + elif op==1: + assert cur[x]==cur[y]==f and x!=y and x/2') + lines=[S.Matrix(x) for x in w['lines']]; I=S.eye(8); Z=S.zeros(8) + assert lines[0]==S.Matrix([2,0,0,0,0,0,0,0]) + ip=lambda u,v:(u.T*v)[0]/2 + gs={0:I}; todo=[0] + while todo: + more=[] + for i in todo: + for j in range(120): + if j in gs or abs(ip(lines[i],lines[j]))!=1: continue + d=lines[i]-lines[j] if ip(lines[i],lines[j])==1 else lines[i]+lines[j] + r=I-d*d.T/(d.T*d)[0]*2 + gs[j]=r*gs[i]; more.append(j) + todo=more + assert len(gs)==120 + recipes=[]; denoms=set(); max_factors=0 + for t,q in enumerate(lines): + g=gs[t]; assert g.T*g==I and g*lines[0] in (q,-q) + P=q*q.T/4; K=I-P; A=g[:,1:] + assert A.T*A==S.eye(7) and A*A.T==K and P*A==S.zeros(8,7) + rho=P.row_join(A).col_join(A.T.row_join(S.zeros(7))) + assert rho.T==rho and rho*rho==S.eye(15) + expected={'P':S.diag(I,S.zeros(7)), 'H':S.eye(15), + '0':S.diag(K,S.zeros(7)), 'K':S.diag(K,S.eye(7))} + for name,U in [('P',P),('H',I),('0',Z),('K',K)]: + assert rho*S.diag(U,S.eye(7))*rho==expected[name] + # Exact bit address operators D_U: head/tail exchange on U. + # Unlike complex C_U, they carry no omitted scalar/translation phase. + def D(U): return (I-U).row_join(U).col_join(U.row_join(I-U)) + assert D(I)*D(P)==D(K) and D(P)*D(P)==S.eye(16) + ops=factor(rho); max_factors=max(max_factors,len(ops)) + for typ,i,j,c in ops: + if c is not None: denoms.add(int(S.Rational(c).q)) + # Compact exact global matrices: these 15 axes are the first eight + # local coordinates and exterior block s. All other axes are fixed. + routes=[dict(stage=0,axes=list(range(8)),identity=True)] + for s in range(1,11): + axes=list(range(8))+list(range(8+7*(s-1),8+7*s)) + assert len(set(axes))==15 and max(axes)<78 + routes.append(dict(stage=s,axes=axes,elementary_inverse_replay=ops)) + recipes.append(dict(port=t,q=list(map(int,q)),complement_columns=[[str(x) for x in row] for row in A.tolist()], + rho15=[[str(x) for x in row] for row in rho.tolist()],routes=routes)) + if t%30==0: print('compressed geometry',t+1,flush=True) + # Exact nested data levels: local I (or K_q) plus s exterior rank-7 + # blocks. Width 78=8+10*7; each bridge sees identical complete operators. + idle=[] + for j in range(1,5): + idle += [dict(pair=j,source_level=-1,target_level=2*j-1,rank=14*j,phase='before_positive_bridge'), + dict(pair=j,source_level=2*j-1,target_level=2*j,rank=7,phase='before_negative_bridge')] + for j in range(5): + idle.append(dict(pair=j,source_level=2*j+2,target_level=10,rank=14*(4-j),phase='terminal')) + assert sum(z['rank'] for z in idle)==308 + # Every residual is hosted in a data family; no helper bank exists. + slots=[];perms=[] + out=dict(status='PASS_COMPRESSED_ELEVEN_BIT_GEOMETRY',h=8,m=78,stages=11, + word_sha256=digest(p),ports=recipes,idle_per_port_and_data_member=idle, + local_window='U direct_sum E_s, with E_s the first s exterior coordinate 7-blocks', + ambient_form='I_78/2',bank_slots=slots,bank_permutations=perms, + route_checks=1320,exact_bit_endpoint_operator_checks=240, + max_route_factors=max_factors,route_denominators=sorted(denoms), + bad_prime_factors=sorted({int(q) for d in denoms for q in S.factorint(d)}), + missing_route_factor_controls=120,bank_free=True, + scope='All port isometries, stage boundary identities, nested idle ranks, exact bit endpoint operators and coordinate embeddings. No residual banks are used. Full local-word scalar and chronological lowering are checked separately.') + dump(a.out/'GEOMETRY.json',out) + print(json.dumps({k:v for k,v in out.items() if k not in ('ports','bank_permutations','idle_per_port_and_data_member')}),flush=True) + +if __name__=='__main__': main() diff --git a/research/tensor-syndrome-portfolio/bit470/code/hosted_kernel.py b/research/tensor-syndrome-portfolio/bit470/code/hosted_kernel.py new file mode 100644 index 0000000000..5141bb2c1a --- /dev/null +++ b/research/tensor-syndrome-portfolio/bit470/code/hosted_kernel.py @@ -0,0 +1,40 @@ +"""PR417 response kernel with every local response and frame check retained. +Bank integrality is replaced by complete idle-host ownership in the global audit. +Generalization by chafreaky with OpenAI Codex assistance; Apache-2.0. +""" +from stages import Lat, to_masks, occurrences, Framer, mask_of, json + +def kernel(c, sel): + L = Lat(c['lines']); masks = to_masks(c, L); v = c['v']; n = 2 * v + c['R']; FULL = (1 << v) - 1 + occ = occurrences(c, masks) + gm = {(ph, k): masks[g[0]] for ph in ('D', 'A', 'B', 'C') for k, g in enumerate(c[ph])} + first = {} + for h in range(2 * v, n): + assert masks[c['start'][h]] == 0 + first[h] = next(x if kind == 'p' else gm[x] for kind, x in occ[h][1:] if (x if kind == 'p' else gm[x]) != 0) + resp = {} + for f, t, srcs in c['D']: + assert masks[f] == 0 + for s in srcs: resp[s] = resp.get(s, 0) ^ (1 << (t - v)) + ret = set(c['ret']); pivots = {}; donor_at = {}; tot = 0 + for E_lines, p, D in sel: + E = L.close(mask_of(E_lines)); assert E == mask_of(E_lines) and E != 0 + assert p not in ret and p not in pivots and p not in donor_at and 2 * v <= p < n + x = resp.get(p, 0) + for d in D: + assert d not in ret and d not in pivots and 2 * v <= d < n + assert donor_at.setdefault(d, E) == E, 'donor serves one entrance' + x ^= resp.get(d, 0) + assert x == 0, ('response relation fails', p) + for h in [p] + D: assert E & ~first[h] == 0, ('entrance not inside first frame', h) + pivots[p] = E; tot += L.dim(E) + assert not set(pivots) & set(donor_at) + out = json.loads(json.dumps(c)); fm = Framer(out) + for p, E in pivots.items(): out['start'][p] = fm.fid(E) + out['D'] = [[f, t, [s for s in srcs if s not in pivots]] for f, t, srcs in c['D']] + byd = {} + for E_lines, p, D in sel: + for d in D: byd.setdefault((d, mask_of(E_lines)), []).append(p) + out['A'] = [[fm.fid(E), d, sorted(ps)] for (d, E), ps in sorted(byd.items())] + out['A'] + out['C'] = out['C'] + [[fm.fid(FULL), d, sorted(ps)] for (d, E), ps in sorted(byd.items())] + return out, len(sel), tot, len(byd) diff --git a/research/tensor-syndrome-portfolio/bit470/code/hosting_core.py b/research/tensor-syndrome-portfolio/bit470/code/hosting_core.py new file mode 100644 index 0000000000..68b536daa9 --- /dev/null +++ b/research/tensor-syndrome-portfolio/bit470/code/hosting_core.py @@ -0,0 +1,138 @@ +"""Idle-axis hosting: place whole dirty-helper residuals on the pending coordinates of an idle data family. + +A data family that is advanced by an idle child from level a to level b receives the commuting coordinate factors of +that child. If the family is untouched (no local invocation on its pair and no bridge naming its pair) during an +interval of local invocations ending at the child, a helper residual of width w from an invocation inside that +interval may own w of those pending coordinates instead of a bank slot. The child keeps only the remaining +coordinates. This module computes the windows from the recipe and chooses, per replica, how many residuals of each +width each child hosts (exact integer programme), then expands that choice into explicit slot assignments. +Standard library plus scipy for the integer programme; the emitted assignment is re-checked without scipy.""" +import math +from collections import Counter, defaultdict + +def windows(schedule): + """schedule: ordered events dict(kind='local',stage,pair) | dict(kind='bridge',dst,src) | dict(kind='idle',pair,rank,idx). + Returns {idx: (pair, rank, frozenset(stages))} - stages whose invocation lies strictly between the last touch of + the pair and the idle child.""" + last = {}; out = {}; locals_ = [] + for pos, e in enumerate(schedule): + k = e['kind'] + if k == 'local': + locals_.append((pos, e['stage'], e['pair'])); last[e['pair']] = pos + elif k == 'bridge': + last[e['dst']] = pos; last[e['src']] = pos + elif k == 'idle': + p = e['pair']; lo = last.get(p, -1) + st = frozenset(s for q, s, pp in locals_ if lo < q < pos and pp != p) + out[e['idx']] = (p, e['rank'], st) # an idle child acts on other coordinates (or the other member): not a touch + return out + +def patterns(rank, widths, maxk=12): + """multisets of widths with sum <= rank (as sorted tuples)""" + ws = sorted(set(widths), reverse=True); res = [] + def rec(i, cur, s): + if i == len(ws): res.append(tuple(cur)); return + w = ws[i]; k = 0 + while s + k * w <= rank and len(cur) + k <= maxk: + rec(i + 1, cur + [w] * k, s + k * w); k += 1 + rec(0, [], 0) + return res + +def cost(r, m): + return r * math.log(m / r) if r else 0.0 + +def solve(win, copies, avail, m, pad_value=0.0, group=None): + """win: {idx: (pair, rank, stages)}; copies: piece copies per replica of each idx (2V); + avail: {(stage, width): count per replica}; maximise saved idle cost (+ pad_value per hosted residual). + group: optional {width: g} - remaining count of that width per stage must be a multiple of g (exact bank tiling). + Returns {(idx, pattern): copies} and {(idx, width, stage): count}.""" + import numpy as np + from scipy.optimize import milp, LinearConstraint, Bounds + widths = sorted({w for (_, w) in avail}) + var = []; index = {} + for idx, (p, r, st) in win.items(): + for pat in patterns(r, widths): + index[('y', idx, pat)] = len(var); var.append(('y', idx, pat)) + for w in widths: + for s in st: + if avail.get((s, w), 0): + index[('z', idx, w, s)] = len(var); var.append(('z', idx, w, s)) + stages = sorted({s for (s, _) in avail}) + if group: + for w, g in group.items(): + for s in stages: + index[('g', w, s)] = len(var); var.append(('g', w, s)) + n = len(var); c = np.zeros(n); integ = np.ones(n); lb = np.zeros(n); ub = np.full(n, np.inf) + for key, j in index.items(): + if key[0] == 'y': + _, idx, pat = key; r = win[idx][1]; c[j] = -(cost(r, m) - cost(r - sum(pat), m) + pad_value * len(pat)) + rows, lo, hi = [], [], [] + for idx in win: + row = np.zeros(n) + for key, j in index.items(): + if key[0] == 'y' and key[1] == idx: row[j] = 1 + rows.append(row); lo.append(copies); hi.append(copies) + for w in widths: + row = np.zeros(n) + for key, j in index.items(): + if key[0] == 'y' and key[1] == idx: row[j] = key[2].count(w) + if key[0] == 'z' and key[1] == idx and key[2] == w: row[j] = -1 + rows.append(row); lo.append(0); hi.append(0) + for (s, w), a in avail.items(): + row = np.zeros(n) + for key, j in index.items(): + if key[0] == 'z' and key[2] == w and key[3] == s: row[j] = 1 + if group and w in group: + row[index[('g', w, s)]] = group[w]; rows.append(row); lo.append(a); hi.append(a) # used + g*k = avail + else: + rows.append(row); lo.append(0); hi.append(a) + res = milp(c, constraints=LinearConstraint(np.array(rows), lo, hi), integrality=integ, bounds=Bounds(lb, ub), + options=dict(time_limit=600, disp=False)) + assert res.x is not None, res.message + x = [int(round(t)) for t in res.x] + ys = {(k[1], k[2]): x[j] for k, j in index.items() if k[0] == 'y' and x[j]} + zs = {(k[1], k[2], k[3]): x[j] for k, j in index.items() if k[0] == 'z' and x[j]} + return ys, zs, -res.fun + +def expand(win, ys, zs, helpers, V2): + """helpers: {stage: [(helper, width), ...]} for ONE replica; returns list of + (idx, copy, offset, width, stage, helper) and the remainder rank of every (idx, copy). + Copies of a piece are the 2V (side, port) data families; residuals packed from offset 0 in decreasing width.""" + pool = defaultdict(list) # (stage, width) -> helpers + for s, hs in helpers.items(): + for h, w in hs: pool[s, w].append(h) + for k in pool: pool[k].sort() + need = defaultdict(list) # (idx, width) -> stages multiset in deterministic order + for (idx, w, s), cnt in sorted(zs.items()): need[idx, w] += [s] * cnt + out = []; rem = {} + for idx in sorted(win): + pats = sorted([(pat, cnt) for (i, pat), cnt in ys.items() if i == idx], key=lambda t: (-sum(t[0]), t[0])) + copy = 0; ptr = Counter() + r = win[idx][1] + for pat, cnt in pats: + for _ in range(cnt): + off = 0 + for w in sorted(pat, reverse=True): + s = need[idx, w][ptr[idx, w]]; ptr[idx, w] += 1 + h = pool[s, w].pop(0) + out.append((idx, copy, off, w, s, h)); off += w + rem[idx, copy] = r - off; copy += 1 + while copy < V2: rem[idx, copy] = r; copy += 1 + return out, rem + +def save_selection(path, key, ys, zs, val): + """freeze the integer-programme choice (patterns per child, residual stages per child) for stdlib-only replay""" + import json + from pathlib import Path + p = Path(path); d = json.loads(p.read_text()) if p.exists() else {} + d[key] = dict(patterns=sorted([[i, list(pat), n] for (i, pat), n in ys.items()]), + stages=sorted([[i, w, s, n] for (i, w, s), n in zs.items()]), proxy_saving=val) + p.write_text(json.dumps(d, indent=1, sort_keys=True) + '\n') + +def load_selection(path, key): + import json + from pathlib import Path + d = json.loads(Path(path).read_text())[key] + ys = {(i, tuple(pat)): n for i, pat, n in d['patterns']} + zs = {(i, w, s): n for i, w, s, n in d['stages']} + return ys, zs, d['proxy_saving'] diff --git a/research/tensor-syndrome-portfolio/bit470/code/labels.py b/research/tensor-syndrome-portfolio/bit470/code/labels.py new file mode 100644 index 0000000000..9d649d090b --- /dev/null +++ b/research/tensor-syndrome-portfolio/bit470/code/labels.py @@ -0,0 +1,68 @@ +"""Physical frame-label checks and finite-address controls for target additions. +Address field F3, bit values F2: these are deliberately different fields. +The general shared-label proof is in PROOF.md; finite cases are controls. +Chafreaky with OpenAI Codex assistance; Apache-2.0. +""" +import gzip,hashlib,json,struct,sys +from collections import Counter +from itertools import product +from pathlib import Path +import sympy as S +ROOT=Path(__file__).resolve().parents[1] +recdir=Path(sys.argv[1]);word=json.loads(gzip.decompress((ROOT/'data/word.json.gz').read_bytes())) +fs=json.loads((recdir/'frames.json').read_text())['frames'];state=json.loads((recdir/'249-states.json').read_text()) +records=list(struct.iter_unpack('<6i',(recdir/'249-records.bin').read_bytes())) +selected=json.loads((ROOT/'data/mixing.json').read_text());v=word['v'];n=2*v+word['R'];current=[state['initial'][str(i)] for i in range(n)]+[-1] +want=Counter((ph,f,d,s) for phase,ph in [('D',1),('A',2),('B',4),('C',5)] for f,d,ss in word[phase] for s in ss if v<=s<2*v);seen=Counter();projectors={} +for op,a,b,c,f,z in records: + if op==0:assert current[a]==b;current[a]=c + elif op==1: + assert current[a]==current[b]==f + if v<=b<2*v: + assert v<=a<2*v and c==1;seen[z,f,a,b]+=1 + if f not in projectors: + B=S.Matrix(fs[str(f)]['B']) if fs[str(f)]['B'] else S.zeros(0,8) + P=B.T*(B*B.T).inv()*B if B.rows else S.zeros(8);I=S.eye(8) + D=(I-P).row_join(P).col_join(P.row_join(I-P)) + assert P.T==P and P*P==P and P.trace()==fs[str(f)]['dim'] and D*D==S.eye(16) + projectors[f]=D + elif op==2:assert b==n;current[n]=f + else:assert op==3 and b==n;current[n]=-1 +assert seen==want and sum(seen.values())>=112 +assert current[:n]==[state['final'][str(i)] for i in range(n)] + +q=3;m=2;addresses=list(product(range(q),repeat=2*m));index={x:i for i,x in enumerate(addresses)};N=len(addresses) +def permutation(P): + result=[] + for z in addresses: + x,y=z[:m],z[m:];delta=[sum(P[i][j]*(y[j]-x[j]) for j in range(m))%q for i in range(m)] + image=tuple((x[i]+delta[i])%q for i in range(m))+tuple((y[i]-delta[i])%q for i in range(m)) + result.append(index[image]) + assert sorted(result)==list(range(N)) and all(result[result[i]]==i for i in range(N)) + return result +perms={'zero':permutation([[0,0],[0,0]]),'coordinate':permutation([[1,0],[0,0]]), + 'diagonal':permutation([[2,2],[2,2]]),'full':permutation([[1,0],[0,1]])} +def label(bits,pa,pb): + answer=0 + while bits: + low=bits&-bits;i=low.bit_length()-1;bits-=low + j=pa[i] if i>N + return (left^right)|(right< 0 else 0 +Bb, Bd = c['B'][:sb], c['B'][sb:] +assert all(v <= d < 2 * v and all(s >= 2 * v for s in ss) for f, d, ss in Bd), 'B must be helper deliveries only' +assert not any(v <= s < 2 * v for ph in 'DAC' for f, d, ss in c[ph] for s in ss), 'no target operands in the input' +seq = defaultdict(list) +for i, (f, d, ss) in enumerate(Bd): seq[d].append((i, f, ss)) +def chain(t): + out = [] + for i, f, ss in seq[t]: + if not out or out[-1] != f: out.append(f) + return out +def chcost(frs, fin): + ds = [0] + [dim[f] for f in frs] + [dim[fin]] + return sum(cost(b - a) for a, b in zip(ds, ds[1:]) if b > a) +def pref(t, G): + m = Counter() + for i, f, ss in seq[t]: + if F[f] <= F[G]: + for s in ss: m[s] ^= 1 + return frozenset(k for k, b in m.items() if b) +T = range(v, 2 * v); orig = {t: chain(t) for t in T}; fin = {t: c['final'][t] for t in T} +for t in T: assert all(F[a] <= F[b] for a, b in zip(orig[t], orig[t][1:])), 'input target chains nested' +cands = [] +for u in T: + base = chcost(orig[u], fin[u]) + for w in T: + if w == u: continue + for G in orig[w]: + if not F[G] <= F[fin[u]]: continue + pu = pref(u, G) + if not pu or pu != pref(w, G): continue + rest = [f for f in orig[u] if not F[f] <= F[G]] + if not all(F[G] <= F[f] for f in rest): continue + sv = base - chcost([G] + rest, fin[u]) + if sv > 1e-9: cands.append((-sv, u, w, G)) +cands.sort() +mixfrom, mixG, donors = {}, {}, defaultdict(set) +def anc(t): + s = set() + while t in mixfrom: t = mixfrom[t]; s.add(t) + return s +for nsv, u, w, G in cands: + if u in mixfrom or u in anc(w): continue + if w in mixfrom or donors[u]: continue # f2cancel: forbid chained mixing (receiver as donor): the preconditioner/scatter fix is not exact for chains + if w in mixG and not F[mixG[w]] <= F[G]: continue + if any(not F[G] <= F[mixG[x]] for x in donors[u]): continue + mixfrom[u] = w; mixG[u] = G; donors[w].add(u) +saving = sum(chcost(orig[u], fin[u]) - chcost([mixG[u]] + [f for f in orig[u] if not F[f] <= F[mixG[u]]], fin[u]) for u in mixfrom) +order, seen = [], set() +def visit(u): + if u in seen: return + if u in mixfrom: visit(mixfrom[u]) + seen.add(u); order.append(u) +for u in sorted(mixfrom): visit(u) +recv = [u for u in order if u in mixfrom] +w2 = json.loads(json.dumps(c)) +w2['D'] = c['D'] + [[0, u, [mixfrom[u]]] for u in recv] +for u in recv: + w2['scatter'][u - v] = sorted(set(w2['scatter'][u - v]) ^ set(w2['scatter'][mixfrom[u] - v])) +drop = {i for u in recv for i, f, ss in seq[u] if F[f] <= F[mixG[u]]} +keep = [g for i, g in enumerate(Bd) if i not in drop] +newB = list(Bb) +for k in range(h + 1): + newB += [g for g in keep if dim[g[0]] == k] + newB += [[mixG[u], u, [mixfrom[u]]] for u in recv if dim[mixG[u]] == k] +w2['B'] = newB +w2['target_mix'] = dict(rule='y_u += y_w at frame G (after w reaches G); frame-0 preconditioner y_u += y_w; scatter_u ^= scatter_w', + receivers=[[u, mixfrom[u], mixG[u]] for u in recv]) +raw = json.dumps(w2, sort_keys=True, separators=(',', ':')).encode() +(gzip.open if sys.argv[2].endswith('.gz') else open)(sys.argv[2], 'wb').write(raw if not sys.argv[2].endswith('.gz') else raw) +print(json.dumps(dict(receivers=len(recv), mix_dims=dict(Counter(dim[mixG[u]] for u in recv)), target_climb_saving_per_call=round(saving, 3), + B_gates=[len(c['B']), len(newB)], D_gates=[len(c['D']), len(w2['D'])]))) diff --git a/research/tensor-syndrome-portfolio/bit470/code/row_bound.py b/research/tensor-syndrome-portfolio/bit470/code/row_bound.py new file mode 100644 index 0000000000..11d3c0d48e --- /dev/null +++ b/research/tensor-syndrome-portfolio/bit470/code/row_bound.py @@ -0,0 +1,47 @@ +"""Elementary orthogonal-cover row count; no exact group-order formula is needed. + +Over an odd finite field, diagonalize a nondegenerate d-dimensional symmetric +form. Fixing d-1 coordinates of a vector leaves a nonzero-coefficient quadratic +in the last coordinate; hence a prescribed nonzero norm has at most 2*q^(d-1) +solutions. The orthogonal complement of such a vector is nondegenerate. +Induction while choosing the images of a diagonal orthogonal basis gives +|O_m(q)| <= product(d=1..m, 2*q^(d-1)) = 2^m*q^(m*(m-1)/2). +Since q>=3, this is strictly below q^(m*(m+1)/2). Physical family stock adds +ceil(log_3(physical)) to this uniform exponent. The restored-row divisor +argument in PR234/PR386 multiplies it by the halving depth, then adds the +unchanged 9909 and 252 allowances. Routing-time bills still use m^2. + +This arithmetic checker verifies the exponent calculation and strict margins; +the preceding elementary induction is the all-q proof, not a finite q sample. +chafreaky with OpenAI Codex assistance, Apache-2.0. +""" +from fractions import Fraction + +def bound(m,physical,child,depth): + assert m>1 and physical>0 and 00 + assert m**depth>2*child**depth + overhead=0 + while 3**overhead<=physical:overhead+=1 + column_exponent=sum(d-1 for d in range(1,m+1)) + assert column_exponent==m*(m-1)//2 and 2**m<3**m + cover_exponent=column_exponent+m + stock_exponent=cover_exponent+overhead + assert physical<3**overhead and 2**m*physical<3**(m+overhead) + row=depth*stock_exponent+9909+252 + assert row<20161 and Fraction(10**6)-Fraction(51*20161,25)>0 + return dict(method='successive nonzero-norm vectors in nondegenerate complements', + minimum_q=3,column_exponent=column_exponent,factor_two_power=m, + cover_exponent=cover_exponent,physical_families=physical, + physical_exponent=overhead,stock_exponent=stock_exponent, + halving_depth=depth,complete_row_coefficient=row,retained_row_coefficient=20161) + +def controls(): + rejected=[] + for name,args in [('false two-level halving',(78,9609,56,2)), + ('understated row reserve',(100,9609,90,7))]: + try:bound(*args) + except AssertionError:rejected.append(name) + else:raise AssertionError('accepted '+name) + # The original coarse enumeration bound does NOT fit this retained row cap. + assert 3*(78**2+1)+9909+252==28416>20161 + return rejected diff --git a/research/tensor-syndrome-portfolio/bit470/data/kernel-selection.json b/research/tensor-syndrome-portfolio/bit470/data/kernel-selection.json new file mode 100644 index 0000000000..e464e87044 --- /dev/null +++ b/research/tensor-syndrome-portfolio/bit470/data/kernel-selection.json @@ -0,0 +1,1228 @@ +{ + "entries": [ + [ + [ + 0 + ], + 747, + [ + 814, + 776 + ] + ], + [ + [ + 0 + ], + 762, + [ + 799, + 776 + ] + ], + [ + [ + 0 + ], + 748, + [ + 814, 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"7721fa65c554b99e739b775e0015a46bb31d9afedd2172b0ad807e7cbf160757", + "candidate_sha256": "e60a092a57e71c848380ee27f0096b68c5050b18b2b5b9644d47478d76dae26c", + "gates": [ + 1197, + 2102, + 2111, + 2112, + 2117, + 2118, + 2407, + 2408, + 2411, + 2413, + 2465, + 2476, + 2523, + 2524, + 2538, + 2539, + 2581, + 2582, + 2599, + 2601, + 2639, + 2663 + ], + "mechanism": "immutable-source response-kernel packet deletion" +} diff --git a/research/tensor-syndrome-portfolio/code/algebra_constructor.py b/research/tensor-syndrome-portfolio/code/algebra_constructor.py new file mode 100644 index 0000000000..480e9af49b --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/algebra_constructor.py @@ -0,0 +1,60 @@ +"""Exact response-kernel packet deletion constructor. +Scalar/frame checker adapted from the existing prefix.py checker in tensor-normalization. +No floating-point arithmetic, network, native compilation, or third-party Python dependency. +""" +from pathlib import Path +from collections import Counter +from fractions import Fraction as Q +import argparse,copy,hashlib,json +SOURCE='e2ab3c0c4f25e78f96f14a548a795adaefda5bacbb01cd0ea61950f029aadf63' +GATES=[1426,2331,2340,2341,2346,2347,2636,2637,2640,2642,2694,2705,2752,2753,2767,2768,2810,2811,2828,2830,2868,2892] +from schur_constructor import check, rank + +def responses(z): + v=z['v'];n=2*v+z['R'];r=[0]*n + for t in range(v):r[v+t]=1<=2*z['v'] for e in z['A']) + assert all(z['v']<=e[1]<2*z['v'] for e in z['B']) + n=2*z['v']+z['R'];x=[1< 1 +# ---------------- complex: two moments and the parent's invoice with the hosted stock +PC = {int(r): n for r, n in ca['profile'].items()}; mc, WC = 89, ca['live']; EC = sum(PC.values()) +massc = sum(r * z for r, z in PC.items()); assert mc * WC - massc == 408 * ch['replicas'] +rc = M.certify(PC, mc, WC, True); b = Q(int(Q(rc['lower']) * 10 ** 18), 10 ** 18) +assert b>Q(prior['complex_lower']) +fbc = 32 * mc * mc * EC +l3, h3 = Other.moment(mc, WC, list(PC.items()), b); b3, bh3 = Other.moment(mc, WC, [(1, fbc)], b); assert h3 + bh3 / 10 ** 16 < 1 +bn=b+Q(1,10**18) +l4,h4=Other.moment(mc,WC,list(PC.items()),bn);b4,bh4=Other.moment(mc,WC,[(1,fbc)],bn);assert l4+b4/10**16>1 +physc=ch['physical'];Rc=560;v=120;hc=9;lc=11;tc=ch['replicas'];kc=5 +checks=ch['source_local_checks'];private_centers=ch['private_centers'] +compilerc=64*(mc+1)**3 +macros=max(z['scalar_macros'] for z in checks.values());children=sum(checks['forward']['paid_profile'].values()) +adapters=16*(macros+children+2*v+Rc+private_centers)+64*mc +local_bound=max(z['real_component_primitive_bound'] for z in checks.values())+16*Rc+adapters*compilerc +scalar_primitives=tc*((kc+1)*checks['forward']['real_component_primitive_bound']+kc*checks['backward']['real_component_primitive_bound']) +bridge_adds=6*(kc-1)*v*tc;terminal_shifts=kc*v*tc;terminal_moves=2*kc*v*tc +# Retain the full unhosted idle count as an overcharge, and charge all helper +# selectors plus two additional hosting factors per helper occurrence. +nonlocal_items=4*v*tc*lc+2*v*tc*lc+6*lc*tc*Rc+(6*kc-4)*v*tc+bridge_adds+terminal_shifts+terminal_moves+WC+physc +outside=8*nonlocal_items+64*mc +pervertex=scalar_primitives+bridge_adds+terminal_shifts+terminal_moves+WC+(lc*tc*adapters+outside)*compilerc+64*physc+lc*tc*Rc*16 +r_ = mc // 2; group = 2 ** (r_ * r_) * math.prod(2 ** (2 * i) - 1 for i in range(1, r_ + 1)); stock = group * physc +smass=group*massc;logical=group*pervertex+64;router=compilerc*(logical+1)*(stock+1)**2 +GG, EE, C0 = 1 << 30000, 1 << 100000, 1 << 210000; BB = smass + EE +literal = 2 * GG * stock ** 2 + 8 * smass + 4 * stock + 4 + 32 * mc +assert local_bound<1<<48 and logical<1<<6050 and router2*max(PC)**3 +assert (pervertex+1)**3*(EC+1)**3<1<<1024 +from complex_rows import bound as complex_row_bound, controls as complex_row_controls +complex_rows=complex_row_bound(stock.bit_length());complex_row_rejected=complex_row_controls() +rowc=complex_rows['retained_row_coefficient'] +ALLOW=max(ALLOW,rowc) +# ---------------- outer assembly exactly as #434's combined.py +eta = beta = Q(1, 10 ** 18); grid = Q(1, 10 ** 18); s = min(c, (1 - beta) * b) - Q(1, 10 ** 24) +assert 0 < s < c and s < (1 - beta) * b +chain = [Q(384599, 10 ** 10)]; cutoffs = [] +def ceil(x): return -((-x.numerator) // x.denominator) +for j in range(6): + old = chain[-1]; a = (1 - s) * s + s * old + gap = min(s - a, 1 - a - s, 1 - a - s * (1 - old), 1 - s); assert old < a < s < 1 - a and gap > 0 + cutoff = max(ceil(36 / gap ** 2), ceil(2 * (4 + charged_two) / gap)); assert cutoff * gap ** 2 >= 36 and cutoff * gap >= 2 * (4 + charged_two) + cutoffs.append(dict(gap=str(gap), cutoff_log2=str(cutoff))); chain.append(a) +q = chain[-1] * (1 - 2 * eta); margin = (1 - eta) * q / (1 + q); ticks = margin / grid; k = 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 * ALLOW, 25)}} +a = Outer.assembly(chain[-1], b, bridge, k, eta=eta, beta=beta) +assert len(a['strict_constraints']) == 47 and all(x > 0 for x in a['strict_constraints'].values()) +controls = [] +for name, kk, ee, bb in [('next_grid', k + grid, eta, beta), ('zero_eta', k, Q(0), beta), ('zero_beta', k, eta, Q(0)), ('unit_beta', k, eta, Q(1))]: + try: Outer.assembly(chain[-1], b, bridge, kk, eta=ee, beta=bb) + except AssertionError: controls.append(name) + else: raise AssertionError(name) +# kappa the bit supplier alone supports: the same bootstrap and strict assembly with a hypothetical complex saving b_hyp that does not bind +def bootstrap(s_): + ch = [Q(384599, 10 ** 10)] + for j_ in range(6): ch.append((1 - s_) * s_ + s_ * ch[-1]) + q_ = ch[-1] * (1 - 2 * eta); mg = (1 - eta) * q_ / (1 + q_); tk = mg / grid + return ch, grid * ((tk.numerator - 1) // tk.denominator) +b_hyp = c / (1 - beta) + Q(1, 10 ** 24); s_bit = min(c, (1 - beta) * b_hyp) - Q(1, 10 ** 24); assert s_bit < c +chain_bit, k_bit = bootstrap(s_bit) +a_bit = Outer.assembly(chain_bit[-1], b_hyp, bridge, k_bit, eta=eta, beta=beta) +assert len(a_bit['strict_constraints']) == 47 and all(x > 0 for x in a_bit['strict_constraints'].values()) and k_bit >= k +try: Outer.assembly(chain_bit[-1], b_hyp, bridge, k_bit + grid, eta=eta, beta=beta) +except AssertionError: pass +else: raise AssertionError('bit-only next grid point accepted') +parent_k = Q(prior['kappa']); ref_k = Q(opt['--parent-kappa']) if '--parent-kappa' in opt else parent_k +res = dict(status='PASS_CONDITIONAL_R740_REPLICATED_HOSTING_ASSEMBLY' if L == 9 else 'PASS_CONDITIONAL_%s_STAGE_HOSTED_ASSEMBLY' % {11: 'ELEVEN', 13: 'THIRTEEN', 7: 'SEVEN', 5: 'FIVE'}[L], kappa=str(k), kappa_decimal=format(float(k), '.18f'), + bit_lower=str(c), complex_lower=str(b), binding_component='bit' if c < (1 - beta) * b else 'complex', + gain_over_pr442_percent=float(100 * (k / parent_k - 1)), reference_kappa=str(ref_k), reference_label=opt.get('--label', '#442'), gain_over_reference_percent=float(100 * (k / ref_k - 1)), + halving_depth=DEPTH, external_row_allowance=ALLOW, bit_only_kappa=str(k_bit), bit_only_kappa_decimal=format(float(k_bit), '.18f'), bit_only_hypothetical_complex_b=str(b_hyp), + complex_profile=ca['profile'], complex_wrapper_extra_primitives_per_entry=lc*tc*Rc*16, bit=dict(live=W, physical=physical, maxchild=max(P), rank_mass=mass, hosted_residuals=audit['hosted_residuals'], + prefix_bits=prefix.bit_length(), charged_prefix_bits=charged_prefix, coefficient_bits=coefficient.bit_length(), prefix_method='Independent emitted physical-family row-L1 recurrence, including every bridge and invocation', + two_level_coefficient_bits=two.bit_length(), charged_two_level_coefficient_bits=charged_two, row_coefficient=row), + complex=dict(live=WC, physical=physc, maxchild=max(PC), rank_mass=massc, hosted_residuals=ch['hosted_residuals'], + physical_stock_bits=stock.bit_length(),router_bits=router.bit_length(),literal_bits=literal.bit_length(),row_coefficient=rowc,row_bound=complex_rows,local_bound=local_bound,pervertex=pervertex), + strict_outer_constraints={n: str(x) for n, x in a['strict_constraints'].items()}, outer_controls=controls, bootstrap=cutoffs, + bit_template_sha256=bg['template_sha256'], complex_template_sha256=ch['template_sha256'], emitted_program_sha256=bg['emitted_program_sha256'], bank_assignments=audit['bank_assignments'], bit_profile=audit['profile'], parent_kappa=str(parent_k), additional_interface='PR442 whole-family hosting; PR450 target-label lemma; full-nine-axis two-sided monomial transport; same-owner borrowed identity spectators; paid active complements; complete invocations',route_extra=ROUTE_EXTRA,dispatch_overhead=100000) +outp.write_text(json.dumps(res, indent=2) + '\n') +print(res['status'], res['kappa_decimal'], 'binding', res['binding_component'], 'gain over %s %.4f%%' % (res['reference_label'], res['gain_over_reference_percent'])) diff --git a/research/tensor-syndrome-portfolio/code/audit_portfolio.py b/research/tensor-syndrome-portfolio/code/audit_portfolio.py new file mode 100644 index 0000000000..67f47e2484 --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/audit_portfolio.py @@ -0,0 +1,181 @@ +"""Independent audit for whole residuals pooled across replicas. No cross-family splitting. +No generator/flow imports. Source-bound standard-library verification. +""" +from pathlib import Path +from collections import Counter,defaultdict +import json,gzip,hashlib,copy,sys +sys.dont_write_bytecode=True +read=lambda p:json.loads(Path(p).read_text()) +def load(p):return json.loads(gzip.decompress(Path(p).read_bytes())) +def audit(t,b,widths): + L,T,M=t['stages'],t['replicas'],t['m'];R=len(widths[0,0]);K=(L-1)//2;F=240*K;DATA=F*T + assert (L,T,M,R)==(11,8,78,715) and t['live']==DATA + mutable={'_expected_registry','version','live','banks_per_stage','hosting','helper_route','calls','schedule'} + assert set(t)==(set(b)-{'_expected_registry'})|{'hosting'} + assert {k:v for k,v in t.items()if k not in mutable}=={k:v for k,v in b.items()if k not in mutable} + schedule=copy.deepcopy(b['schedule']);j=0 + for e in schedule: + if e['kind']=='idle':e['idx']=j;j+=1 + assert t['schedule']==schedule + last={};local=[];win={};rank={};pair={};lo={};stagepair={} + for pos,e in enumerate(schedule): + if e['kind']=='local_cover_sweep':local.append((pos,e['stage'],e['pair']));last[e['pair']]=pos;stagepair[e['stage']]=e['pair'] + elif e['kind']=='bridge':last[e['dst']]=pos;last[e['src']]=pos + elif e['kind']=='idle': + i=e['idx'];win[i]={s for q,s,p in local if last.get(e['pair'],-1)0 and win[i]} + assert hs['banks_per_stage']=={str(s):0 for s in range(L)} and t['banks_per_stage']==hs['banks_per_stage'] + # Every physical coordinate is accounted globally, including distinct idle children. + occupied={};owned={};used=Counter();crossrep=0;crosschild=0;maxpieces=0 + for s,rep,h,segs in hs['pieces']: + assert 0<=s0 and o+w<=rank[i] + hostrep,rel=divmod(f,F);pp,port=divmod(rel,120);assert pp//2==pair[i] + for a in range(lo[i]+o,lo[i]+o+w): + assert 0<=a1 + assert set(owned)=={(s,rep,h)for s in range(L)for rep in range(T)for h in range(R)} + summaries={};paid=Counter();remainder=Counter() + for i,r in rank.items(): + if not r:continue + cc=Counter() + for rep in range(T): + for cp in range(240): + f=rep*F+pair[i]*240+cp;q=r-used[i,f];assert q>=0;cc[q]+=1 + if q:paid[q]+=1;remainder[q]+=1 + summaries[str(i)]={str(k):v for k,v in sorted(cc.items())} + assert hs['remainders']==summaries + assert len(t['calls'])==len(b['calls'])==L*T + seen=set();dg=hashlib.sha256();events=0 + for c,bc in zip(t['calls'],b['calls']): + assert {k:v for k,v in c.items()if k!='owners'}=={k:v for k,v in bc.items()if k!='owners'} + s,rep=c['stage'],c['replica'];assert(s,rep)not in seen;seen.add((s,rep)) + assert len(c['owners'])==240+R and c['owners'][:240]==bc['owners'][:240] + for h,o in enumerate(c['owners'][240:]): + z=owned[s,rep,h];assert o==[z[0][1],['hosted-whole-pool',z[0][0],z[0][2],z[0][3]]] + for z in t['local_programs'][c['orientation']]: + if z[0]==0 and z[4]:paid[z[4]]+=1 + if z[0]==2:paid[z[5]]+=1 + x=[z[0],c['owners'][z[1]]] + if z[0]==0:x.extend(z[2:]) + else:x.extend([c['owners'][z[2]]if z[2]<240+R else[DATA,['private',0]],*z[3:]]) + dg.update(json.dumps(x,separators=(',',':')).encode()+b'\n');events+=1 + assert M*DATA-sum(r*n for r,n in paid.items())==3264 and M**3>2*max(paid)**3 + return dict(profile={str(r):n for r,n in sorted(paid.items())},live=DATA,physical=DATA+9,hosted_residuals=len(owned),bank_assignments=0,split_residuals=sum(len(z)>1 for z in owned.values()),rank_mass=sum(r*n for r,n in paid.items()),deficit=3264,maxchild=max(paid),paid_calls=sum(paid.values()),cross_replica_residuals=crossrep,cross_child_residuals=crosschild,max_owner_pieces=maxpieces,physical_coordinates_checked=len(occupied),emitted_events=events,emitted_program_sha256=dg.hexdigest(),remainder_profile=dict(remainder)) +def scalar_dispatch(t): + L,T,R,V=11,8,715,120;K=5;n=2*K*V+L*R;loc=2*V+R;calls={(c['stage'],c['replica']):c for c in t['calls']};checked=0 + for rep in range(T): + vals=[1<=2+r['max_owner_pieces'] + controls=[] + def reject(name,fn): + q=copy.deepcopy(t);fn(q) + try:audit(q,b,widths) + except(AssertionError,KeyError,IndexError,TypeError):controls.append(name) + else:raise AssertionError('mutation accepted '+name) + pcs=lambda q:q['hosting']['pieces'];p0=lambda q:pcs(q)[0];z0=lambda q:p0(q)[3][0] + reject('omitted residual',lambda q:pcs(q).pop()) + reject('duplicate residual',lambda q:pcs(q).append(copy.deepcopy(p0(q)))) + reject('width changed',lambda q:z0(q).__setitem__(3,z0(q)[3]+1)) + reject('negative offset',lambda q:z0(q).__setitem__(2,-1)) + reject('out of stock family',lambda q:z0(q).__setitem__(1,9600)) + reject('changed child',lambda q:z0(q).__setitem__(0,999)) + reject('unaccounted foreign replica',lambda q:q['calls'][0]['owners'][240].__setitem__(0,9600)) + reject('omitted remainder',lambda q:q['hosting']['remainders'].pop(next(iter(q['hosting']['remainders'])))) + reject('stale stage count',lambda q:q.__setitem__('stages',9)) + reject('understated live stock',lambda q:q.__setitem__('live',9599)) + reject('changed parent scalar',lambda q:q['local_programs']['forward'][0].__setitem__(0,999)) + reject('wrong local source hash',lambda q:q['calls'][0].__setitem__('local_hash','0'*64)) + reject('wrong provider source hash',lambda q:q['hosting']['program_registry']['base'].__setitem__('word_sha256','0'*64)) + reject('wrong call orientation',lambda q:q['calls'][0].__setitem__('orientation','reverse')) + if variant_calls: + reject('wrong variant dispatch',lambda q:q['calls'][0].__setitem__('orientation','variant-forward')) + reject('extra variant dispatch record',lambda q:q['hosting']['variant_calls'].append([0,0])) + def outside(q): + p=p0(q);i=p[3][0][0];ss=set(q['hosting']['windows'][str(i)][2]);p[0]=next(s for s in range(11)if s not in ss) + reject('outside idle window',outside) + def alias(q): + ps=pcs(q);a=ps[0];b=next(p for p in ps[1:]if p[0]==a[0]and p[3][0][3]==a[3][0][3]);b[3][0]=copy.deepcopy(a[3][0]) + reject('cross-residual physical alias',alias) + def split(q): + z=z0(q);ww=z[3];assert ww>1;z[3]=1;p0(q)[3].append([z[0],z[1]+1,0,ww-1]) + reject('forbidden cross-family residual split',split) + + norms=[1]*r['live']+[0];bound=1;reg={(c['stage'],c['replica']):c for c in t['calls']};private=r['live'] + for e in t['schedule']: + if e['kind']=='local_cover_sweep': + for rep in range(t['replicas']): + c=reg[e['stage'],rep];own=c['owners'] + for op in t['local_programs'][c['orientation']]: + if op[0]==0:continue + x=own[op[1]][0];y=own[op[2]][0]if op[2]0 and win[i]} + assert hs['banks_per_stage']=={str(s):0 for s in range(L)} and t['banks_per_stage']==hs['banks_per_stage'] + # Every physical coordinate is accounted globally, including distinct idle children. + occupied={};owned={};used=Counter();crossrep=0;crosschild=0;maxpieces=0 + for s,rep,h,segs in hs['pieces']: + assert 0<=s0 and o+w<=rank[i] + hostrep,rel=divmod(f,F);pp,port=divmod(rel,120);assert pp//2==pair[i] + for a in range(lo[i]+o,lo[i]+o+w): + assert 0<=a1 + assert set(owned)=={(s,rep,h)for s in range(L)for rep in range(T)for h in range(R)} + summaries={};paid=Counter();remainder=Counter() + for i,r in rank.items(): + if not r:continue + cc=Counter() + for rep in range(T): + for cp in range(240): + f=rep*F+pair[i]*240+cp;q=r-used[i,f];assert q>=0;cc[q]+=1 + if q:paid[q]+=1;remainder[q]+=1 + summaries[str(i)]={str(k):v for k,v in sorted(cc.items())} + assert hs['remainders']==summaries + assert len(t['calls'])==len(b['calls'])==L*T + seen=set();dg=hashlib.sha256();events=0 + for c,bc in zip(t['calls'],b['calls']): + assert {k:v for k,v in c.items()if k!='owners'}=={k:v for k,v in bc.items()if k!='owners'} + s,rep=c['stage'],c['replica'];assert(s,rep)not in seen;seen.add((s,rep)) + assert len(c['owners'])==240+R and c['owners'][:240]==bc['owners'][:240] + for h,o in enumerate(c['owners'][240:]): + z=owned[s,rep,h];assert o==[z[0][1],['hosted-whole-pool',z[0][0],z[0][2],z[0][3]]] + for z in t['local_programs'][c['orientation']]: + if z[0]==0 and z[4]:paid[z[4]]+=1 + if z[0]==2:paid[z[5]]+=1 + x=[z[0],c['owners'][z[1]]] + if z[0]==0:x.extend(z[2:]) + else:x.extend([c['owners'][z[2]]if z[2]<240+R else[DATA,['private',0]],*z[3:]]) + dg.update(json.dumps(x,separators=(',',':')).encode()+b'\n');events+=1 + assert M*DATA-sum(r*n for r,n in paid.items())==3264 and M**3>2*max(paid)**3 + return dict(profile={str(r):n for r,n in sorted(paid.items())},live=DATA,physical=DATA+9,hosted_residuals=len(owned),bank_assignments=0,split_residuals=sum(len(z)>1 for z in owned.values()),rank_mass=sum(r*n for r,n in paid.items()),deficit=3264,maxchild=max(paid),paid_calls=sum(paid.values()),cross_replica_residuals=crossrep,cross_child_residuals=crosschild,max_owner_pieces=maxpieces,physical_coordinates_checked=len(occupied),emitted_events=events,emitted_program_sha256=dg.hexdigest(),remainder_profile=dict(remainder)) +def scalar_dispatch(t): + L,T,R,V=11,8,740,120;K=5;n=2*K*V+L*R;loc=2*V+R;calls={(c['stage'],c['replica']):c for c in t['calls']};checked=0 + for rep in range(T): + vals=[1<=2+r['max_owner_pieces'] + controls=[] + def reject(name,fn): + q=copy.deepcopy(t);fn(q) + try:audit(q,b,widths) + except(AssertionError,KeyError,IndexError,TypeError):controls.append(name) + else:raise AssertionError('mutation accepted '+name) + pcs=lambda q:q['hosting']['pieces'];p0=lambda q:pcs(q)[0];z0=lambda q:p0(q)[3][0] + reject('omitted residual',lambda q:pcs(q).pop()) + reject('duplicate residual',lambda q:pcs(q).append(copy.deepcopy(p0(q)))) + reject('width changed',lambda q:z0(q).__setitem__(3,z0(q)[3]+1)) + reject('negative offset',lambda q:z0(q).__setitem__(2,-1)) + reject('out of stock family',lambda q:z0(q).__setitem__(1,9600)) + reject('changed child',lambda q:z0(q).__setitem__(0,999)) + reject('unaccounted foreign replica',lambda q:q['calls'][0]['owners'][240].__setitem__(0,9600)) + reject('omitted remainder',lambda q:q['hosting']['remainders'].pop(next(iter(q['hosting']['remainders'])))) + reject('stale stage count',lambda q:q.__setitem__('stages',9)) + reject('understated live stock',lambda q:q.__setitem__('live',9599)) + reject('changed parent scalar',lambda q:q['local_programs']['forward'][0].__setitem__(0,999)) + reject('wrong local source hash',lambda q:q['calls'][0].__setitem__('local_hash','0'*64)) + reject('wrong provider source hash',lambda q:q['hosting']['program_registry']['base'].__setitem__('word_sha256','0'*64)) + reject('wrong call orientation',lambda q:q['calls'][0].__setitem__('orientation','reverse')) + if variant_calls: + reject('wrong variant dispatch',lambda q:q['calls'][0].__setitem__('orientation','variant-forward')) + reject('extra variant dispatch record',lambda q:q['hosting']['variant_calls'].append([0,0])) + def outside(q): + p=p0(q);i=p[3][0][0];ss=set(q['hosting']['windows'][str(i)][2]);p[0]=next(s for s in range(11)if s not in ss) + reject('outside idle window',outside) + def alias(q): + ps=pcs(q);a=ps[0];b=next(p for p in ps[1:]if p[0]==a[0]and p[3][0][3]==a[3][0][3]);b[3][0]=copy.deepcopy(a[3][0]) + reject('cross-residual physical alias',alias) + def split(q): + z=z0(q);ww=z[3];assert ww>1;z[3]=1;p0(q)[3].append([z[0],z[1]+1,0,ww-1]) + reject('forbidden cross-family residual split',split) + r['fresh_mixed_unbanked_scalar_replay']=scalar_dispatch(t) + r.update(status='PASS_INDEPENDENT_WHOLE_RESIDUAL_GLOBAL_POOL',template_sha256=g['template_sha256'],mutations_rejected=controls,route_extra_required=2+r['max_owner_pieces'],operator_identity='Each helper remains in one physical family. Same-family coordinate factorization and unchanged idle-window commutation; no family-space factorization.',scope='Finite changed owner, physical-coordinate, chronological-window, instruction and profile audit. Inherits dirty invocation and all-size compiler interfaces. No Lean certificate.') + out.write_text(json.dumps(r,indent=2)+'\n');print(json.dumps(r),flush=True) +if __name__=='__main__':main(*map(Path,sys.argv[1:])) diff --git a/research/tensor-syndrome-portfolio/code/borrowed_audit.py b/research/tensor-syndrome-portfolio/code/borrowed_audit.py new file mode 100644 index 0000000000..5a8745dd3b --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/borrowed_audit.py @@ -0,0 +1,134 @@ +"""Independent stdlib replay of whole-family footprint ownership and paid axes. +No import of the emitter or native optimizer. The whole9 packing is not the +invalid direct-sum replacement of a single helper by two smaller families. +""" +import json,gzip,hashlib,sys,copy +from pathlib import Path +from collections import Counter +canon=lambda x:json.dumps(x,sort_keys=True,separators=(',',':')).encode() +sha=lambda p:hashlib.sha256(Path(p).read_bytes()).hexdigest() +def read(p): + p=Path(p);b=p.read_bytes();return json.loads(gzip.decompress(b)if p.suffix=='.gz'else b) +def audit(t,phase,base,ka,source,variant_programs,variant_checks): + V,R,T,K,L,H=120,560,7,5,11,9;W=8400 + assert(t['m'],t['h'],t['replicas'],t['live'],t['stages'])==(89,H,T,W,L) + assert t['private_centers']==ka['private_centers']and t['physical']==W+R+ka['private_centers']+2 + assert t['source_bindings']==source + assert t['variant_stages']==list(range(11)) + assert t['provider_programs']=={'base':base['local_programs'],'kernel':variant_programs} + assert t['provider_checks']=={'kernel':variant_checks} + assert t['kernel_program_hashes']=={o:hashlib.sha256(canon(p)).hexdigest()for o,p in variant_programs.items()} + for ori,pp in variant_programs.items(): + assert t['kernel_program_hashes'][ori]==variant_checks[ori]['sha256'] + hh=Counter(z[-1]for z in pp if z[0]in('climb','center')) + assert dict(hh)=={int(r):n for r,n in ka['local_profile'].items()} + wrap=[z for z in pp if z[0]=='monomial-wrapper'];assert len(wrap)==158 + assert t['baseline_program_hashes']=={o:hashlib.sha256(canon(p)).hexdigest()for o,p in base['local_programs'].items()} + widths=ka['widths'];pivot=[h for h,w in enumerate(widths)if w==8] + assert t['kernel_pivot_helpers']==pivot and len(pivot)==79 + expected_profiles={'base':{'1':1912,'2':784,'3':168,'4':224,'5':392,'8':24},'kernel':ka['local_profile']} + assert t['local_profiles']==expected_profiles + expected_schedule=copy.deepcopy(base['execution_schedule']);expected_schedule[-1]['families']=[0,W];expected_schedule[-1]['charged_calls_per_cover']=W + assert t['execution_schedule']==expected_schedule + last={};local_positions=[];win={};idle={};stage_info={} + for pos,e in enumerate(t['execution_schedule']): + if e['kind']=='local': + s=e['stage'];assert s not in stage_info;stage_info[s]=e;last[e['pair']]=pos;local_positions.append((pos,s,e['pair'])) + elif e['kind']=='bridge':last[e['dst']]=pos;last[e['src']]=pos + elif e['kind']=='idle': + i,pair=e['idx'],e['pair'];assert i not in idle;idle[i]=e;lo=last.get(pair,-1) + ss={s for pp,s,p in local_positions if lo0 and x['active_hosted']>0) + test('omitted paid complement coordinate',lambda q:q['idle_children'][ix]['paid_complement_coordinates'].pop()) + test('forged complement rank',lambda q:q['idle_children'][ix].__setitem__('rank',t['idle_children'][ix]['rank']+1)) + test('dropped idle complement',lambda q:q['idle_children'].pop()) + test('dropped mandatory final translation',lambda q:q['execution_schedule'].pop()) + test('corrupted actual normalized program',lambda q:q['provider_programs']['kernel']['forward'].pop()) + test('corrupted invocation program hash',lambda q:q['calls'][ic].__setitem__('local_program_sha256','0'*64)) + test('changed inherited controller',lambda q:q['execution_schedule'][1].__setitem__('pair',4)) + test('borrowed spectator aliases active direction',lambda q:q['calls'][ic]['owners'][h][1].__setitem__(5,1)) + test('understated physical workspace',lambda q:q.__setitem__('physical',q['physical']-1)) + test('forged paid profile',lambda q:q['profile'].__setitem__('8',q['profile']['8']-1)) + got.update(template_sha256=hashlib.sha256(canon(t)).hexdigest(),source_bindings=sources,mutations_rejected=mut) + out.write_text(json.dumps(got,indent=2)+'\n');print(json.dumps(got,indent=2)) +if __name__=='__main__':main() diff --git a/research/tensor-syndrome-portfolio/code/borrowed_emit.py b/research/tensor-syndrome-portfolio/code/borrowed_emit.py new file mode 100644 index 0000000000..258c1e1b1d --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/borrowed_emit.py @@ -0,0 +1,90 @@ +"""Frozen kernel whole-nine-axis footprint construction. No compressed family aliases. +The local words and exact two-sided monomial wrapper are separate source-bound +providers. This file constructs their complete physical ownership and paid +active-complement partition, not an uncharged change of provider semantics. +""" +import json,gzip,hashlib,sys +from pathlib import Path +from collections import Counter,defaultdict,deque +canon=lambda x:json.dumps(x,sort_keys=True,separators=(',',':')).encode() +sha=lambda p:hashlib.sha256(Path(p).read_bytes()).hexdigest() +def read(p): + p=Path(p);b=p.read_bytes();return json.loads(gzip.decompress(b)if p.suffix=='.gz'else b) +def emit(selpath,basepath,phasepath,kernelpath,auditpath,wrappath,outpath,providerpath): + sel,base,phase,kernel,ka,wr=map(read,[selpath,basepath,phasepath,kernelpath,auditpath,wrappath]) + providerpath=Path(providerpath);vp=read(providerpath/'NORMALIZED-PROGRAMS.json.gz');vc=read(providerpath/'NORMALIZED-CHECKS.json');vword=read(providerpath/'CANONICAL-WORD.json.gz') + for ori,prog in vp.items(): + assert hashlib.sha256(canon(prog)).hexdigest()==vc[ori]['sha256'] + assert vc[ori]['all_columns']==800 and vc[ori]['wrapper_helpers']==79 + assert vc[ori]['paid_profile']==ka['local_profile'] + T=sel['replicas'];V,R,H,K,L=120,560,9,5,11;W=1200*T + assert T==7 + assert ka['canonical_word_sha256']==sha(kernelpath)and ka['all_target_rows_correct']and ka['all_live_source_and_helper_rows_restored'] + widths=[9-len(kernel['frames'][f])for f in kernel['start'][240:]];assert len(widths)==R and Counter(widths)=={9:481,8:79} + schedule=json.loads(json.dumps(base['execution_schedule']));schedule[-1]['families']=[0,W];schedule[-1]['charged_calls_per_cover']=W + win={int(i):(p,r,set(ss))for i,(p,r,ss)in base['hosting']['windows'].items()} + idle={e['idx']:e for e in schedule if e['kind']=='idle'} + expected_stages=set(range(11));assert{int(s)for s,n in sel['kernel_calls_perstage'].items()if n}==expected_stages + assert all(n in(0,T)for n in sel['kernel_calls_perstage'].values()) + stagequeue=defaultdict(deque) + for i,w,s,n in sel['stages']: + assert s in win[i][2] + stagequeue[i,w].extend([s]*n) + helpers={} + for s in range(L): + for w in(8,9):helpers[s,w]=deque((rep,h)for rep in range(T)for h in range(R)if (widths[h]if s in expected_stages else 9)==w) + slots=[];cpnext=Counter();active=defaultdict(set) + for i,pat,nn in sel['patterns']: + rr=win[i][1];assert sum(pat)<=rr and 9*len(pat)<=89 and pat.count(8)<=89-rr + for _ in range(nn): + cp=cpnext[i];cpnext[i]+=1 + for j,w in enumerate(pat): + off=sum(pat[:j]);s=stagequeue[i,w].popleft();rep,h=helpers[s,w].popleft() + slots.append([i,cp,off,9,w,s,rep,h]);active[i,cp].update(range(off,off+w)) + assert all(cpnext[i]==240*T for i in win)and not any(stagequeue.values())and not any(helpers.values()) + host={(s,rep,h):(i,cp,off,fp,w)for i,cp,off,fp,w,s,rep,h in slots};assert len(host)==L*T*R + profiles={'base':{int(r):n for r,n in sel['local_profile'].items()},'kernel':{int(r):n for r,n in ka['local_profile'].items()}} + bh={o:hashlib.sha256(canon(program)).hexdigest()for o,program in base['local_programs'].items()} + calls=[];paid=Counter();spectators=defaultdict(set);physical_slots=[];stage_owner_child={} + fullbasis={} + for port,rec in enumerate(phase['recipes']): + axes=set(a for ch in rec['idle_children']for a in ch['orthogonal_axes']);axes.add(rec['q']);assert len(axes)==89 + axes=sorted(axes);assert all((a&b).bit_count()%2==int(i==j)for i,a in enumerate(axes)for j,b in enumerate(axes));fullbasis[port]=axes + for e in schedule: + if e['kind']!='local':continue + s,p=e['stage'],e['pair'];ori='backward'if e['reverse']else'forward';provider='kernel'if s in expected_stages else'base' + for rep in range(T): + owners=[[rep*1200+(2*p+j//V)*V+j%V,[1,s,j%V]]for j in range(240)] + for h in range(R): + i,cp,off,fp,w=host[s,rep,h];hr,sp=divmod(cp,240);side,port=divmod(sp,120) + f=hr*1200+(2*win[i][0]+side)*120+port;ch=idle[i]['phase_children'][side];ax=phase['recipes'][port]['idle_children'][ch]['orthogonal_axes'];spec=None + assert (s,f)not in stage_owner_child or stage_owner_child[s,f]==i;stage_owner_child[s,f]=i + if w==8: + spec=next(a for a in fullbasis[port]if a not in ax and a not in spectators[s,f]);spectators[s,f].add(spec) + owners.append([f,[5,i,off,fp,w,spec]]);physical_slots.append([i,cp,off,fp,w,s,rep,h,spec]) + calls.append(dict(stage=s,replica=rep,pair=p,orientation=ori,provider=provider,owners=owners, + local_program_sha256=bh[ori]if provider=='base'else vc[ori]['sha256'], + local_word_sha256=sha(kernelpath)if provider=='kernel'else None, + wrapper_sha256=sha(wrappath)if provider=='kernel'else None)) + paid.update(profiles[provider]) + children=[] + for i,e in sorted(idle.items()): + for cp in range(240*T): + rep,sp=divmod(cp,240);side,port=divmod(sp,120);ch=e['phase_children'][side];ph=phase['recipes'][port]['idle_children'][ch] + complement=[k for k in range(e['rank'])if k not in active[i,cp]];rr=len(complement) + children.append(dict(idle=i,replica=rep,side=side,port=port,phase_child=ch,rank=rr, + active_hosted=e['rank']-rr,paid_complement_coordinates=complement,translation_after=ph['translation_after'])) + if rr:paid[rr]+=1 + assert dict(paid)=={int(r):n for r,n in sel['full_profile'].items()} + sources={k:sha(p)for k,p in zip(['selection','base_template','data_phase','kernel_word','kernel_local_audit','kernel_wrapper'],[selpath,basepath,phasepath,kernelpath,auditpath,wrappath])} + sources.update(kernel_normalized_programs=sha(providerpath/'NORMALIZED-PROGRAMS.json.gz'),kernel_normalized_checks=sha(providerpath/'NORMALIZED-CHECKS.json'),kernel_canonical_word=sha(providerpath/'CANONICAL-WORD.json.gz')) + t=dict(provider_programs={'base':base['local_programs'],'kernel':vp},kernel_program_hashes={o:z['sha256']for o,z in vc.items()},provider_checks={'kernel':vc},version='kernel-whole9-borrowed-spectator-v1',m=89,h=9,replicas=T,live=W,stages=L, + physical=W+R+len(vword['centers'])+2,private_centers=len(vword['centers']),local_profiles=profiles,execution_schedule=schedule,calls=calls,idle_children=children, + hosting=dict(windows={str(i):[p,r,sorted(ss)]for i,(p,r,ss)in win.items()},slots=physical_slots), + source_bindings=sources,baseline_program_hashes=bh,kernel_pivot_helpers=[h for h,w in enumerate(widths)if w==8], + variant_stages=sorted(expected_stages),profile=dict(sorted(paid.items())),rank_mass=sum(r*n for r,n in paid.items()),deficit=408*T, + route_decoder='kind5: active=child.orthogonal_axes[off:off+w]; footprint=active+[spectator] iff w8; sigma columns=footprint+sorted(full89basis-minusfootprint). Full basis is q plus union of idle orthogonal axes. Conjugate entire normalized helper by sigma, extend identity on remaining80; inherited cover route composes d*sigma^-1.',wrapper_placement='before and after the complete selected local word; full9 pre=R^-1, post=L^-1, same orientation convention as kernel wrapper certificate', + complement_rule='Every helper occupies all9 physical axes in one family. Rank8 activeblock lies in idlechild; ninth spectator is an actual orthogonal axis outside that child, reused only across complete sequential calls. Paid complement is exactly child minus activeblocks.', + scope='Exact physical ownership and paid partition. Local scalar/formal-column and two-sided Gaussian monomial certificates are source-bound separate providers; retained all-size/hosting interfaces remain conditional.') + assert 89*W-t['rank_mass']==t['deficit'];t=json.loads(json.dumps(t));b=canon(t);Path(outpath).write_bytes(gzip.compress(b,mtime=0));return dict(template_sha256=hashlib.sha256(b).hexdigest(),profile=t['profile'],calls=len(calls),whole9_slots=len(slots),variant_calls=sum(c['provider']=='kernel'for c in calls),sources=sources) +if __name__=='__main__':print(json.dumps(emit(*sys.argv[1:]),indent=2)) diff --git a/research/tensor-syndrome-portfolio/code/build-local.py b/research/tensor-syndrome-portfolio/code/build-local.py new file mode 100644 index 0000000000..41a77e9d69 --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/build-local.py @@ -0,0 +1,24 @@ +"""Build the changed E510 program using source-bound upstream scalar/emission code. +No network access. All paths are explicit CLI arguments. No global chdir. +""" +import argparse,gzip,json,hashlib,sys +from pathlib import Path +sys.dont_write_bytecode=True +p=argparse.ArgumentParser();p.add_argument('--word',type=Path,required=True);p.add_argument('--vendor',type=Path,required=True);p.add_argument('--routes',type=Path,required=True);p.add_argument('--clifford',type=Path,required=True);p.add_argument('--out',type=Path,required=True);p.add_argument('--skip-phase',action='store_true');a=p.parse_args();a.out.mkdir(parents=True,exist_ok=True) +word_bytes=a.word.read_bytes();word_bytes=gzip.decompress(word_bytes) if a.word.suffix=='.gz' else word_bytes;w=json.loads(word_bytes);raw=json.dumps(w,sort_keys=True,separators=(',',':')).encode();(a.out/'FULL-WORD.json.gz').write_bytes(gzip.compress(raw,mtime=0));sources={} +def run(name,changes,extra=None): + q=a.vendor/name;s=q.read_text();sources[name]=hashlib.sha256(q.read_bytes()).hexdigest() + for old,new in changes: + assert old in s,(name,old);s=s.replace(old,new,1) + ns={'__name__':'__main__','OUT':a.out,'ROUTES':a.routes};ns.update(extra or {});exec(compile(s,str(q),'exec'),ns) + # Runtime measurements are operational logs, never part of source identity. + report={'audit_cxg.py':'SCALAR-FRAME-AUDIT.json','phases_cxg.py':'CLIFFORD-REVIEW.json'}.get(name) + if report: + rp=a.out/report;rr=json.loads(rp.read_text());rr.pop('seconds',None);rp.write_text(json.dumps(rr,indent=2)+'\n') +run('audit_cxg.py',[("OUT=Path(os.environ.get('CXOUT','split-centres'));p=OUT/'FULL-WORD.json.gz'","p=OUT/'FULL-WORD.json.gz'"),("old=json.load(gzip.open('work/higher-stage-e8/verified/gcert1-e8-retimed.json.gz'))","old=json.load(gzip.open(ROUTES))")]) +run('emit_cxg.py',[("OUT=Path('split-centres');cp=OUT/'CANONICAL-WORD.json.gz'","cp=OUT/'CANONICAL-WORD.json.gz'")]) +sys.path.insert(0,str(a.clifford.parent));sources['clifford_exact.py']=hashlib.sha256(a.clifford.read_bytes()).hexdigest() +if not a.skip_phase:run('phases_cxg.py',[("sys.path.insert(0,str(Path('work/odd-stages').resolve()))","# exact module supplied by CLI"),("OUT=Path('split-centres');P=OUT/'CANONICAL-WORD.json.gz'","P=OUT/'CANONICAL-WORD.json.gz'")]) +manifest={'input_word_sha256':hashlib.sha256(word_bytes).hexdigest(),'sources':sources,'files':{q.name:hashlib.sha256(q.read_bytes()).hexdigest()for q in sorted(a.out.iterdir())if q.is_file() and q.name in ['FULL-WORD.json.gz','CANONICAL-WORD.json.gz','SCALAR-FRAME-AUDIT.json','LOCAL-PROGRAMS.json.gz','LOCAL-CHECKS.json','CLIFFORD-RECIPES.json','CLIFFORD-REVIEW.json']}};(a.out/'BUILD-RECEIPT.json').write_text(json.dumps(manifest,indent=2));print('BUILD COMPLETE',flush=True) + + diff --git a/research/tensor-syndrome-portfolio/code/complex_rows.py b/research/tensor-syndrome-portfolio/code/complex_rows.py new file mode 100644 index 0000000000..de90c214e7 --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/complex_rows.py @@ -0,0 +1,31 @@ +"""Fractional depth row bound: nine rank64 steps in dimension89 shrink by 16. +The inherited reserve contract charges stock bits once per actual recursion +level, plus the retained old-leaf and conversion slopes 9909+252. +Chafreaky with OpenAI Codex assistance. Apache-2.0. +""" +from fractions import Fraction as Q + +def bound(stock_bits,minimum_log2=32): + assert stock_bits==3929 + assert 89**9>16*64**9 + slope=Q(9,4)*stock_bits+9909+252;additive=9*stock_bits + gap=Q(20161)-slope + assert gap>0 and gap*minimum_log2>additive + # e < 2^minimum_log2 uses the retained small-leaf supplier; this cutoff is + # far below the already retained finite semantic guard 2^210000. + assert 02*64**3 + return dict(status='PASS_FRACTIONAL_DEPTH_ROW_RESERVE',block_steps=9,block_halvings=4, + exact_shrink_inequality=[89**9,16*64**9],stock_bits=stock_bits,row_slope=str(slope), + additive_stock_charge=additive,minimum_log2_width=minimum_log2,retained_row_coefficient=20161, + threshold_margin=str(gap*minimum_log2-additive),coarse_three_level_row=3*stock_bits+9909+252, + finite_three_level_halving=[89**3,2*64**3]) + +def controls(): + rejected=[] + assert 3*3929+9909+252>20161;rejected.append('coarse three-level row exceeds reserve') + assert 89**9<=32*64**9;rejected.append('nine steps do not guarantee five halvings') + try:bound(3929,30) + except AssertionError:rejected.append('insufficient row cutoff') + else:raise AssertionError('accepted insufficient row cutoff') + return rejected diff --git a/research/tensor-syndrome-portfolio/code/complex_whole_audit.py b/research/tensor-syndrome-portfolio/code/complex_whole_audit.py new file mode 100644 index 0000000000..4b0d23b1b5 --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/complex_whole_audit.py @@ -0,0 +1,69 @@ +"""Independent complete whole-residual complex routing audit (stdlib only).""" +from pathlib import Path +from collections import Counter +import gzip,hashlib,json,sys,copy +read=lambda p:json.loads(p.read_text()) +canon=lambda x:json.dumps(x,sort_keys=True,separators=(',',':')).encode() +sha=lambda p:hashlib.sha256(p.read_bytes()).hexdigest() +def audit(t,phase,source): + V,R,T,K,L,H=120,560,8,5,11,9 + assert(t['m'],t['live'],t['physical'])==(89,9600,10178) + assert t['selection_sha256']==source['selection_sha256'] + assert t['exact_data_phase_recipe_sha256']==source['phase_sha256'] + last={};locals_=[];win={};idle={} + for pos,e in enumerate(t['execution_schedule']): + if e['kind']=='local':last[e['pair']]=pos;locals_.append((pos,e['stage'],e['pair'])) + elif e['kind']=='bridge':last[e['dst']]=pos;last[e['src']]=pos + elif e['kind']=='idle': + pair=e['pair'];lo=last.get(pair,-1);st={s for q,s,p in locals_ if lo0 and sum(pat)<=r + for _ in range(nn): + assert cp<240*T;hostrep,localcp=divmod(cp,240);fam=hostrep*FAM+(2*pair+localcp//V)*V+localcp%V;off=0 + for ww in pat:slots[i,ww].append((fam,off));off+=ww + used[i,fam]=off;cp+=1 + assert cp==240*T + for (i,ww,ss),nn in sorted(counts.items()): + assert ss in win[i][2] + for _ in range(nn): + rep,hh=pool[ss,ww][cursor[ss,ww]];cursor[ss,ww]+=1 + fam,off=slots[i,ww].pop();assert(ss,rep,hh)not in pcs + pcs[ss,rep,hh]=[[i,fam,off,ww]] + assert not any(slots.values()) and all(cursor[k]==len(z)for k,z in pool.items()) and len(pcs)==L*T*R + for c in t['calls']: + s,rep=c['stage'],c['replica'];own=c['owners'][:240] + for h in range(R): + segs=pcs[s,rep,h];own.append([segs[0][1],['hosted-whole-pool',segs[0][0],segs[0][2],segs[0][3]]]) + c['owners']=own + paid=Counter() + for c in t['calls']: + for z in t['local_programs'][c['orientation']]: + if z[0]==0 and z[4]:paid[z[4]]+=1 + if z[0]==2:paid[z[5]]+=1 + rem={} + for e in t['schedule']: + if e['kind']!='idle' or not e['rank']:continue + i,r=e['idx'],e['rank'];rr=Counter(r-used[i,rep*FAM+win[i][0]*240+cp]for rep in range(T)for cp in range(240)) + rem[str(i)]={str(k):v for k,v in sorted(rr.items())} + for k,v in rr.items(): + if k:paid[k]+=v + t.update(version='whole-residual-global-replica-pooling-v1',live=DATA,banks_per_stage={str(s):0 for s in range(L)},helper_route='one whole residual in one idle family, assigned globally across replicas; full physical coordinates and windows audited',hosting=dict(program_registry=providers,legacy_top_source_fields_describe='base provider only; choose provider by the exact per-call orientation',variant_calls=sorted([list(x)for x in variant_calls]),windows={str(i):[p,r,sorted(ss)]for i,(p,r,ss)in win.items()},pieces=[[s,rep,h,z]for (s,rep,h),z in sorted(pcs.items())],remainders=rem,banks_per_stage={str(s):0 for s in range(L)})) + assert dict(paid)=={int(r):n for r,n in w['profile'].items()} + mass=sum(r*n for r,n in paid.items());assert M*DATA-mass==3264 + dg=hashlib.sha256();cnt=0 + for c in t['calls']: + for z in t['local_programs'][c['orientation']]: + mapped=[z[0],c['owners'][z[1]]] + if z[0]==0:mapped.extend(z[2:]) + else:mapped.extend([c['owners'][z[2]]if z[2]<240+R else [DATA,['private',0]],*z[3:]]) + dg.update((json.dumps(mapped,separators=(',',':'))+'\n').encode());cnt+=1 + tb=json.dumps(t,sort_keys=True,separators=(',',':')).encode();(out/'GLOBAL-TEMPLATE.json.gz').write_bytes(gzip.compress(tb,mtime=0)) + crossrep=sum(any(f//FAM!=rep for i,f,o,ww in segs)for (s,rep,h),segs in pcs.items());crosschild=sum(len({i for i,f,o,ww in segs})>1 for segs in pcs.values());maxpieces=max(map(len,pcs.values())) + g.update(program_registry=providers,legacy_source_fields_describe='base provider only; selected provider bound by per-call local_hash and hosting.program_registry',status='PASS_WHOLE_RESIDUAL_GLOBAL_POOL_GENERATOR',live=DATA,physical=DATA+9,template_sha256=hashlib.sha256(tb).hexdigest(),parent_template_sha256=g['template_sha256'],profile=dict(sorted(paid.items())),paid_calls=sum(paid.values()),rank_mass=mass,maxchild=max(paid),banks_per_stage_hosted={str(s):0 for s in range(L)},hosted_residuals=L*T*R,hosted_residuals_per_replica=L*R,split_residuals=sum(len(x)>1 for x in pcs.values()),bank_assignments=0,hosted_coordinates=sum(map(sum,widths.values())),emitted_program_sha256=dg.hexdigest(),emitted_events=cnt,halving_depth=3,halving_integer_inequality=[M**3,2*max(paid)**3],deficit=3264,cross_replica_residuals=crossrep,cross_child_residuals=crosschild,max_owner_pieces=maxpieces,route_extra_required=2+maxpieces,flow_sha256=sha(flow),generator_sha256=sha(Path(__file__))) + + norms=[1]*DATA+[0];pref=1;callmap={(c['stage'],c['replica']):c for c in t['calls']} + for e in t['schedule']: + if e['kind']=='local_cover_sweep': + for rep in range(T): + c=callmap[e['stage'],rep];own=c['owners'] + for z in t['local_programs'][c['orientation']]: + op=z[0] + if op==0:continue + x=own[z[1]][0];y=own[z[2]][0]if z[2]<240+R else DATA + if op==1:norms[x]+=abs(z[3])*norms[y] + elif op==2:norms[DATA]=norms[x] + else:assert op==3;norms[DATA]=0 + pref=max(pref,norms[x],norms[DATA]) + elif e['kind']=='bridge': + d,ss=e['dst'],e['src'] + for rep in range(T): + for port in range(V): + for x,y in [(rep*FAM+2*d*V+port,rep*FAM+2*ss*V+port),(rep*FAM+(2*ss+1)*V+port,rep*FAM+(2*d+1)*V+port)]:norms[x]+=norms[y];pref=max(pref,norms[x]) + assert norms[DATA]==0 + g.update(global_prefix_bound=str(pref),global_prefix_bits=pref.bit_length(),charged_prefix_bits=64*((pref.bit_length()+63)//64)) + (out/'GLOBAL.json').write_text(json.dumps(g,indent=2)+'\n');print(json.dumps({k:g[k]for k in ['profile','cross_replica_residuals','cross_child_residuals','max_owner_pieces','route_extra_required']}),flush=True) +if __name__=='__main__':emit(*map(Path,sys.argv[1:])) + diff --git a/research/tensor-syndrome-portfolio/code/emit_whole.py b/research/tensor-syndrome-portfolio/code/emit_whole.py new file mode 100644 index 0000000000..75bec034e6 --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/emit_whole.py @@ -0,0 +1,90 @@ +"""Whole-residual global replica-pool transport. One physical family per helper; no splitting. +Adapted operator/owner schema from PR442/448/450/453, Apache-2.0; +new stage-to-coordinate witness has explicit individual residual pieces. +""" +from pathlib import Path +from collections import Counter,defaultdict +import json,gzip,hashlib,sys,copy +sys.dont_write_bytecode=True +read=lambda p:json.loads(Path(p).read_text()) +sha=lambda p:hashlib.sha256(Path(p).read_bytes()).hexdigest() +def emit(parent,local,flow,out,variant=None): + out.mkdir(parents=True,exist_ok=False) + blob=gzip.decompress((parent/'GLOBAL-TEMPLATE.json.gz').read_bytes());t=json.loads(blob);g=read(parent/'GLOBAL.json');assert hashlib.sha256(blob).hexdigest()==g['template_sha256'] + w=read(flow);L,T,M,R=t['stages'],t['replicas'],t['m'],g['R'];V=120;K=(L-1)//2;FAM=2*K*V;DATA=FAM*T + assert (L,T,M,R)==(11,8,78,740) + st=read(local/'records/249-states.json')['initial'];fs=read(local/'records/frames.json')['frames'];width=[8-fs[str(st[str(h)])]['dim'] for h in range(240,240+R)] + canon=lambda x:hashlib.sha256(json.dumps(x,sort_keys=True,separators=(',',':')).encode()).hexdigest() + def registry(gg,tt,init):return dict(word_sha256=gg['word_sha256'],source_records_sha256=gg['source_records_sha256'],entrance_rank_total=gg['entrance_rank_total'],helper_start_frames=[init[str(h)]for h in range(240,240+R)],residual_isometries_sha256=canon(tt['residual_isometries']),local_hashes={ori:d['sha256']for ori,d in gg['local_checks'].items()}) + providers={'base':registry(g,t,st)} + widths={(ss,rep):width[:] for ss in range(L)for rep in range(T)};variant_calls=set(map(tuple,w.get('variant_calls',[]))) + if variant: + vst=read(variant/'records/249-states.json')['initial'];vfs=read(variant/'records/frames.json')['frames'];vw=[8-vfs[str(vst[str(h)])]['dim'] for h in range(240,240+R)] + for key in variant_calls: + assert key in widths;widths[key]=vw[:] + vt=json.loads(gzip.decompress((variant/'nine/GLOBAL-TEMPLATE.json.gz').read_bytes()));vg=read(variant/'nine/GLOBAL.json');providers['variant']=registry(vg,vt,vst);assert (vt['stages'],vt['replicas'],vt['m'])==(L,T,M) + for ori,pg in vt['local_programs'].items():t['local_programs']['variant-'+ori]=pg + for cc in t['calls']: + if (cc['stage'],cc['replica'])in variant_calls: + cc['local_hash']=vg['local_checks'][cc['orientation']]['sha256'];cc['orientation']='variant-'+cc['orientation'] + win={int(i):(p,r,set(ss))for i,(p,r,ss)in w['windows'].items()};counts={(i,ww,s):q for i,ww,s,q in w['stages']};assert len(counts)==len(w['stages']) + for ss in range(L): + for ww in {z for rr in widths.values() for z in rr}: + assert sum(q for (i,w2,s2),q in counts.items()if w2==ww and s2==ss)==sum(widths[ss,rep].count(ww)for rep in range(T)) + pool=defaultdict(list) + for ss in range(L): + for rep in range(T): + for hh in range(R):pool[ss,widths[ss,rep][hh]].append((rep,hh)) + cursor=Counter();pcs={};used=Counter();idx=0 + for e in t['schedule']: + if e['kind']=='idle':e['idx']=idx;idx+=1 + slots=defaultdict(list) + for i,(pair,r,ss)in sorted(win.items()): + cp=0 + for ii,pat,nn in w['patterns']: + if ii!=i:continue + assert nn>0 and sum(pat)<=r + for _ in range(nn): + assert cp<240*T;hostrep,localcp=divmod(cp,240);fam=hostrep*FAM+(2*pair+localcp//V)*V+localcp%V;off=0 + for ww in pat:slots[i,ww].append((fam,off));off+=ww + used[i,fam]=off;cp+=1 + assert cp==240*T + for (i,ww,ss),nn in sorted(counts.items()): + assert ss in win[i][2] + for _ in range(nn): + rep,hh=pool[ss,ww][cursor[ss,ww]];cursor[ss,ww]+=1 + fam,off=slots[i,ww].pop();assert(ss,rep,hh)not in pcs + pcs[ss,rep,hh]=[[i,fam,off,ww]] + assert not any(slots.values()) and all(cursor[k]==len(z)for k,z in pool.items()) and len(pcs)==L*T*R + for c in t['calls']: + s,rep=c['stage'],c['replica'];own=c['owners'][:240] + for h in range(R): + segs=pcs[s,rep,h];own.append([segs[0][1],['hosted-whole-pool',segs[0][0],segs[0][2],segs[0][3]]]) + c['owners']=own + paid=Counter() + for c in t['calls']: + for z in t['local_programs'][c['orientation']]: + if z[0]==0 and z[4]:paid[z[4]]+=1 + if z[0]==2:paid[z[5]]+=1 + rem={} + for e in t['schedule']: + if e['kind']!='idle' or not e['rank']:continue + i,r=e['idx'],e['rank'];rr=Counter(r-used[i,rep*FAM+win[i][0]*240+cp]for rep in range(T)for cp in range(240)) + rem[str(i)]={str(k):v for k,v in sorted(rr.items())} + for k,v in rr.items(): + if k:paid[k]+=v + t.update(version='whole-residual-global-replica-pooling-v1',live=DATA,banks_per_stage={str(s):0 for s in range(L)},helper_route='one whole residual in one idle family, assigned globally across replicas; full physical coordinates and windows audited',hosting=dict(program_registry=providers,legacy_top_source_fields_describe='base provider only; choose provider by the exact per-call orientation',variant_calls=sorted([list(x)for x in variant_calls]),windows={str(i):[p,r,sorted(ss)]for i,(p,r,ss)in win.items()},pieces=[[s,rep,h,z]for (s,rep,h),z in sorted(pcs.items())],remainders=rem,banks_per_stage={str(s):0 for s in range(L)})) + mass=sum(r*n for r,n in paid.items());assert M*DATA-mass==3264 + dg=hashlib.sha256();cnt=0 + for c in t['calls']: + for z in t['local_programs'][c['orientation']]: + mapped=[z[0],c['owners'][z[1]]] + if z[0]==0:mapped.extend(z[2:]) + else:mapped.extend([c['owners'][z[2]]if z[2]<240+R else [DATA,['private',0]],*z[3:]]) + dg.update((json.dumps(mapped,separators=(',',':'))+'\n').encode());cnt+=1 + tb=json.dumps(t,sort_keys=True,separators=(',',':')).encode();(out/'GLOBAL-TEMPLATE.json.gz').write_bytes(gzip.compress(tb,mtime=0)) + crossrep=sum(any(f//FAM!=rep for i,f,o,ww in segs)for (s,rep,h),segs in pcs.items());crosschild=sum(len({i for i,f,o,ww in segs})>1 for segs in pcs.values());maxpieces=max(map(len,pcs.values())) + g.update(program_registry=providers,legacy_source_fields_describe='base provider only; selected provider bound by per-call local_hash and hosting.program_registry',status='PASS_WHOLE_RESIDUAL_GLOBAL_POOL_GENERATOR',live=DATA,physical=DATA+9,template_sha256=hashlib.sha256(tb).hexdigest(),parent_template_sha256=g['template_sha256'],profile=dict(sorted(paid.items())),paid_calls=sum(paid.values()),rank_mass=mass,maxchild=max(paid),banks_per_stage_hosted={str(s):0 for s in range(L)},hosted_residuals=L*T*R,hosted_residuals_per_replica=L*R,split_residuals=sum(len(x)>1 for x in pcs.values()),bank_assignments=0,hosted_coordinates=sum(map(sum,widths.values())),emitted_program_sha256=dg.hexdigest(),emitted_events=cnt,halving_depth=3,halving_integer_inequality=[M**3,2*max(paid)**3],deficit=3264,cross_replica_residuals=crossrep,cross_child_residuals=crosschild,max_owner_pieces=maxpieces,route_extra_required=2+maxpieces,flow_sha256=sha(flow),generator_sha256=sha(Path(__file__))) + (out/'GLOBAL.json').write_text(json.dumps(g,indent=2)+'\n');print(json.dumps({k:g[k]for k in ['profile','cross_replica_residuals','cross_child_residuals','max_owner_pieces','route_extra_required']}),flush=True) +if __name__=='__main__':emit(*map(Path,sys.argv[1:])) + diff --git a/research/tensor-syndrome-portfolio/code/global_controller.py b/research/tensor-syndrome-portfolio/code/global_controller.py new file mode 100644 index 0000000000..f0bfa36a4f --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/global_controller.py @@ -0,0 +1,57 @@ +"""Bind and expand the complete borrowed-spectator controller against literal providers. +Exact local scalar/phase/wrapper proofs are replayed by their separate checkers. +This replay verifies their use at EVERY call and the inherited unchanged schedule. +""" +import sys,json,gzip,hashlib +from pathlib import Path +from collections import Counter +canon=lambda x:json.dumps(x,sort_keys=True,separators=(',',':')).encode() +def read(p): + p=Path(p);b=p.read_bytes();return json.loads(gzip.decompress(b)if p.suffix=='.gz'else b) +def main(template,physical_audit,checks_path,phase_path,global_path,audit_path): + t,a,checks=map(read,[template,physical_audit,checks_path]);ts=hashlib.sha256(canon(t)).hexdigest();assert a['template_sha256']==ts + assert t['physical']==t['live']+560+t['private_centers']+2 and t['private_centers']==16 + assert t['provider_checks']['kernel']==checks + phase=read(phase_path);route_digest=hashlib.sha256();basis={j:sorted(set([r['q']]+[v for ch in r['idle_children']for v in ch['orthogonal_axes']]))for j,r in enumerate(phase['recipes'])};idles={z['idx']:z for z in t['execution_schedule']if z['kind']=='idle'} + calls={(c['stage'],c['replica']):c for c in t['calls']};programs=t['provider_programs']['kernel'];n=0;dig=hashlib.sha256();counts=Counter();primitives=0;paid=Counter();invocations=[] + for e in t['execution_schedule']: + dig.update(canon(['controller',e])+b'\n') + if e['kind']!='local':continue + for rep in range(t['replicas']): + s=e['stage'];call=calls[s,rep];assert call['pair']==e['pair'];ori='backward'if e['reverse']else'forward';assert call['orientation']==ori and call['provider']=='kernel' + program=programs[ori];assert hashlib.sha256(canon(program)).hexdigest()==call['local_program_sha256']==checks[ori]['sha256'] + own=call['owners'] + for h,(fam,route)in enumerate(own[240:]): + kind,i,off,foot,w,spec=route;assert kind==5 and foot==9;pair=t['hosting']['windows'][str(i)][0];sp=fam%1200-2*pair*120;side,port=divmod(sp,120);ch=idles[i]['phase_children'][side];axes=phase['recipes'][port]['idle_children'][ch]['orthogonal_axes'];first=axes[off:off+w]+([spec]if w==8 else[]);sigma=first+[v for v in basis[port]if v not in first];assert len(sigma)==89 and set(sigma)==set(basis[port]);route_digest.update(canon([s,rep,h,fam,sigma])+b'\n') + pivot={r for r in range(240,800)if own[r][1][4]==8};entry=set();exit_=set();inbody=False;inexit=False;localpaid=Counter();localcounts=Counter() + for z in program: + tag=z[0];localcounts[tag]+=1 + if tag=='monomial-wrapper': + _,direction,r,frame,circuit=z;assert r in pivot and own[r][1][3]==9 and own[r][1][5]is not None + if direction=='entry':assert not inbody and r not in entry;entry.add(r) + else:assert direction=='exit'and inbody and r not in exit_;inexit=True;exit_.add(r) + row=[tag,direction,own[r],frame,circuit] + else: + assert not inexit;inbody=True + if tag=='phase':row=z + elif tag=='adapter':assert z[2]<240;row=[tag,z[1],own[z[2]],*z[3:]] + elif tag=='climb':row=[tag,z[1],own[z[2]],*z[3:]];localpaid[z[-1]]+=1 + elif tag=='center':row=[tag,[t['live']+z[1],['private_center',z[1]]],*z[2:]];localpaid[z[-1]]+=1 + else: + assert tag=='scalar';macro=[] + for x in z[1]: + if isinstance(x,list)and len(x)==2 and x[0]in('L','C'):macro.append(own[x[1]]if x[0]=='L'else[t['live']+x[1],['private_center',x[1]]]) + else:macro.append(x) + row=[tag,macro,z[2]] + dig.update(canon([s,rep,row])+b'\n');n+=1 + assert entry==exit_==pivot and len(pivot)==79 + assert dict(localpaid)=={int(r):nn for r,nn in checks[ori]['paid_profile'].items()} + assert len(program)==checks[ori]['events']and localcounts['scalar']==checks[ori]['scalar_macros'] + paid.update(localpaid);counts.update(localcounts);primitives+=checks[ori]['real_component_primitive_bound'];invocations.append([s,rep,ori,call['local_program_sha256']]) + for x in t['idle_children']: + if x['rank']:paid[x['rank']]+=1 + assert dict(paid)=={int(r):nn for r,nn in t['profile'].items()};assert len(invocations)==77 + assert route_digest.hexdigest()==a['orthogonal_route_decoder_sha256'] + g=dict(orthogonal_route_decoder_sha256=route_digest.hexdigest(),status='PASS_COMPLETE_BORROWED_SPECTATOR_CONTROLLER',template_sha256=ts,m=t['m'],live=t['live'],physical=t['physical'],stages=t['stages'],replicas=t['replicas'],hosted_residuals=len(t['hosting']['slots']),bank_assignments=0,profile=t['profile'],rank_mass=t['rank_mass'],deficit=t['deficit'],maxchild=max(map(int,t['profile'])),local_invocations=77,local_events=n,emitted_program_sha256=dig.hexdigest(),source_local_checks=checks,source_canonical_word_sha256=t['source_bindings']['kernel_canonical_word'],data_phase_sha256=t['source_bindings']['data_phase'],private_centers=t['private_centers'],actual_real_component_primitive_sum=primitives,actual_event_counts=dict(counts),wrapper_calls=counts['monomial-wrapper'],source_binding='Complete normalized79 programs at every call; exact source-bound inherited controller and data-phase recipe; independent local scalar/Clifford/512-column monomial and physical-borrowed proofs.') + Path(global_path).write_text(json.dumps(g,indent=2)+'\n');a.update(controller_status=g['status'],emitted_program_sha256=g['emitted_program_sha256'],local_events=n,private_centers=t['private_centers'],physical=t['physical'],live=t['live'],actual_real_component_primitive_sum=primitives,complete_invocation_registry_sha256=hashlib.sha256(canon(invocations)).hexdigest(),all_wrapper_placements_checked=True,no_unbilled_helper_adapters=True,source_local_checks=checks);Path(audit_path).write_text(json.dumps(a,indent=2)+'\n');print(json.dumps(g,indent=2)) +if __name__=='__main__':main(*sys.argv[1:]) diff --git a/research/tensor-syndrome-portfolio/code/independent_routes.py b/research/tensor-syndrome-portfolio/code/independent_routes.py new file mode 100644 index 0000000000..e6fb46e46a --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/independent_routes.py @@ -0,0 +1,25 @@ +"""Independent witness-only replay; does not import the producer or its checker.""" +from pathlib import Path +import gzip,json,hashlib,collections,sys +p,ph,out=map(Path,sys.argv[1:]);raw=p.read_bytes();t=json.loads(gzip.decompress(raw));b=ph.read_bytes();assert hashlib.sha256(b).hexdigest()==t['source_bindings']['data_phase'];phase=json.loads(b) +full=[] +for rec in phase['recipes']: + basis=sorted({rec['q']}|{x for e in rec['idle_children']for x in e['orthogonal_axes']});assert len(basis)==89 + assert all(((x&y).bit_count()&1)==(i==j)for i,x in enumerate(basis)for j,y in enumerate(basis));full.append(basis) +idle={e['idx']:e for e in t['execution_schedule']if e['kind']=='idle'};seen=set();act=set();comps=collections.defaultdict(set);count=collections.Counter();rh=hashlib.sha256() +for c in t['calls']: + for fam,route in c['owners'][240:]: + kind,i,off,foot,w,spec=route;assert kind==5 and foot==9 + within=fam%1200;pair,port=divmod(within,240);side,port=divmod(port,120);assert pair==idle[i]['pair'] + axes=phase['recipes'][port]['idle_children'][idle[i]['phase_children'][side]]['orthogonal_axes'];active=axes[off:off+w];assert len(active)==w + fp=active+([spec]if w==8 else[]);assert len(set(fp))==9 and set(fp)<=set(full[port]) + if w==8:assert spec not in axes + for a in fp:assert(c['stage'],fam,a)not in seen;seen.add((c['stage'],fam,a)) + for a in active:assert(fam,a)not in act;act.add((fam,a)) + sigma=fp+[a for a in full[port]if a not in fp];assert len(sigma)==len(set(sigma))==89 + rh.update(json.dumps([c['stage'],c['replica'],fam,sigma],separators=(',',':')).encode());comps[i,fam].update(active);count[w]+=1 +for c in t['idle_children']: + fam=c['replica']*1200+(2*idle[c['idle']]['pair']+c['side'])*120+c['port'];axes=phase['recipes'][c['port']]['idle_children'][c['phase_child']]['orthogonal_axes'];paid={axes[k]for k in c['paid_complement_coordinates']};a=comps[c['idle'],fam] + assert not(a&paid)and(a|paid)==set(axes)and len(paid)==c['rank'] +z=dict(status='PASS_INDEPENDENT_CANONICAL_ORTHOGONAL_COMPLETION_AND_PAID_AXIS_PARTITION',input_sha256=hashlib.sha256(raw).hexdigest(),canonical_template_sha256=hashlib.sha256(json.dumps(t,sort_keys=True,separators=(',',':')).encode()).hexdigest(),phase_sha256=hashlib.sha256(b).hexdigest(),canonical_route_sigma_stream_sha256=rh.hexdigest(),helpers_by_active_width=dict(count),whole_footprint_cells=len(seen),globally_disjoint_active_cells=len(act),scope='Independent direct read of delivered witness; canonical full89 routing matrix constructed perhelper, Gram follows checkedbasis permutation. No emitter/auditor imports. Scalar/provider and runtime evidence separate.') +out.write_text(json.dumps(z,indent=2));print(json.dumps(z,indent=2)) diff --git a/research/tensor-syndrome-portfolio/code/nested_constructor.py b/research/tensor-syndrome-portfolio/code/nested_constructor.py new file mode 100644 index 0000000000..60af63d653 --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/nested_constructor.py @@ -0,0 +1,33 @@ +"""Finite nested-donor flag constructor; full all-size interfaces remain conditional.""" +from pathlib import Path +import argparse,json,hashlib,copy +from schur_constructor import check,rank +canonical=lambda w:json.dumps(w,sort_keys=True,separators=(',',':')).encode() +def main(): + ap=argparse.ArgumentParser();ap.add_argument('source',type=Path);ap.add_argument('selection',type=Path);ap.add_argument('out',type=Path);a=ap.parse_args();assert not a.out.exists();raw=a.source.read_bytes();s=json.loads(a.selection.read_bytes());assert hashlib.sha256(raw).hexdigest()==s['source_sha256'];w=json.loads(raw);dims=[rank([w['lines'][i]for i in f])for f in w['frames']];before=check(w,dims);up={u['pivot']:u for u in s['upgrades']};head=s['source_kernel_rows'];pivs={r for r in range(2*w['v'],2*w['v']+w['R'])if w['start'][r]};assert all(all(r in pivs for r in ss)for f,t,ss in w['A'][:head]);assert not all(r in pivs for r in w['A'][head][2]);z=copy.deepcopy(w) + for p,u in up.items(): + old,new=u['old_frame'],u['new_frame'];assert w['start'][p]==old;assert set(w['frames'][old])=2*c['v'])] + assert not any(e[0]=='adapter'and e[2]>=2*c['v']for e in events) + programs[name]=pre+events+post;checks[name].update(raw_program_sha256=checks[name]['sha256'],sha256=digest(programs[name]),events=len(programs[name]),wrapper_helpers=len(helpers),helper_endpoint_adapter_markers_omitted=2*c['R'],wrapper_extra_real_component_primitive_bound=16*len(helpers),real_component_primitive_bound=checks[name]['real_component_primitive_bound']+16*len(helpers),wrapper_scope='16 real component primitives per AMBIENT scalar entry per changedhelper; in-place cycles using one complex temporary in existing coefficient workspace; no recursive Fourier child; full9 physical footprint') +raw=json.dumps(programs,sort_keys=True,separators=(',',':')).encode();(a.out/'NORMALIZED-PROGRAMS.json.gz').write_bytes(gzip.compress(raw,mtime=0));(a.out/'NORMALIZED-CHECKS.json').write_text(json.dumps(checks,indent=2));receipt=dict(status='EXACT_CANONICAL_ENTRANCE_NORMALIZATION',canonical_sha256=hashlib.sha256(a.canonical.read_bytes()).hexdigest(),raw_programs_sha256=hashlib.sha256(a.programs.read_bytes()).hexdigest(),normalized_programs_sha256=hashlib.sha256((a.out/'NORMALIZED-PROGRAMS.json.gz').read_bytes()).hexdigest(),clifford_sha256=hashlib.sha256(a.clifford.read_bytes()).hexdigest(),helpers=helpers,adapters=adapters,negative_controls=allcontrols,backward_convention='scalar inverse-transpose, same frame climbs; same helper Phi and wrappers',convention='column matrices; A.then(B)=B*A; Phi=T_FULL*T_E^-1; pre=R^-1,post=L^-1') +(a.out/'CANONICAL-WRAPPERS.json').write_text(json.dumps(receipt,indent=2));print('NORMALIZED PROGRAMS READY',len(helpers),'helpers',len(frames),'frames',flush=True) + + diff --git a/research/tensor-syndrome-portfolio/code/prefix.py b/research/tensor-syndrome-portfolio/code/prefix.py new file mode 100644 index 0000000000..ad7c5b495e --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/prefix.py @@ -0,0 +1,73 @@ +"""Exact finite interval target-factoring constructor (stdlib only). +Usage: python -B reconstruct.py SOURCE_WORD NEW_OUTPUT_DIRECTORY +Inherited all-size compiler, target-label, correlated-hosting and analytic contracts remain assumptions. +""" +from pathlib import Path +from collections import Counter +from fractions import Fraction as Q +import argparse,copy,hashlib,json +SOURCE='2da477f6743f463fbcdce8c2b56e5bbdf27575cb2127737715d8b987cae17a84' +EXPECTED='b866c92679031e010bb9732cb192ebe64509c8e34dd63797ab81f4b758b50d7f' +STEPS=[dict(u=122,d=123,start=0,end=178,setup_frame=0,recover_frame=813,remove=[[2,240]]),dict(u=210,d=123,start=1,end=62,setup_frame=0,recover_frame=534,remove=[[4,240]])] +def rank(a): + rows=[] + for aa in a: + r=list(map(Q,aa)) + for s in rows: + p=next(i for i,x in enumerate(s)if x) + if r[p]:q=r[p]/s[p];r=[x-q*y for x,y in zip(r,s)] + if any(r):rows.append(r) + return len(rows) +def rewrite(z,sel): + w=copy.deepcopy(z);B=[];cuts=[];rm=set(map(tuple,sel['remove'])) + for i,(f,d,ss)in enumerate(z['B']): + if i==sel['start']:cuts.append(len(B));B.append([sel['setup_frame'],sel['u'],[sel['d']]]) + src=[s for s in ss if(i,s)not in rm] + if src:B.append([f,d,src]) + if i==sel['end']:cuts.append(len(B));B.append([sel['recover_frame'],sel['u'],[sel['d']]]) + w['B']=B;return w,cuts +def check(z,dims): + v=z['v'];n=2*v+z['R'];frames=list(map(frozenset,z['frames']));cur=z['start'][:];x=[1<0;H[dr]+=1;cur[r]=f + def run(phase): + nonlocal target_reads + for k,(f,d,ss)in enumerate(z[phase]): + assert d>=v and d not in ss and len(ss)==len(set(ss)) + for r in [d]+ss:visit(r,f) + for s in ss: + assert set(supp[s])<=frames[f],('integer operand span',phase,k,s) + if v<=s<2*v:target_reads+=1 + x[d]^=x[s];supp[d].update(supp[s]) + if d>=2*v:assert set(supp[d])<=frames[f] + run('D');assert cur==z['start'];run('A');assert all(cur[t]==0 for t in range(v,2*v)) + cp=[x[r]for r in z['ret']] + for r in z['ret']:H[dims[cur[r]]]+=1 + for t,ss in enumerate(z['scatter']): + for k in ss:x[v+t]^=cp[k] + run('B');run('C') + for r,f in enumerate(z['final']):visit(r,f) + expected=[1<=2*z['v'] for e in z['A']);assert all(z['v']<=e[1]<2*z['v']for e in z['B']);a=response(z,old,z['A'][old][1]);b=response(z,at,gate[1]);assert a==b and a!=0 + dims=[rank([z['lines'][i]for i in f])for f in z['frames']];base=check(z,dims) + def rewrite(remove,insert): + w=copy.deepcopy(z);new=[] + for i,e in enumerate(z['A']): + if not(remove and i==old):new.append(e) + if insert and i==at:new.append(gate) + w['A']=new;w['C']=[[1,d,ss]for f,d,ss in reversed(new)];return w + w=rewrite(True,True);got=check(w,dims);delta={k:got['profile'].get(k,0)-base['profile'].get(k,0)for k in set(got['profile'])|set(base['profile'])};delta={k:v for k,v in delta.items()if v};assert delta=={1:-1,3:-1,4:1};controls={} + for label,remove,insert in [('deletion_without_reinsertion',True,False),('reinsertion_without_deletion',False,True)]: + try:check(rewrite(remove,insert),dims) + except AssertionError as e:controls[label]=str(e) + else:raise AssertionError('vacuous control: '+label) + assert all(w[k]==z[k]for k in z if k not in ('A','C')) + return w,dict(status='PASS_EXACT_RESPONSE_RETIMING',base=base,candidate=got,delta=delta,response_hex=hex(a),controls=controls,selection=s,scope='Finite helper/target formal columns, exact rational frame ranks, monotone routing and integer operand spans. Complete global/invoice/analytic interfaces remain separate.') +def main(): + ap=argparse.ArgumentParser();ap.add_argument('source',type=Path);ap.add_argument('selection',type=Path);ap.add_argument('out',type=Path);args=ap.parse_args();raw=args.source.read_bytes();s=json.loads(args.selection.read_bytes());assert hashlib.sha256(raw).hexdigest()==s['source_sha256'];assert not args.out.exists();w,r=construct(json.loads(raw),s);blob=canon(w);assert hashlib.sha256(blob).hexdigest()==s['candidate_sha256'];r.update(source_sha256=s['source_sha256'],candidate_sha256=s['candidate_sha256']);args.out.mkdir(parents=True);(args.out/'word.json').write_bytes(blob);(args.out/'RETIME-AUDIT.json').write_text(json.dumps(r,indent=2)+'\n');print(json.dumps(r)) +if __name__=='__main__':main() diff --git a/research/tensor-syndrome-portfolio/code/row_bound.py b/research/tensor-syndrome-portfolio/code/row_bound.py new file mode 100644 index 0000000000..11d3c0d48e --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/row_bound.py @@ -0,0 +1,47 @@ +"""Elementary orthogonal-cover row count; no exact group-order formula is needed. + +Over an odd finite field, diagonalize a nondegenerate d-dimensional symmetric +form. Fixing d-1 coordinates of a vector leaves a nonzero-coefficient quadratic +in the last coordinate; hence a prescribed nonzero norm has at most 2*q^(d-1) +solutions. The orthogonal complement of such a vector is nondegenerate. +Induction while choosing the images of a diagonal orthogonal basis gives +|O_m(q)| <= product(d=1..m, 2*q^(d-1)) = 2^m*q^(m*(m-1)/2). +Since q>=3, this is strictly below q^(m*(m+1)/2). Physical family stock adds +ceil(log_3(physical)) to this uniform exponent. The restored-row divisor +argument in PR234/PR386 multiplies it by the halving depth, then adds the +unchanged 9909 and 252 allowances. Routing-time bills still use m^2. + +This arithmetic checker verifies the exponent calculation and strict margins; +the preceding elementary induction is the all-q proof, not a finite q sample. +chafreaky with OpenAI Codex assistance, Apache-2.0. +""" +from fractions import Fraction + +def bound(m,physical,child,depth): + assert m>1 and physical>0 and 00 + assert m**depth>2*child**depth + overhead=0 + while 3**overhead<=physical:overhead+=1 + column_exponent=sum(d-1 for d in range(1,m+1)) + assert column_exponent==m*(m-1)//2 and 2**m<3**m + cover_exponent=column_exponent+m + stock_exponent=cover_exponent+overhead + assert physical<3**overhead and 2**m*physical<3**(m+overhead) + row=depth*stock_exponent+9909+252 + assert row<20161 and Fraction(10**6)-Fraction(51*20161,25)>0 + return dict(method='successive nonzero-norm vectors in nondegenerate complements', + minimum_q=3,column_exponent=column_exponent,factor_two_power=m, + cover_exponent=cover_exponent,physical_families=physical, + physical_exponent=overhead,stock_exponent=stock_exponent, + halving_depth=depth,complete_row_coefficient=row,retained_row_coefficient=20161) + +def controls(): + rejected=[] + for name,args in [('false two-level halving',(78,9609,56,2)), + ('understated row reserve',(100,9609,90,7))]: + try:bound(*args) + except AssertionError:rejected.append(name) + else:raise AssertionError('accepted '+name) + # The original coarse enumeration bound does NOT fit this retained row cap. + assert 3*(78**2+1)+9909+252==28416>20161 + return rejected diff --git a/research/tensor-syndrome-portfolio/code/schur_constructor.py b/research/tensor-syndrome-portfolio/code/schur_constructor.py new file mode 100644 index 0000000000..e74f728b33 --- /dev/null +++ b/research/tensor-syndrome-portfolio/code/schur_constructor.py @@ -0,0 +1,82 @@ +"""Pinned finite Schur target-interval constructor and exact replay. +Retains inherited all-size bit compiler/hosting/analytic interfaces. No optimizer, +network, external package or public-baseline verification is run here. +Rank and integer-support audit reused from our target-prefix constructor. +""" +from pathlib import Path +from collections import Counter,defaultdict +from fractions import Fraction as Q +import argparse,copy,gzip,hashlib,json +canon=lambda x:json.dumps(x,sort_keys=True,separators=(',',':')).encode() +def read(p): + b=Path(p).read_bytes();return json.loads(gzip.decompress(b)if str(p).endswith('.gz')else b) +def rank(a): + rows=[] + for aa in a: + r=list(map(Q,aa)) + for s in rows: + p=next(i for i,x in enumerate(s)if x) + if r[p]:q=r[p]/s[p];r=[x-q*y for x,y in zip(r,s)] + if any(r):rows.append(r) + return len(rows) +def check(z,dims): + v=z['v'];n=2*v+z['R'];frames=list(map(frozenset,z['frames']));cur=z['start'][:];x=[1<0;H[dr]+=1;cur[r]=f + def run(phase): + nonlocal target_reads + for k,(f,d,ss)in enumerate(z[phase]): + assert d>=v and d not in ss and len(ss)==len(set(ss)) + for r in [d]+ss:visit(r,f) + for s in ss: + assert set(supp[s])<=frames[f],('integer operand span',phase,k,s) + if v<=s<2*v:target_reads+=1 + x[d]^=x[s];supp[d].update(supp[s]) + if d>=2*v:assert set(supp[d])<=frames[f] + run('D');assert cur==z['start'];run('A');assert all(cur[t]==0 for t in range(v,2*v)) + cp=[x[r]for r in z['ret']] + for r in z['ret']:H[dims[cur[r]]]+=1 + for t,ss in enumerate(z['scatter']): + for k in ss:x[v+t]^=cp[k] + run('B');run('C') + for r,f in enumerate(z['final']):visit(r,f) + expected=[1< 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/tensor-syndrome-portfolio/engines/moment.py b/research/tensor-syndrome-portfolio/engines/moment.py new file mode 100644 index 0000000000..7d697cb452 --- /dev/null +++ b/research/tensor-syndrome-portfolio/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 + return dict(parameters=dict(a_bit=a,a_complex=b,tau=tau,sigma=sigma, + eta=eta,beta=beta,q=q,c=c,epsilon=eps,lambda_=lam, + lambda_prime=lp,alpha_squared_power=r,delta=delta, + C0=bridge['semantic']['C0'],C1=1,kappa=kappa), + strict_constraints=slacks,margins=margins,minimum_margin=minimum, + absorption_gap=minimum-kappa, + recurrence=dict(internal=internal,leaf=leaf,reservations=1-c)) diff --git a/research/tensor-syndrome-portfolio/inherited/ASSEMBLY.json b/research/tensor-syndrome-portfolio/inherited/ASSEMBLY.json new file mode 100644 index 0000000000..43db5fc2c1 --- /dev/null +++ b/research/tensor-syndrome-portfolio/inherited/ASSEMBLY.json @@ -0,0 +1,184 @@ +{ + "status": "PASS_CONDITIONAL_DUAL_ELEVEN_HOSTING_ASSEMBLY", + "kappa": "1265931727546219/1000000000000000000", + "kappa_decimal": "0.001265931727546219", + "bit_lower": "158442042752174644233/125000000000000000000000", + "complex_lower": "50725691867627/40000000000000000", + "binding_component": "bit", + "gain_over_pr445_percent": 0.2031290894521591, + "gain_over_pr447_percent": 0.006554694641092004, + "bit": { + "live": 9600, + "physical": 9609, + "maxchild": 56, + "rank_mass": 745536, + "hosted_residuals": 65120, + "prefix_bits": 153, + "charged_prefix_bits": 192, + "coefficient_bits": 153, + "three_level_coefficient_bits": 514, + "charged_three_level_coefficient_bits": 1024, + "row_coefficient": 19431 + }, + "complex": { + "live": 9600, + "physical": 10178, + "maxchild": 64, + "rank_mass": 851136, + "hosted_residuals": 49280, + "physical_stock_bits": 3929, + "router_bits": 11850, + "literal_bits": 37859, + "row_coefficient": 20161, + "row_bound": { + "status": "PASS_FRACTIONAL_DEPTH_ROW_RESERVE", + "block_steps": 9, + "block_halvings": 4, + "exact_shrink_inequality": [ + 350356403707485209, + 288230376151711744 + ], + "stock_bits": 3929, + "row_slope": "76005/4", + "additive_stock_charge": 35361, + "minimum_log2_width": 32, + "retained_row_coefficient": 20161, + "threshold_margin": "1751", + "coarse_three_level_row": 21948, + "finite_three_level_halving": [ + 704969, + 524288 + ] + }, + "row_controls": [ + "coarse three-level row exceeds reserve", + "nine steps do not guarantee five halvings", + "insufficient row cutoff" + ], + "local_bound": 18229432542300, + "pervertex": 1732352230176224, + "halving_depth": 3 + }, + "strict_outer_constraints": { + "bit_positive": "1267536342017397148765685681292446357279792682175983374473862049428167994128164254846659343724683905581672840271852028942607735552542831908893437050580053671190831433/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "complex_above_bit": "605954673277851234314318707553642720207317824016625526137950571832005871835745153340656275316094418327159728147971057392264447457168091106562949419946328809168567/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "complex_below_one_over32": "1199274308132373/40000000000000000", + "beta_positive": "1/1000000000000000000", + "beta_below_one": "999999999999999999/1000000000000000000", + "leaf_saving_above_bit": "605954673277849966172022016878642720207317824016625526137950571832005871835745153340656275316094418327159728147971057392264447457168091106562949419946328809168567/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "q_positive": "633768171008698573115306498628826029874210659795545329957138342538100622590220077995161677734177697944177076411242108889631027504419387011838982972747194926701978665919946328809168567/500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "q_below_internal": "1267536342017397148765685681292446357279792682175983374473862049428167994128164254846659343724683905581672840271852028942607735552542831908893437050580053671190831433/500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "q_below_leaf": "302977336638926250622353025836470125789340204454670042861657461899377409779922004838322265822302055822923588757891110368972495580612988161017027252805073298021334080053671190831433/500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "c_positive": "633768171008698698115306498628826029874210659795545329957138342538100622590220077995161677734177697944177076411242108889631027504419387011838982972747194926701978665919946328809168567/500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "c_below_one": 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research/tensor-syndrome-portfolio/research-notes/stage-inventory/INPUT11to1.json create mode 100644 research/tensor-syndrome-portfolio/research-notes/stage-inventory/PROOF.md create mode 100644 research/tensor-syndrome-portfolio/research-notes/stage-inventory/larger-replica-nomination.json create mode 100644 research/tensor-syndrome-portfolio/research-notes/stage-inventory/portfolio11to1-K5-T8.json create mode 100644 research/tensor-syndrome-portfolio/research-notes/stage-inventory/portfolio_screen.py create mode 100644 research/tensor-syndrome-portfolio/vendor/complex/clifford_exact.py diff --git a/research/tensor-syndrome-portfolio/RESEARCH.md b/research/tensor-syndrome-portfolio/RESEARCH.md new file mode 100644 index 0000000000..63d9b55494 --- /dev/null +++ b/research/tensor-syndrome-portfolio/RESEARCH.md @@ -0,0 +1,15 @@ +# Research record and mechanism scope + +The frozen sweep covers new PR479/480/481/482/483 and updated PR473/477, plus the other recent/updated heads listed in RECENT-PRS.json. Public constructions were read and downloaded, not all independently reverified. Seventeen diff-listed PR477 archive files returned404 and are listed explicitly; none is an implementation dependency. + +The selected crossover is response cosets from linear coding/control theory, combined with compiler register-allocation inventories. Equality modulo a response kernel allows a source injection to move between program positions while preserving each target response. Immutability of the source removes cross terms; rebuilt inverse cleanup restores arbitrary dirty helpers. The actual successful witness is simpler: a source addition commutes earlier past other additions into its receiver. This is a new finite witness in this construction, not a claim to invent retiming or establish literature priority. + +Nested donor flags give alternative local implementations with different residual-width inventories. Their value depends on which idle families are available at the invocation's stage. A local implementation with a weaker standalone score can improve the complete program if it tiles that stage's available families better. Earlier R740 portfolio work already admitted multiple providers; this package credits and adapts that mechanism to stage-selected R715 nested flags. It does not call the general portfolio idea new. + +New PR473 rational84 packing motivates a larger-replica comparison. A bounded native exact-objective nomination at84replicas gave only about5.9e-9 more bit saving than the analogous eight-replica two-provider candidate before response retiming. It is retained as discovery evidence, not an admitted additional gain. The smaller explicit eight-replica construction is the replay target. + +PR479 uses exact finite differences to stream chirp phases; PR481 batches Gaussian boundary right-hand sides with Strassen products. Both explicitly leave their selected kappa unchanged. Their accounting improvements cannot be added to this supplier's saving. PR482 transfers the R715 and target-factor word to a lower non-hosting construction; that alternative does not contribute an extra hosted saving here. PR480's higher cross-copy claim has a distinct disputed admission premise and is compared separately, without claiming this whole-owner construction exceeds it. + +The complex response screen finds14 opposite-response cancellation pairs and no paid-profile improvement, even when all are removed. Nested complex donor lifts in the screened family also yield no candidate. Exact finite screens and sufficient scope are retained; no universal impossibility claim follows. + +No new Lean certification. All inherited all-size supplier/compiler/hosting/analytic interfaces remain conditional. Both successful transformations must pass exact changed-component replay and a complete combined physical/invoice/outer assembly before any numerical result is labeled achieved. diff --git a/research/tensor-syndrome-portfolio/RESULT.json b/research/tensor-syndrome-portfolio/RESULT.json new file mode 100644 index 0000000000..983152d323 --- /dev/null +++ b/research/tensor-syndrome-portfolio/RESULT.json @@ -0,0 +1,178 @@ +{ + "status": "PASS_CONDITIONAL_ELEVEN_STAGE_HOSTED_ASSEMBLY", + "kappa": "1297375468897877/1000000000000000000", + "kappa_decimal": "0.001297375468897877", + "bit_lower": "1299060838562434397967/1000000000000000000000000", + "complex_lower": "1305231506267591/1000000000000000000", + "binding_component": "bit", + "gain_over_pr442_percent": 2.4838417955292136, + "reference_kappa": "1296606691405309/1000000000000000000", + "reference_label": "PR483", + "gain_over_reference_percent": 0.05929149507432908, + "halving_depth": 3, + "external_row_allowance": 20161, + 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"653249c07e2b43d2bef6b7909275d54bb9be02cc8c2a3f81af9a75dff147003e" +} diff --git a/research/tensor-syndrome-portfolio/research-notes/FINAL-NESTED-REVIEW.md b/research/tensor-syndrome-portfolio/research-notes/FINAL-NESTED-REVIEW.md new file mode 100644 index 0000000000..90e3d7848e --- /dev/null +++ b/research/tensor-syndrome-portfolio/research-notes/FINAL-NESTED-REVIEW.md @@ -0,0 +1,11 @@ +# Final independent nested-flag review + +Candidate SHA256:86ec5a244728e90714d545d0ecb8557346577f9e5c4a265b1cad844398ba4f02. Reviewed the actual ten-upgrade candidate and generalized constructor, not the preceding single-upgrade candidate. + +Independent checks pass:110 pivot response equations;110pivots disjoint from102donors;120 actual prefix rows with every chronological frame inclusion; scalar A followed by C equals identity on all955 source/target/helper columns. Independently checked all16 stored residual-isometry records, including exact orthogonality, exact entrance spans, complement dimensions, and their literal at-most-seven coordinate swaps. Total entrance rank129. Full checks and source hashes are in FINAL-NESTED-INDEPENDENT.json. + +The sufficient proof is uniform for any such nested schedule. Write the physical state at frame F as T_F times a logical register value. Each common-frame ADD acts by the corresponding scalar shear on logical values, while every admitted frame climb leaves that logical value unchanged. Therefore corrections for a single donor may occur at different nested frames. Global pivot/donor disjointness makes the logical correction shears commute; the actual checked order, rather than dimension order alone, establishes physical legality. The exact response relation for each pivot cancels its omitted compensation for arbitrary dirty initial values. Full-frame inverse corrections restore the helper logical state, giving endpoint T_FULL*T_E^-1. The stored coordinate isometry then identifies its bit residual with the complement transform of rank8-dim(E). + +The legacy hosted_kernel.py constructor rejects different donor entrance frames; this is its stronger construction guard and must not be cited as though it accepts the new witness. The new nested_constructor.py explicitly constructs and checks the nested schedule. The actual physical emitter and projector audit require common-frame ADDs, chronological nested projectors and exact residual isometries; they impose no equal-donor-entrance premise. This review found no additional interface assumption introduced by the generalized witness. + +Scope: independent mathematical/interface and exact finite review. Root separately binds native execution records, whole-owner packing, coefficient bounds and final analytic assembly. All inherited all-size compilation and analytic assumptions remain explicit; no unconditional multiplication theorem or fresh Lean certification is asserted. diff --git a/research/tensor-syndrome-portfolio/research-notes/NESTED-INDEPENDENT-REVIEW.md b/research/tensor-syndrome-portfolio/research-notes/NESTED-INDEPENDENT-REVIEW.md new file mode 100644 index 0000000000..3bd3cf0d36 --- /dev/null +++ b/research/tensor-syndrome-portfolio/research-notes/NESTED-INDEPENDENT-REVIEW.md @@ -0,0 +1,29 @@ +# Independent nested-entrance review + +Candidate SHA256 f6e176a24f5d53ea372da60dabc55556ab4b6808d4b7081322a39fa4f840eb72. + +Conclusion: the nested flag has a sufficient extension of the existing entrance-kernel proof and fits the actual common-frame physical emitter. It does not fit the older kernel-construction function without replacing that function's equal-entrance guard. No unchanged-public verification was repeated. + +## What changes + +Relative to warm+packet, only A and start differ. Pivot906 changes entrance9={line7} to293={line6,line7}; these lines are2e6,2e7. Its corrections into donors711 and904 occur at293. Donor711 first receives the lower-entrance corrections from749,781,796,823 at9, then906at293. The906correction into904 occurs directly at293. All later visits contain the current frame. + +The actual candidate has110pivots and102donors, globally disjoint. Its kernel prefix has103 grouped rows; the source prefix had102. The review recomputed all110 response equations from the actual centre/scatter and B plus the nonkernel A suffix. All equations hold. In particular response906=0x9900000002, response711=0xff00000000 and response904=0x6600000002, so their required XOR identity is exact. + +## Sufficient nested-prefix lemma + +For each register r let its logical unframed value be h_r, so its physical value at current frame F is T_F h_r. A pivot initially at E merely defines h_p=T_E^-1 times its arbitrary physical initial value; no extra transform is executed or assumed free. A common-frame ADD at F changes donor logical value by h_d<-h_d+h_p. Frame climbs carry T_F h_r to T_G h_r and preserve this logical meaning. + +Consequently a sequence of donor corrections can be placed at DIFFERENT nested frames: every correction induces exactly its scalar shear on logical values. Pivot/donor disjointness means these shears commute as logical maps. The chronological frame inclusions checked in the candidate establish legal physical execution of that chosen order. No dirty register is assumed zero; only the source-dependent clean-support component of the entrance correction is zero. + +For each pivot the response relation says its direct target contribution equals the XOR of its donor contributions. Hence its omitted zero-frame compensation is canceled by these corrections, independent of its entrance dimension. Full-frame inverse corrections restore the helpers' logical values. The full endpoint on that helper is therefore T_FULL*T_E^-1, with no affine leakage. In the bit supplier, commuting orthogonal projector transforms identify this with the complement transform D_(I-P_E). + +For E293 the exact coordinate permutation with row order[6,7,0,1,2,3,4,5] is orthogonal. It sends P_E to diag(1,1,0,0,0,0,0,0), and the residual to identity on the first2 coordinates plus the ordinary rank6 bit transform on the remaining6. The review checked these projector equations over exact rational numbers. A rows-numerator2/denominator2 encoding is exactly this permutation. + +## Legacy guard versus actual admission + +hosted_kernel.py line26 asserts donor_at.setdefault(d,E)==E. The nested construction violates that old sufficient construction restriction. Packaging must explicitly use the new constructor and lemma above, not assert the old function accepts it. + +The actual emitter reads the initial frame of every register, verifies each common-frame ADD and monotone frame edge, derives residual widths as8-dim(start), and validates one residual isometry per initial helper frame. local_audit.py separately checks rational projector nesting and complements. Neither imposes donor-equal-entrance as a semantic condition. Thus the guard is not a hidden hypothesis of those interfaces. + +Scope: this is an independent mathematical/interface review plus exact finite relation/projector checks. Root must bind the fresh native records, source hashes, residual isometry table, complete whole-owner packing and final analytic invoice. The review is not a new unconditional multiplication theorem or fresh Lean certification. diff --git a/research/tensor-syndrome-portfolio/research-notes/PREVIOUS-PROOF.md b/research/tensor-syndrome-portfolio/research-notes/PREVIOUS-PROOF.md new file mode 100644 index 0000000000..1ea9c43a99 --- /dev/null +++ b/research/tensor-syndrome-portfolio/research-notes/PREVIOUS-PROOF.md @@ -0,0 +1,13 @@ +# Fourteen complete target-interval substitutions on PR473 + +The source-bound construction changes only phase B of pinned PR473. For each of14 disjoint target pairs, replace receiver u by u+d at interval entry; replace its increment A by A+B, where B is the donor increment, cancelling common binary terms; restore with another donor addition at exit. For arbitrary dirty inputs, (u+d)+(A+B)+(d+B)=u+A. Intermediate receiver reads and current operand frames are part of the explicit finite checks, not assumed safe from the endpoint identity alone. + +The complete source-derived constructor checks all955 arbitrary-dirty columns, exact rational ranks, monotone frames and integer operand support. Deleting each setup or recovery fails (28 controls). The native legality and formal-column replay, exact Gram/projector audit and physical target-label checks establish the concrete frame interfaces used in this instance. See research-notes/current-target-proof.md. + +The local paid profile delta is -14[1]-14[4]+14[5], preserving rank mass. Strict subadditivity gives14*(5^p-4^p-1)<0 for every0

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Orthogonality cancels all quadratic cross terms; both sides fix the uniform vector.", + "mandatory": true, + "complete_small_cover_checks": [ + { + "n": 1, + "orthogonal_matrices": 1, + "nonzero_full_kernel_corrections": 0 + }, + { + "n": 2, + "orthogonal_matrices": 2, + "nonzero_full_kernel_corrections": 0 + }, + { + "n": 3, + "orthogonal_matrices": 6, + "nonzero_full_kernel_corrections": 0 + }, + { + "n": 4, + "orthogonal_matrices": 48, + "nonzero_full_kernel_corrections": 24 + }, + { + "n": 5, + "orthogonal_matrices": 720, + "nonzero_full_kernel_corrections": 600 + } + ] + }, + "global_phase_argument": "Every C_q and every linear address permutation fixes the uniform vector. Equality of the exact Z4 Fourier multiplier therefore fixes the scalar phase as well.", + "scope": "All compressed data boundary operators, idle children, terminal X_q and all-live cover correction. Internal arbitrary-subspace canonical labels are checked separately." +} \ No newline at end of file diff --git a/research/tensor-syndrome-portfolio/inputs/complex-reuse-pin.json b/research/tensor-syndrome-portfolio/inputs/complex-reuse-pin.json new file mode 100644 index 0000000000..c5e4f0a703 --- /dev/null +++ b/research/tensor-syndrome-portfolio/inputs/complex-reuse-pin.json @@ -0,0 +1,112 @@ +{ + "receipt_sha256": "cf3631c7bcd12a605e67ba846f65611f5bed713d053a75aff0045dbf029d8761", + "status": "PASS_TWO_LAYER_SCHUR_R715_COMPOSITION", + "implementation": { + "code/audit_whole.py": "4c6f2a4ebdba3f5ca5581c174c7367d4a75f06938904e23c7720a019c916ef5d", + "code/borrowed_audit.py": "5a5b236b4595f9979fbb3ce463051e317a63a39af0fb6e485897a97fe89ed1c1", + "code/borrowed_emit.py": "414c0ea9250fcf589ce529fec2e5f913308c4e6407653eecf81891fe830ca094", + "code/build-local.py": "fb2545225469444d29cbb8d14a9b519674805e17bd432b02936e3d6a9f56cef3", + "code/complex_rows.py": 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