diff --git a/.github/workflows/complex-trace-rank5.yml b/.github/workflows/complex-trace-rank5.yml new file mode 100644 index 0000000000..b8a096ff3c --- /dev/null +++ b/.github/workflows/complex-trace-rank5.yml @@ -0,0 +1,35 @@ +name: Complex trace rank-five certificate + +on: + pull_request: + paths: + - 'research/complex-trace-rank5/**' + - '.github/workflows/complex-trace-rank5.yml' + workflow_dispatch: + +permissions: + contents: read + +jobs: + verify: + runs-on: ubuntu-latest + timeout-minutes: 20 + strategy: + matrix: + python: ['3.11', '3.14'] + steps: + - uses: actions/checkout@v4 + - uses: actions/setup-python@v5 + with: + python-version: ${{ matrix.python }} + - name: Reconstruct, admit and assemble + run: python -B research/complex-trace-rank5/verify.py --work "$RUNNER_TEMP/rank5-replay" + - uses: actions/upload-artifact@v4 + if: always() + with: + name: rank5-receipts-${{ matrix.python }} + path: | + ${{ runner.temp }}/rank5-replay/*.json + ${{ runner.temp }}/rank5-replay/*.log + ${{ runner.temp }}/rank5-replay/physical/RECEIPT.json + ${{ runner.temp }}/rank5-replay/physical/RESULT.json diff --git a/research/complex-trace-rank5-replay/ASSEMBLY-CONTROLS.json b/research/complex-trace-rank5-replay/ASSEMBLY-CONTROLS.json new file mode 100644 index 0000000000..dc42d69db2 --- /dev/null +++ b/research/complex-trace-rank5-replay/ASSEMBLY-CONTROLS.json @@ -0,0 +1,35 @@ +{ + "status": "PASS_EXACT_ASSEMBLY_ADMISSION_NEGATIVE_CONTROLS", + "valid_receipt_kappa": "397761416533549/250000000000000000", + "input_sha256": { + "owner_audit": "51a36870c4adf1151dcfee883ab47d5fa3dce17f7e056d84d03f847a00031396", + "fresh_invoice": "1cc163a649d4177769e67198d588d1e5aab31988593543d1e60540abb1e66855", + "inputs/PR543-EXPECTED.json": "06eccee9f6b77e140833df83407e7996dc948c17d49b0779ab171fbe463fd28d", + "engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482", + "engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098", + "engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c" + }, + "assembler_sha256": "58ca07fd72c6ab605e94eb5dda44989cf48437f9fade913cccc192b14b4fc60e", + "rejected_controls": [ + "empty_certification_maps", + "missing_backward_orientation", + "failed_status_zero_sweeps", + "nonboolean_precision_check", + "wrong_owner_role_count", + "understated_physical_stock", + "changed_profile_same_rank_mass", + "insufficient_finite_C0", + "unpaid_scalar_primitive", + "wrong_local_artifact_binding", + "false_dirty_restoration", + "missing_finite_check", + "wrong_owner_receipt_hash" + ], + "exact_outer_controls": [ + "next_grid", + "zero_eta", + "zero_beta", + "unit_beta" + ], + "scope": "Mutation controls for receipt completeness, both orientations, literal work/stock, profile and hash binding. Does not replace the fresh physical replay." +} diff --git a/research/complex-trace-rank5-replay/ASSEMBLY.json b/research/complex-trace-rank5-replay/ASSEMBLY.json new file mode 100644 index 0000000000..baea2648a4 --- /dev/null +++ b/research/complex-trace-rank5-replay/ASSEMBLY.json @@ -0,0 +1,182 @@ +{ + "status": "PASS_FRESH_TRACE_EXPANSION_EXACT_ASSEMBLY", + "kappa": "397761416533549/250000000000000000", + "kappa_decimal": "0.001591045666134196", + "complex_lower": "398395281619778713553/250000000000000000000000", + "complex_decimal": "0.001593581126479114854212", + "bit_lower": "413456747036699736067/250000000000000000000000", + "bit_decimal": "0.001653826988146798944268", + "binding": "complex", + "gain_over_pinned547_percent": "0.003866223222239942260003659869157040547161650404264213539003933392531917", + "complex_profile": { + "1": 164520, + "2": 33208, + "3": 36987, + "4": 12168, + "5": 4032, + "6": 4032, + "7": 208, + "8": 576, + "39": 1, + "48": 1660 + }, + "template_sha256": 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All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic transfer remain assumptions. No unconditional theorem or full Lean certification." +} diff --git a/research/complex-trace-rank5-replay/PHYSICAL-RECEIPT.json b/research/complex-trace-rank5-replay/PHYSICAL-RECEIPT.json new file mode 100644 index 0000000000..19d8a5b896 --- /dev/null +++ b/research/complex-trace-rank5-replay/PHYSICAL-RECEIPT.json @@ -0,0 +1,91 @@ +{ + "status": "PASS_FRESH_COMPLEX_ONLY_FULL_PHYSICAL_ADMISSION", + "source_pins_sha256": "a493ab503c3d19d94375e6fa0f3595918d81c6667623f58f889b0e2854a178bb", + "harness_sha256": "3fc8ae0963ab8223ae6b33e5e6f4967192df8e15d4f7ee756c93c1743efd54dd", + "stages": [ + { + "name": "complex-scalar-frame-transport", + "exit_code": 0, + "seconds": 0.6983480419730768, + "script": "vendor/pr531/code/audit_and_transport.py", + "script_sha256": "a4fc272266785e1fffd44775c6fa6df783c4352de4c3f1d925cf953a23b84e7f", + "log_sha256": "6b97a31b7df55cb9c898bb9cfd3d64d5d27daf1d4659ccbf59fe8b9daad7c373" + }, + { + "name": "complex-emit-local", + "exit_code": 0, + "seconds": 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[Clang 17.0.0 (clang-1700.3.19.1)]", + "scope": "Finite complex-only admission. No bit replay or outer assembly is claimed here; retained all-size, common-label, hosting and analytic contracts remain conditional." +} diff --git a/research/complex-trace-rank5-replay/RECEIPT.json b/research/complex-trace-rank5-replay/RECEIPT.json new file mode 100644 index 0000000000..7b6fbd3b89 --- /dev/null +++ b/research/complex-trace-rank5-replay/RECEIPT.json @@ -0,0 +1,43 @@ +{ + "status": "PASS_FRESH_COMPLEX_TRACE_RANK5_AND_EXACT_ASSEMBLY", + "kappa": "397761416533549/250000000000000000", + "kappa_decimal": "0.001591045666134196", + "source_manifest_sha256": "3db46a45e6b8e7021176e889d730141b5a30bcad47e99a9ada67128c012c2dcc", + "physical_receipt_sha256": "79a33784c5e336e4ead0da36392b7ba453677e104bbe271543f5264ca52131dd", + "assembly_sha256": "828a6cb240c861fc955a490840dec5e0693be2d81457d547cef676f7e42efdb5", + "admission_controls_sha256": "d5a3414e635db9a80663d6462deb918094df947b7c9923171714e33c645d1a37", + "stages": [ + { + "name": "local-construction-scalar-price", + "exit_code": 0, + "seconds": 7.071252208028454, + "log_sha256": "005b69ee998919205be3e156bfed4f9492f3aeb2b4b060de77f66cbc84c6d310" + }, + { + "name": "omitted-middle-shear-control", + "exit_code": 0, + "seconds": 0.3626785410451703, + "log_sha256": "0bb1f2060bb7f2e78c2d7468ea302bcdaa59af655419f045fb62f6d1237169ff" + }, + { + "name": "full-physical-admission", + "exit_code": 0, + "seconds": 121.14730587502709, + "log_sha256": "3a127e6bf99b9a0ca176c6022bcefd92dca36dc94bfb2f3ed463138dd61d00a6" + }, + { + "name": "exact-assembly", + "exit_code": 0, + "seconds": 0.1880601659649983, + "log_sha256": "21032bbaf2605091695f3fdc69836525242e9796b7597f1c8b0c616b278a457b" + }, + { + "name": "assembly-admission-controls", + "exit_code": 0, + "seconds": 0.21146091597620398, + "log_sha256": "9cc0577eb648247a02f4352eaf5187000a8378657f388e8ffa8cbeb55a43b9ec" + } + ], + "python": "3.11.5 (main, May 29 2026, 21:26:09) [Clang 17.0.0 (clang-1700.3.19.1)]", + "scope": "Fresh complex supplier admission and exact assembly with cited unchanged PR543 bit supplier. Retained all-size, common-label/mutable-source, whole-call hosting, precision/tape and analytic-transfer contracts remain conditional." +} diff --git a/research/complex-trace-rank5-replay/REPLAY-SUMMARY.json b/research/complex-trace-rank5-replay/REPLAY-SUMMARY.json new file mode 100644 index 0000000000..acf3f9850c --- /dev/null +++ b/research/complex-trace-rank5-replay/REPLAY-SUMMARY.json @@ -0,0 +1,19 @@ +{ + "status": "OBSERVED_CLEAN_ARCHIVE_REPLAY_EXIT_0", + "python": "3.11.5", + "archive_sha256": "2cd8a5fa05d5d75f040a1411b1ca9bb658bb18e2733d75021b7ea01479bf31be", + "source_manifest_sha256": "3db46a45e6b8e7021176e889d730141b5a30bcad47e99a9ada67128c012c2dcc", + "checks": "Full fresh complex admission, exact rational assembly,13receipt controls; cited unchanged bit repriced; no claim of remote CI success.", + "historical_integration_fixes": [ + "Baseline plan profile nomination was stale; new plan changes only profile.", + "Raw gzip header varies by Python platform; exact decompressed word is pinned and actual byte hash bound per run.", + "Initial cross-run JSON equality rejected run-specific timestamp/plan-serialization hash differences after all mathematics passed; final wrapper binds those3hashes to fresh files and compares every remaining field exactly." + ], + "files": { + "RECEIPT.json": "20fe543d59e58fee9e7d57c5fc70073e4fda13c5346e57d4f089d6d6db1bb416", + "ASSEMBLY.json": "828a6cb240c861fc955a490840dec5e0693be2d81457d547cef676f7e42efdb5", + "ASSEMBLY-CONTROLS.json": "d5a3414e635db9a80663d6462deb918094df947b7c9923171714e33c645d1a37", + "PHYSICAL-RECEIPT.json": "79a33784c5e336e4ead0da36392b7ba453677e104bbe271543f5264ca52131dd", + "PHYSICAL-RESULT.json": "26eed781b86e5f5a069240198a81d55660fff24992a4eb2ec2a69a4e8a5a60ca" + } +} diff --git a/research/complex-trace-rank5/LICENSE b/research/complex-trace-rank5/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/complex-trace-rank5/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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"b47da4b840ca9c8d1e2816359a603304ebd7ca442c82b94c049b00f142643f73", + "physical/upstream/complex-global/vendor531/SOURCES.json": "c265f58b1ab29f9b662e9c5f943147ccc0527fb1f4803b06b48f71d96fa9bc60", + "physical/upstream/complex-global/vendor535/LICENSE": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4", + "physical/upstream/complex-global/vendor535/NOTICE.md": "1547136e6d269fdcef2b68c10a97a786a79a4732a12738363f679bfb282430cd", + "physical/upstream/complex-local/README.md": "d2095fcda12f0350d1a03787b04bb7f0a0a886698b83fbfe734beef3e7c107be", + "physical/upstream/complex-local/SOURCE-MANIFEST.json": "b91c0d923affac87ce0bad7083d4640758930f82628f042bed7aaccf528973cc", + "physical/upstream/pr544-NOTICE.md": "9217b11e4ad37d5a414ef90823b4e834c027078a24497f3ed7f86179f4cb3240", + "physical/vendor/pr531/code/adapters_local.py": "4e89a5c517cd87ff6a5aa9b7334c0d74821179ae5777d31284da25b9d8abf113", + "physical/vendor/pr531/code/audit_and_transport.py": "a4fc272266785e1fffd44775c6fa6df783c4352de4c3f1d925cf953a23b84e7f", + "physical/vendor/pr531/code/audit_local.py": "69b12c45d0a961175a824c1967353c7f3b94818a7dd6ac7bbcf56a6d1a5ed8e8", + "physical/vendor/pr531/code/audit_supplier_hosted.py": "301e9b5c593b6d583065337eb7b3ef207cf039e265f099f89080a4bf25856b43", + "physical/vendor/pr531/code/emit_local.py": "eefc76e0bee003015fe21ac685c2cce658033d5444add404d2d509c7d6f39bac", + "physical/vendor/pr531/code/emit_supplier_hosted.py": "53c0b653b3a5100756d6a9473c90101b8c3ab72723d7047983906ab997bdf920", + "physical/vendor/pr531/code/invoice_final.py": "96b6bed96ca8b60dfc064cd1c7962c45a5cb53c4e52cd90aaea6ccf8d109db97", + "physical/vendor/pr531/code/prepare_supplier_base.py": "f5eae94aca965d0008bc07cff8245ccb7509042ccad457d3bcb7d51c1e9409f0", + "physical/vendor/pr531/vendor/clifford/clifford_exact.py": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962", + "verify.py": "463586a71aa780c9dac686149cb67cb7a9fbcfd17d479f0b49246646733ab766" +} diff --git a/research/complex-trace-rank5/NOTICE.md b/research/complex-trace-rank5/NOTICE.md new file mode 100644 index 0000000000..b4a00aeeb3 --- /dev/null +++ b/research/complex-trace-rank5/NOTICE.md @@ -0,0 +1,9 @@ +# Attribution, modifications and scope + +New work: the exact two-to-three Steinberg expansion on PR548, its rank-five frame assignment, the deterministic construction and omission control, independent review, fresh complex admission and exact composition. Prepared for eumemic with OpenAI Codex assistance. Apache-2.0; see LICENSE. + +This is built on Dugongue PR548, pinned at `66dbc2bffc1bfa8d50b3f9a2ac7ccba8fd9f6f36`, including the PR541 static44 response presentation, transported PR534 frames and cold-dirt source substitution. Credit remains with rohanarun / Claude for PR534 frame assignments; icekylinx for PR535 post-centre rank-four work and PR531 direct delivery and hosting; chafreaky PR544 for complete phase admission; DreamingOfClouds PR484 and the attributed PR433/PR361 ancestry for gauge/kernel, normalized wrappers, phase compiler and rational engines. Original notices, authorship and AI disclosures remain intact under `local/` and `physical/upstream/` and within retained source files. + +The unchanged R420 bit supplier is eumemic PR543, pinned at `2065fe4f72a914d907f1046603f5a36f17018535`, with its original Claude assistance disclosure preserved in `inputs/PR543-NOTICE.md` and `inputs/PR543-README.md`. Rohan Arun PR547, pinned at `eecca20a24258cb6d9f698b1984a95029bac0a1c`, supplies the comparison and retained exact two-supplier assembly engines; its narrative and OpenAI Codex disclosure are retained in `inputs/PR547-README.md`. + +Retained mathematical sources are unmodified and hash-pinned. New orchestration uses relative paths; the physical replay regenerates the nominated profile without changing the upstream mathematical checkers. This package physically replays the changed complex supplier and cites the unchanged bit supplier. All-size, mutable-source/common-label, whole-call hosting, precision/tape and analytic-transfer assumptions remain conditional. No unconditional theorem or complete Lean certification is claimed. diff --git a/research/complex-trace-rank5/PROOF.md b/research/complex-trace-rank5/PROOF.md new file mode 100644 index 0000000000..2e8ae0250c --- /dev/null +++ b/research/complex-trace-rank5/PROOF.md @@ -0,0 +1,17 @@ +# Exact edit, paid gain and admission + +The frozen PR548 word has B[936] `z283 += z299` and B[1048] `z616 += z283`, both at frame `[290,162,98,24,6,1]`. Every intervening gate is an ADD touching none of these three registers. Moving the latter gate next to the former therefore preserves the scalar operator on arbitrary inputs, including dirty helpers. + +For arbitrary initial `(i,j,k)`, the execution `j += k; i += j` gives `(i+j+k,j+k,k)`. The execution `i += j; i += k; j += k` gives the same result. The deterministic constructor checks this identity over exact rational 3-by-3 matrices and performs only the specified commuting exchanges. The scalar equality is also checked after reflection. No clean-helper assumption is used. + +The replacement uses frame `[290,162,98,24,6]`. Frame legality does not follow merely from the scalar identity: it is separately verified from literal native programs in both orientations, with all register transitions and paid ledgers rebuilt. Cleanup is the literal reverse inverse of every background gate, including the new shear. The source ports, A word, cut, centres, entrances, helper widths and target levels are fixed. A separate exact all-column audit proves the intended endpoint and arbitrary-dirt restoration. Deleting the new middle gate and regenerating cleanup is rejected at the forward endpoint assertion. + +The local profile changes from `{1:2284,2:456,3:488,4:168,5:56,6:56,8:8}` to `{1:2285,2:455,3:487,4:169,5:56,6:56,8:8}`. Thus its difference is `e1-e2-e3+e4`, with zero child-count change and zero mass change. For exponent `02*max(h)**2 + for z,accept in [(lower,True),(lower+Q(1,10**24),False)]: + l,u=M.moment(h,m,W,z,True);ll,uu=B.moment(m,W,list(h.items()),z) + fl,fu=B.moment(m,W,[(1,32*m*m*sum(h.values()))],z);ll+=fl/10**16;uu+=fu/10**16 + assert (u<1 and uu<1)if accept else(l>1 and ll>1) + moments.append(dict(side=side,endpoint=str(z),accept=accept,mercator=[str(l-1),str(u-1)],base_two=[str(ll-1),str(uu-1)])) + assert bit['bit']['two_level_coefficient_bits']0 + ceil=lambda x:-(-x.numerator//x.denominator);cut=max(ceil(36/gap**2),ceil(2*(4+512)/gap));assert cut*gap**2>=36 and cut*gap>=2*(4+512) + cuts.append(dict(exponent=str(a),gap=str(gap),cutoff_log2=str(cut)));chain.append(a) + q=chain[-1]*(1-2*eta);margin=(1-eta)*q/(1+q);ticks=margin*10**18;k=Q((ticks.numerator-1)//ticks.denominator,10**18) + bridge={'semantic':{'C0':{'base':2,'exponent':210000},'strict_literal_gap':1},'rows':{'degree_gap':Q(10**6)-Q(51*20161,25)}} + outer=A.assembly(chain[-1],b,bridge,k,eta=eta,beta=beta);assert len(outer['strict_constraints'])==47 and all(v>0 for v in outer['strict_constraints'].values()) + controls=[] + for name,kk,ee,bb in [('next_grid',k+Q(1,10**18),eta,beta),('zero_eta',k,Q(0),beta),('zero_beta',k,eta,Q(0)),('unit_beta',k,eta,Q(1))]: + try:A.assembly(chain[-1],b,bridge,kk,eta=ee,beta=bb) + except AssertionError:controls.append(name) + else:raise AssertionError(name) + input_hashes={'owner_audit':owner_sha,'fresh_invoice':invoice_sha,'inputs/PR543-EXPECTED.json':sha(bit_path)} + input_hashes.update({'engines/'+name+'.py':sha(P/'engines'/(name+'.py'))for name in ('moment','base_two_moment','outer')}) + return dict(status='PASS_FRESH_TRACE_EXPANSION_EXACT_ASSEMBLY',kappa=str(k),kappa_decimal=dec(k),complex_lower=str(b),complex_decimal=dec(b),bit_lower=str(c),bit_decimal=dec(c),binding='complex',gain_over_pinned547_percent=dec(100*(k/Q('0.001590984155135328')-1)),complex_profile=H,template_sha256=owner['template_sha256'],input_sha256=input_hashes,bit_supplier=dict(pr=543,repository='eumemic/integer-mult-bounds',commit='2065fe4f72a914d907f1046603f5a36f17018535',path='research/e8-bit-r420/EXPECTED.json',git_blob_sha1='b61d859826246e0c3dabbe096e57ad7015eadfd5',replay_scope='Cited unchanged supplier; this assembly reprices its full profile and does not rebuild its bit circuit.'),moments=moments,bootstrap=cuts,outer={n:str(v)for n,v in outer['strict_constraints'].items()},controls=controls,scope='Conditional finite complex witness composed with cited unchanged PR543 bit supplier. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic transfer remain assumptions. No unconditional theorem or full Lean certification.') +if __name__=='__main__': + ap=argparse.ArgumentParser();ap.add_argument('--owner',type=Path,required=True);ap.add_argument('--invoice',type=Path,required=True);ap.add_argument('--out',type=Path,required=True);a=ap.parse_args();assert not a.out.exists() + r=assemble(read(a.owner),read(a.invoice),sha(a.owner),sha(a.invoice));a.out.write_text(json.dumps(r,indent=2)+'\n');print(r['status'],r['kappa_decimal']) diff --git a/research/complex-trace-rank5/assembly_controls.py b/research/complex-trace-rank5/assembly_controls.py new file mode 100644 index 0000000000..027ed62067 --- /dev/null +++ b/research/complex-trace-rank5/assembly_controls.py @@ -0,0 +1,103 @@ +"""Admission-gate negative controls for the exact two-supplier assembly. + +Prepared with OpenAI Codex assistance; Apache-2.0. These use the fresh owner +and invoice receipts, never repeat the physical replay or change its artifacts. +""" +import argparse +import copy +import hashlib +import json +from pathlib import Path + +from assemble import assemble + +assert __debug__, 'Assertions required' +P = Path(__file__).resolve().parent +sha = lambda p: hashlib.sha256(p.read_bytes()).hexdigest() +digest = lambda x: hashlib.sha256(json.dumps(x, sort_keys=True, separators=(',', ':')).encode()).hexdigest() + + +def verify(owner_path, invoice_path): + owner = json.loads(owner_path.read_text()) + invoice = json.loads(invoice_path.read_text()) + baseline = assemble(owner, invoice, sha(owner_path), sha(invoice_path)) + + def empty_maps(o, i): + i['strict_checks'] = {} + i['local'] = {} + + def missing_backward(o, i): + del i['local']['backward'] + + def failed_status_zero_sweeps(o, i): + i['status'] = 'FAIL' + i['complete_invocation_sweeps'] = i['bridge_sweeps'] = 0 + + def understated_stock(o, i): + # Keep the two receipts mutually consistent, but remove a required role. + o['physical'] -= 1 + i['physical'] -= 1 + i['physical_stock_identity']['coefficient_work'] -= 1 + + def changed_profile(o, i): + # Keep the rank mass and deficit unchanged; pricing must bind the word. + o['paid_profile']['1'] += 2 + o['paid_profile']['2'] -= 1 + + controls = [ + ('empty_certification_maps', empty_maps), + ('missing_backward_orientation', missing_backward), + ('failed_status_zero_sweeps', failed_status_zero_sweeps), + ('nonboolean_precision_check', lambda o, i: i['strict_checks'].__setitem__('precision', 'true')), + ('wrong_owner_role_count', lambda o, i: o.__setitem__('actual_helper_owner_charts', 36287)), + ('understated_physical_stock', understated_stock), + ('changed_profile_same_rank_mass', changed_profile), + ('insufficient_finite_C0', lambda o, i: i['finite'].__setitem__('required_C0_bits', 210001)), + ('unpaid_scalar_primitive', lambda o, i: i['local']['forward'].__setitem__('real_component_primitives', 168228)), + ('wrong_local_artifact_binding', lambda o, i: i.__setitem__('local_programs_sha256', '0' * 64)), + ('false_dirty_restoration', lambda o, i: i['local']['backward'].__setitem__('all_dirty_helper_columns_restored', False)), + ('missing_finite_check', lambda o, i: i['strict_checks'].pop('halving')), + ] + rejected = [] + for name, mutate in controls: + o, i = copy.deepcopy(owner), copy.deepcopy(invoice) + mutate(o, i) + # Rebind each mutated owner to its mutated invoice so tests of roles and + # profiles cannot pass merely by tripping an unrelated stale-file hash. + oh = digest(o) + i['owner_audit_sha256'] = oh + try: + assemble(o, i, oh, digest(i)) + except (AssertionError, KeyError): + rejected.append(name) + else: + raise AssertionError('Invalid admission receipt accepted: ' + name) + try: + assemble(owner, invoice, '0' * 64, sha(invoice_path)) + except AssertionError: + rejected.append('wrong_owner_receipt_hash') + else: + raise AssertionError('Wrong owner digest accepted') + assert len(rejected) == 13 + assert baseline['controls'] == ['next_grid', 'zero_eta', 'zero_beta', 'unit_beta'] + return dict( + status='PASS_EXACT_ASSEMBLY_ADMISSION_NEGATIVE_CONTROLS', + valid_receipt_kappa=baseline['kappa'], + input_sha256=baseline['input_sha256'], + assembler_sha256=sha(P / 'assemble.py'), + rejected_controls=rejected, + exact_outer_controls=baseline['controls'], + scope='Mutation controls for receipt completeness, both orientations, literal work/stock, profile and hash binding. Does not replace the fresh physical replay.', + ) + + +if __name__ == '__main__': + ap = argparse.ArgumentParser(description=__doc__) + ap.add_argument('--owner', type=Path, required=True) + ap.add_argument('--invoice', type=Path, required=True) + ap.add_argument('--out', type=Path, required=True) + a = ap.parse_args() + assert not a.out.exists() + result = verify(a.owner, a.invoice) + a.out.write_text(json.dumps(result, indent=2) + '\n') + print(result['status'], len(result['rejected_controls'])) diff --git a/research/complex-trace-rank5/engines/base_two_moment.py b/research/complex-trace-rank5/engines/base_two_moment.py new file mode 100644 index 0000000000..14a90fa0e7 --- /dev/null +++ b/research/complex-trace-rank5/engines/base_two_moment.py @@ -0,0 +1,63 @@ +#!/usr/bin/env python3 +"""Maintainer arithmetic cross-check of the pinned PR39 certificate. + +Uses no producer/checker imports. Counts are inputs, not proved by this script. +80-term rational logarithms and 12-term exponentials independently enclose +the two moments. The accompanying written review addresses their realization. +""" +import argparse +from fractions import Fraction as Q +from hashlib import sha256 +import json +from pathlib import Path + +ROOT = Path(__file__).resolve().parents[1] +GRID = 10**30 + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +def log_unit(x): + require(1 <= x <= 2, "logarithm range") + z = (x-1)/(x+1) + lo = 2*sum((z**(2*j+1)/(2*j+1) for j in range(80)), Q(0)) + return lo, lo+2*z**161/(161*(1-z*z)) + + +def log_bounds(x): + k = 0 + while x > 2: + x /= 2 + k += 1 + lo, hi = log_unit(x) + l2, u2 = log_unit(Q(2)) + lo, hi = lo+k*l2, hi+k*u2 + # Outward rational rounding keeps later certificates compact. + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + + +def exp_bounds(x): + require(0 <= x < 1, "exponential range") + term = total = Q(1) + for j in range(1, 13): + term *= x/j + total += term + tail = term*x/13/(1-x/14) + return total, total+tail + + +def moment(m, W, entries, saving): + lo = hi = Q(0) + for t, count in entries: + t, count = int(t), int(count) + require(0 < t < m and count > 0, "improper child") + l, u = log_bounds(Q(m, t)) + lower = exp_bounds(saving*l)[0] + upper = exp_bounds(saving*u)[1] + lo += Q(t*count, m*W)*lower + hi += Q(t*count, m*W)*upper + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + diff --git a/research/complex-trace-rank5/engines/moment.py b/research/complex-trace-rank5/engines/moment.py new file mode 100644 index 0000000000..7d697cb452 --- /dev/null +++ b/research/complex-trace-rank5/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/complex-trace-rank5/evidence/EXPECTED-ASSEMBLY.json b/research/complex-trace-rank5/evidence/EXPECTED-ASSEMBLY.json new file mode 100644 index 0000000000..1d035d4183 --- /dev/null +++ b/research/complex-trace-rank5/evidence/EXPECTED-ASSEMBLY.json @@ -0,0 +1,182 @@ +{ + "status": "PASS_FRESH_TRACE_EXPANSION_EXACT_ASSEMBLY", + "kappa": "397761416533549/250000000000000000", + "kappa_decimal": "0.001591045666134196", + "complex_lower": "398395281619778713553/250000000000000000000000", + "complex_decimal": "0.001593581126479114854212", + "bit_lower": 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All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic transfer remain assumptions. No unconditional theorem or full Lean certification." +} diff --git a/research/complex-trace-rank5/evidence/FIRST-INVOICE.json b/research/complex-trace-rank5/evidence/FIRST-INVOICE.json new file mode 100644 index 0000000000..c1d9c97e6a --- /dev/null +++ b/research/complex-trace-rank5/evidence/FIRST-INVOICE.json @@ -0,0 +1,106 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE", + "template_sha256": "8deedfe6bb7b414e6ad8c8404adcc2d6229cc6a462a51c6c87be7bfb8db09bf4", + "parent_template_sha256": "978af6eea139ea51e78dd5216a7e6e4b17539c9682f29557a666bff2a8a3f250", + "owner_audit_sha256": "54eaba9c05be4978b51cfdb2ed0c1b350cfcded79c48bdf60203937ab1e11eaa", + "controller_audit_sha256": "f3f603726bfaa22487ef9c552e9a4a75af74dd69f52c79fc526cc56231e82b11", + "independent_local_replay_sha256": "79a05018f058295a31ce690549edfa993964db67b8bf11ff334d78d8b8e02d9e", + "canonical_word_sha256": "c76a436cae8990ddd339b615f5e9df02769a59fd2c998b0a5c6767235b6305ab", + "local_programs_sha256": "09ad9150106a3e69d496eae5804557665c660cff7c8214f911d6e16fe25eda75", + "local_checks_sha256": "922ef27e095375bfd572e7ae580984fe62d03a3e1efcfa7bd8eb4c36d11259c1", + "global_prefix_bits": 225, + "charged_prefix_bits": 512, + "complete_invocation_sweeps": 72, + "bridge_sweeps": 72, + "row_prefix_extra": 1024, + "local": { + "backward": { + "events": 22109, + "macros": 16916, + "real_component_primitives": 168284, + "prefix_l1": "1014379822882", + "prefix_bits": 40, + "coefficient_work_primitive_count": 83370, + "all_exact_columns": 728, + "dirty_helper_columns": 504, + "all_dirty_helper_columns_restored": true, + "private_centres_and_coefficient_work_cleared": true, + "pre_wrappers": 212, + "post_wrappers": 212, + "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json" + }, + "forward": { + "events": 22109, + "macros": 16916, + "real_component_primitives": 168236, + "prefix_l1": "86491024246", + "prefix_bits": 37, + "coefficient_work_primitive_count": 83338, + "all_exact_columns": 728, + "dirty_helper_columns": 504, + "all_dirty_helper_columns_restored": true, + "private_centres_and_coefficient_work_cleared": true, + "pre_wrappers": 212, + "post_wrappers": 212, + "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json" + } + }, + "helpers": 504, + "centres": 8, + "live": 7168, + "physical": 7682, + "physical_stock_identity": { + "data_and_owner_families": 7168, + "local_helpers": 504, + "private_centres": 8, + "coefficient_work": 2 + }, + "entering_helpers": 212, + "entrance_rank": 380, + "width_inventory": { + "5": 56, + "8": 156, + "9": 292 + }, + "local_adapters": 343360, + "local_primitive_bound": 8904813777244, + "wrapper_elementary_factors_charged": 4396032, + "factors_per_wrapper": 144, + "compiler": 25934336, + "unhosted_pervertex": 1593256649949080, + "hosted_rebased_pervertex": 1593256649649704, + "conservative_pervertex_used": 4471203639673648, + "retained_prior_overcharge": { + "sha256": "ce1bfa49be88ae67a404f606a11db2232b7e1f2610d4418058e39749d86d8478", + "previous_pervertex_allowance": 2877946989724568, + "added_complete_new_pervertex": 1593256649949080, + "policy": "Retain old allowance and add the entire fresh recount." + }, + "finite": { + "physical_stock_bits": 2641, + "router_bits": 7985, + "literal_bits": 35282, + "physical_row_coefficient": 16467, + "retained_row_coefficient": 20161, + "required_C0_bits": 200012, + "halving_integer_inequality": [ + 5329, + 4608 + ], + "G_exponent": 30000, + "E_exponent": 100000, + "C0_exponent": 210000 + }, + "strict_checks": { + "local_primitive_bound": true, + "logical": true, + "router": true, + "literal": true, + "mass": true, + "precision": true, + "tape": true, + "row": true, + "halving": true + }, + "scope": "Fresh emitted primitive/Horner, prefix, wrapper and finite recount, using the hash-bound independent local all-column/frame replay and actual whole-owner audit. No old INTEGRATION receipt is used to certify the changed word. The inherited all-size compiler, precision/tape and analytic-transfer contracts remain conditional. Retained payload 512 and physical row allowance 20161 are unchanged." +} diff --git a/research/complex-trace-rank5/evidence/FIRST-OWNERS.json b/research/complex-trace-rank5/evidence/FIRST-OWNERS.json new file mode 100644 index 0000000000..f5949d0498 --- /dev/null +++ b/research/complex-trace-rank5/evidence/FIRST-OWNERS.json @@ -0,0 +1,40 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE", + "template_sha256": "8deedfe6bb7b414e6ad8c8404adcc2d6229cc6a462a51c6c87be7bfb8db09bf4", + "paid_profile": { + "1": 164520, + "2": 33208, + "3": 36987, + "4": 12168, + "5": 4032, + "6": 4032, + "7": 208, + "8": 576, + "39": 1, + "48": 1660 + }, + "live": 7168, + "physical": 7682, + "rank_mass": 520704, + "deficit": 2560, + "hosted_residuals": 36288, + "banked_residuals": 0, + "all_live_owners_per_call_distinct": true, + "owners_per_call": 728, + "actual_helper_owner_charts": 36288, + "actual_73column_sigmas": 2972, + "cross_replica_helper_roles": 28243, + "explicit_idle_remainder_children": 4240, + "source_idle_children_charged": 16128, + "source_artifacts": { + "split-centres/CANONICAL-WORD.json.gz": "c76a436cae8990ddd339b615f5e9df02769a59fd2c998b0a5c6767235b6305ab", + "split-centres/LOCAL-PROGRAMS.json.gz": "09ad9150106a3e69d496eae5804557665c660cff7c8214f911d6e16fe25eda75", + "split-centres/LOCAL-CHECKS.json": "922ef27e095375bfd572e7ae580984fe62d03a3e1efcfa7bd8eb4c36d11259c1", + "split-centres/RESIDUAL-ADAPTERS.json": "e4fce8ca73ad20a86711837dd6fe1efad5a335689352791a635969e4d1be4391", + "split-centres/CLIFFORD-RECIPES.json": "304faa830ccc097106875d2c236a24cb284df86c5ca3f92ddbd1431694ad3ded", + "split-centres/CLIFFORD-REVIEW.json": "8527d5e6ace2a4130d094faf6bc67def0bfb2a6fb045ba3e0af2d82021ba9111", + "split-centres/INDEPENDENT-LOCAL-REPLAY.json": "79a05018f058295a31ce690549edfa993964db67b8bf11ff334d78d8b8e02d9e", + "work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa" + }, + "controller_audit_sha256": "f3f603726bfaa22487ef9c552e9a4a75af74dd69f52c79fc526cc56231e82b11" +} diff --git a/research/complex-trace-rank5/evidence/FIRST-PHYSICAL-RECEIPT.json b/research/complex-trace-rank5/evidence/FIRST-PHYSICAL-RECEIPT.json new file mode 100644 index 0000000000..1322f46949 --- /dev/null +++ b/research/complex-trace-rank5/evidence/FIRST-PHYSICAL-RECEIPT.json @@ -0,0 +1,202 @@ +{ + "status": "PASS_FRESH_STEINBERG256_FULL_PHYSICAL_REPLAY", + "stages": [ + { + "name": "complex-scalar-frame-transport", + "command": [ + "/private/tmp/leap/venv/bin/python", + "-B", + "/private/tmp/pr548-steinberg256-full-replay/inputs/run_portable.py", + "/private/tmp/pr544-complex-dependencies/vendor/pr531/code/audit_and_transport.py", + "--raw", + "/private/tmp/pr548-steinberg256-full-replay/inputs/FULL-WORD.json.gz", + "--routing", + "/private/tmp/pr548-steinberg256-full-replay/inputs/ROUTING-CANONICAL-WORD.json.gz", + "--out", + "/private/tmp/pr548-steinberg256-full-replay/complex-local" + ], + "exit_code": 0, + 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Old baseline profile nomination rejected; only profile corrected for successful fresh emission, then independent owner7controls and invoice rerun." +} diff --git a/research/complex-trace-rank5/evidence/FIRST-PHYSICAL-RESULT.json b/research/complex-trace-rank5/evidence/FIRST-PHYSICAL-RESULT.json new file mode 100644 index 0000000000..863d42b2e0 --- /dev/null +++ b/research/complex-trace-rank5/evidence/FIRST-PHYSICAL-RESULT.json @@ -0,0 +1,41 @@ +{ + "status": "PASS_FRESH_STEINBERG256_FULL_PHYSICAL_REPLAY", + "complex_local_profile": { + "1": 2285, + "2": 455, + "3": 487, + "4": 169, + "5": 56, + "6": 56, + "8": 8 + }, + "complex_global_profile": { + "1": 164520, + "2": 33208, + "3": 36987, + "4": 12168, + "5": 4032, + "6": 4032, + "7": 208, + "8": 576, + "39": 1, + "48": 1660 + }, + "complex_word_sha256": "c76a436cae8990ddd339b615f5e9df02769a59fd2c998b0a5c6767235b6305ab", + "complex_program_sha256": "09ad9150106a3e69d496eae5804557665c660cff7c8214f911d6e16fe25eda75", + "complex_phase_sha256": "304faa830ccc097106875d2c236a24cb284df86c5ca3f92ddbd1431694ad3ded", + "complex_template_sha256": "8deedfe6bb7b414e6ad8c8404adcc2d6229cc6a462a51c6c87be7bfb8db09bf4", + "complex_live": 7168, + "complex_physical": 7682, + "complex_deficit": 2560, + "complex_helper_roles": 36288, + "complex_prefix_bits": 225, + "complex_charged_prefix_bits": 512, + "phase_edges": 2929, + "endpoint_adapters": 224, + "actual_maps": 2972, + "stale_baseline_profile_rejected": true, + "corrected_nomination_changes_only_profile": true, + "python": "3.12.13 (main, Mar 3 2026, 12:39:30) [Clang 21.0.0 (clang-2100.0.123.102)]", + "scope": "Fresh finite candidate admission, using unchanged pinned548 owner map, windows and order with complete new profile claim. Baseline plan claim failed and remains preserved. 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"1000000000000000000000000877047976140911479187/1000000000000000000000000000000000000000000000" + ] + } + ], + "scope": "Independent constructor diff, exact disjoint commutation/Steinberg identity in both orientations, literal cleanup, native transport binding, all scalar common-frame incidences and complete paid child profiles, ordered wrappers, complete fixed-owner price including fallback. Native all-column endpoint receipts inspected and hash-bound. Global physical phase/hosting/finite invoice and outer exact assembly remain separate; this review does not claim them.", + "issues": [ + { + "severity": "cosmetic", + "message": "Search module docstring describes reverse 3-to-2 move; implementation and SEARCH scope correctly perform 2-to-3." + } + ] +} diff --git a/research/complex-trace-rank5/evidence/PR543-LOCAL-REPLAY.json b/research/complex-trace-rank5/evidence/PR543-LOCAL-REPLAY.json new file mode 100644 index 0000000000..9937764a51 --- /dev/null +++ b/research/complex-trace-rank5/evidence/PR543-LOCAL-REPLAY.json @@ -0,0 +1,47 @@ +{ + "status": "PASS_EXACT_REPLAY_AND_INTERLEAVED_INTERFACE", + "hypotheses": { + "H1_no_target_feeds_z": true, + "H2_D_frame0_targets_from_helpers": true, + "H3_A_z_only_scatter_targets_B_split": true, + "H4_C_literal_reverse_at_full": true, + "H5_V_identity": true + }, + "conclusion": { + "U_block_form": true, + "J_identity": true, + "K_equals_D": true, + "C_is_U_inverse": true + }, + "interleaving": { + "z_gates_A": 2064, + "source_writes_A": 0, + "z_gates_B": 597, + "source_writes_B": 597, + "helper_writes_B": 0, + "sources_rewritten_B": 120, + "B_z_write_frame_dims": { + "4": 477, + "6": 120 + }, + "B_z_operand_kinds": { + "source<-helper": 120, + "source<-source": 477 + }, + "B_z_operand_kinds_by_dim": { + "dim4:source<-source": 477, + "dim6:source<-helper": 120 + }, + "B_z_writes_after_a_target_read_of_the_same_register": 597, + "B_target_reads_of_registers_rewritten_earlier_in_B": 120, + "target_reads_of_targets": 0, + "cleanup_gates": 2661 + }, + "gates": { + "D": 120, + "A": 2064, + "B": 837, + "C": 2661 + }, + "columns": 660 +} \ No newline at end of file diff --git a/research/complex-trace-rank5/evidence/REVIEW.txt b/research/complex-trace-rank5/evidence/REVIEW.txt new file mode 100644 index 0000000000..d168d31c9a --- /dev/null +++ b/research/complex-trace-rank5/evidence/REVIEW.txt @@ -0,0 +1,74 @@ +Independent review of the PR548 Steinberg 2-to-3 candidate +Prepared with OpenAI Codex. Candidate inputs were read only. + +RESULT: PASS for the exact constructor edit, commutation, inverse cleanup, +native frame ledgers in both orientations, complete fixed-owner paid profile, +and two-engine rational complex-exponent root enclosure. + +This is an independent checker: review.py imports neither the candidate search +constructor nor its frame routines. It represents each F2^9 subspace as the +literal set of all its vectors and uses set inclusion for every frame check. +All source, program, receipt and checker hashes are in INDEPENDENT-REVIEW.json. + +The exact B-section edit replaces positions 936 and 1048 (zero-based): + j += k; ...; i += j +by + i += j; i += k; j += k; ... +where i=616, j=283, k=299, and all coefficients are one. The 111 intervening +operations are ADDs and touch NONE of these three registers. Thus even the +stronger disjointness condition holds; there is no mutable-source assumption. +Exact rational three-register matrices agree in both forward and same-order +inverse-transpose orientations. All three replacement gates use the frame +[290,162,98,24,6], one rank below the two original gates. The full-frame cleanup +is exactly the inverse reverse helper-target subword, with the extra ADD paid. + +Only B, cleanup and report.local_profile change in the raw object. A, cut, +precondition, entrances, ports, center frames, target levels and metadata other +than local_profile are identical. The native word is equal to the candidate, +and the canonical word is independently bound to its tau43 frame transport and +port permutation. All native scalar operations outside center scaffolding are +bound individually to canonical source operations (or their inverse transpose). + +Complete local paid profile, in both emitted orientations: + {1:2285, 2:455, 3:487, 4:169, 5:56, 6:56, 8:8}. +Delta is e1-e2-e3+e4. Local rank mass remains 6012. Register 299 accounts for the +histogram improvement: its last two old paid ranks [2,3] become [1,4]. Changes +at registers 616 and 283 only reorder their rank-1/rank-2 payments. Widths +remain {5:56, 8:156, 9:292}; the unchanged 504 physical helper roles can therefore +be tested against the existing owner assignment. + +Each actual native program has 22,109 events, including 16,916 scalar macros, +3,508 ordinary climbs, eight center transitions, and 212 ordered pre/post +wrapper pairs. Scalar macro counts by phase are: + precondition+compensation 9,924; A 2,007; centers 248; + B 1,889; cleanup 2,848. +The real-component primitive bound recount is 168,236 forward / 168,284 backward. +The candidate's extra main ADD and cleanup ADD are present in these counts; +they add 16 real-component primitive steps per invocation relative to the old +scalar word. No scalar operation was discounted because the paid child profile +improved. Both literal program digests match LOCAL-CHECKS.json. + +The existing native endpoint receipt reports all 728 columns exact in each +orientation, arbitrary helper restoration, erased private work and 11 rejected +negative controls. This review inspects and hash-binds that receipt; it does +not claim a third independent full-column replay. The new independent work here +is the exact structural/identity proof and complete set-based native ledger. + +The unchanged idle profile is {2:448,3:1923,7:208,39:1,48:1660}. Multiplying the +new local profile by 72 and adding every idle child yields: + {1:164520,2:33208,3:36987,4:12168,5:4032,6:4032, + 7:208,8:576,39:1,48:1660}. +Its total rank mass is 520704. Both independent rational engines, including the +inherited per-child fallback, certify the complex exponent lower endpoint + b = 0.001593581126479114854212 +and reject the next tick + b = 0.001593581126479114854213. + +Only issue found: the search script's opening docstring describes the reverse +3-to-2 transformation, while its implementation and output correctly use +2-to-3. This is cosmetic and should be corrected in any publication copy. + +SCOPE: This review does not admit the global physical template, Clifford phase +lowering, owner-hosting assembly, full global finite-work invoice, or outer +integer kappa. The dedicated physical replay and exact outer assembly must +establish those before publication. Existing PR heads remain untouched. diff --git a/research/complex-trace-rank5/evidence/STALE-PLAN-FAILURE.json b/research/complex-trace-rank5/evidence/STALE-PLAN-FAILURE.json new file mode 100644 index 0000000000..7e200f0f7f --- /dev/null +++ b/research/complex-trace-rank5/evidence/STALE-PLAN-FAILURE.json @@ -0,0 +1,123 @@ +{ + "error": "RuntimeError('complex-emit-whole-owners failed\\nTraceback (most recent call last):\\n File \"/private/tmp/pr548-steinberg256-full-replay/inputs/run_portable.py\", line 24, in \\n runpy.run_path(str(script),run_name=\\'__main__\\')\\n File \"\", line 287, in run_path\\n File \"\", line 98, in _run_module_code\\n File \"\", line 88, in _run_code\\n File \"/private/tmp/pr544-complex-dependencies/vendor/pr531/code/emit_supplier_hosted.py\", line 94, in \\n assert dict(sorted(paid.items()))=={int(k):v for k,v in plan[\\'profile\\'].items()}\\n ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\\nAssertionError\\n')", + "stages": [ + { + "name": "complex-scalar-frame-transport", + "command": [ + "/private/tmp/leap/venv/bin/python", + "-B", + "/private/tmp/pr548-steinberg256-full-replay/inputs/run_portable.py", + "/private/tmp/pr544-complex-dependencies/vendor/pr531/code/audit_and_transport.py", + "--raw", + "/private/tmp/pr548-steinberg256-full-replay/inputs/FULL-WORD.json.gz", + "--routing", + "/private/tmp/pr548-steinberg256-full-replay/inputs/ROUTING-CANONICAL-WORD.json.gz", + "--out", + "/private/tmp/pr548-steinberg256-full-replay/complex-local" + ], + "exit_code": 0, + "seconds": 0.4928908330039121, + "script_sha256": "a4fc272266785e1fffd44775c6fa6df783c4352de4c3f1d925cf953a23b84e7f", + "log_sha256": "41efacae9e5db2fec4451f0031002fb1b60e67be62d5de3a9347a23e5c48446b" + }, + { + "name": "complex-emit-local", + "command": [ + "/private/tmp/leap/venv/bin/python", + "-B", + "/private/tmp/pr548-steinberg256-full-replay/inputs/run_portable.py", + "/private/tmp/pr544-complex-dependencies/vendor/pr531/code/emit_local.py", + "/private/tmp/pr548-steinberg256-full-replay/complex-local" + ], + "exit_code": 0, + "seconds": 0.4802528340369463, + "script_sha256": "eefc76e0bee003015fe21ac685c2cce658033d5444add404d2d509c7d6f39bac", + "log_sha256": "7c031d59c6a1ba454a0db7b824bce0e165987107b32178eea978ebabc6fc78aa" + }, + { + "name": "complex-independent-local", + "command": [ + "/private/tmp/leap/venv/bin/python", + "-B", + "/private/tmp/pr548-steinberg256-full-replay/inputs/run_portable.py", + "/private/tmp/pr544-complex-dependencies/vendor/pr531/code/audit_local.py", + "/private/tmp/pr548-steinberg256-full-replay/complex-local" + ], + "exit_code": 0, + "seconds": 1.8144375840201974, + "script_sha256": "69b12c45d0a961175a824c1967353c7f3b94818a7dd6ac7bbcf56a6d1a5ed8e8", + "log_sha256": "b694b4b22abb9d1de9a70bbbdf9e9b0e030ec00a7eddc264e4c18376dd859cee" + }, + { + "name": "complex-normalized-wrappers", + "command": [ + "/private/tmp/leap/venv/bin/python", + "-B", + "/private/tmp/pr548-steinberg256-full-replay/inputs/run_portable.py", + "/private/tmp/pr544-complex-dependencies/vendor/pr531/code/adapters_local.py", + "/private/tmp/pr548-steinberg256-full-replay/complex-local/CANONICAL-WORD.json.gz", + "/private/tmp/pr548-steinberg256-full-replay/complex-local/RESIDUAL-ADAPTERS.json", + "/private/tmp/pr548-steinberg256-full-replay/complex-local/WRAPPER-CHECKS.json" + ], + "exit_code": 0, + "seconds": 0.863204958033748, + "script_sha256": "4e89a5c517cd87ff6a5aa9b7334c0d74821179ae5777d31284da25b9d8abf113", + "log_sha256": "4638570164b60b9d83753f6fd3a6359713fc062971e022bdea919f8d479b298a" + }, + { + "name": "complex-every-local-phase", + "command": [ + "/private/tmp/leap/venv/bin/python", + "-B", + "/private/tmp/pr548-steinberg256-full-replay/inputs/run_portable.py", + "/private/tmp/pr544-complex-dependencies/code/phases_full.py", + "/private/tmp/pr548-steinberg256-full-replay/complex-local", + "/private/tmp/pr544-complex-dependencies/vendor/pr531/vendor/clifford" + ], + "exit_code": 0, + "seconds": 89.88522254198324, + "script_sha256": "a273c325ffd6793d5b63b79a289a9d2bbc9292e6940fb5a926924f3708627af4", + "log_sha256": "1e1b9a9caf5c78c5dff1366931b496e43737c37d1cf3efb23d861140a07821b0" + }, + { + "name": "complex-bind-retained-data", + "command": [ + "/private/tmp/leap/venv/bin/python", + "-B", + "/private/tmp/pr548-steinberg256-full-replay/inputs/run_portable.py", + "/private/tmp/pr544-complex-dependencies/vendor/pr531/code/prepare_supplier_base.py", + "--data-base", + "/private/tmp/pr548-steinberg256-full-replay/inputs/controller-input", + "--local", + "/private/tmp/pr548-steinberg256-full-replay/complex-local", + "--out", + "/private/tmp/pr548-steinberg256-full-replay/complex-base" + ], + "exit_code": 0, + "seconds": 1.3346366669866256, + "script_sha256": "f5eae94aca965d0008bc07cff8245ccb7509042ccad457d3bcb7d51c1e9409f0", + "log_sha256": "fd6b4cd2859865f5ca56757b60f9cb4c4a88a1ea6689af149b937b07ddc0d52b" + }, + { + "name": "complex-emit-whole-owners", + "command": [ + "/private/tmp/leap/venv/bin/python", + "-B", + "/private/tmp/pr548-steinberg256-full-replay/inputs/run_portable.py", + "/private/tmp/pr544-complex-dependencies/vendor/pr531/code/emit_supplier_hosted.py", + "--base", + "/private/tmp/pr548-steinberg256-full-replay/complex-base", + "--owners", + "/private/tmp/pr548-steinberg256-full-replay/inputs/SAT-OWNERS.json.gz", + "--plan", + "/private/tmp/pr548-steinberg256-full-replay/inputs/SAT534-PLAN.json", + "--out", + "/private/tmp/pr548-steinberg256-full-replay/complex-hosted" + ], + "exit_code": 1, + "seconds": 1.9796364170033485, + "script_sha256": "53c0b653b3a5100756d6a9473c90101b8c3ab72723d7047983906ab997bdf920", + "log_sha256": "de950ed1968b7284a642ec52b491a38bef920612c0aee9bdd816973c82c73a4d" + } + ] +} diff --git a/research/complex-trace-rank5/inputs/PR543-ACQUISITION.json 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--- /dev/null +++ b/research/complex-trace-rank5/inputs/PR543-EXPECTED.json @@ -0,0 +1,239 @@ +{ + "word": { + "file": "data/bitE8mut-r420.json.gz", + "file_sha256": "9721a3819efd68307f66f00d84a952eb28eb7c3ad2ce79653ce295c98a764784", + "content_sha256": "e597e3885c0a8daa262afa5985ee2930443329126aece76d33159d81882bdcc2", + "plan_sha256": "d5c2494b4baae801143049e172db303b3c8e25a002e9d9715a1d79dcb2d74c58", + "R": 420, + "retained_totals": 9, + "gates": { + "D": 120, + "A": 2064, + "B": 837, + "C": 2661 + }, + "local_histogram": { + "1": 1320, + "2": 1440, + "4": 60, + "5": 120, + "8": 9 + }, + "legality": { + "records": 29874, + "common_frame_ADDs": 26916, + "rank_mass": 5112 + }, + "five_stage_columns": 900, + "five_stage_payload_bits": 100, + "nine_stage_columns": 1380, + "nine_stage_payload_bits": 100, + "eleven_stage_columns": 1620, + "eleven_stage_payload_bits": 100 + }, + "interface": { + "hypotheses": { + "H1_no_target_feeds_z": true, + "H2_D_frame0_targets_from_helpers": true, + "H3_A_z_only_scatter_targets_B_split": true, + "H4_C_literal_reverse_at_full": true, + "H5_V_identity": true + }, + "conclusion": { + "U_block_form": true, + "J_identity": true, + "K_equals_D": true, + "C_is_U_inverse": true + }, + "interleaving": { + "z_gates_A": 2064, + "source_writes_A": 0, + "z_gates_B": 597, + "source_writes_B": 597, + "helper_writes_B": 0, + "sources_rewritten_B": 120, + "B_z_write_frame_dims": { + "4": 477, + "6": 120 + }, + "B_z_operand_kinds": { + "source<-helper": 120, + "source<-source": 477 + }, + "B_z_operand_kinds_by_dim": { + "dim4:source<-source": 477, + "dim6:source<-helper": 120 + }, + "B_z_writes_after_a_target_read_of_the_same_register": 597, + "B_target_reads_of_registers_rewritten_earlier_in_B": 120, + "target_reads_of_targets": 0, + "cleanup_gates": 2661 + } + }, + "nine": { + "pipeline": "PR #510 (PR #463 nine-stage template, 32 replicas, PR #442 hosting, PR #493 outer assembly)", + "bit_lower": "413456747036699736067/250000000000000000000000", + "bit_lower_decimal": "0.001653826988146798944268", + "profile": { + "1": 380160, + "2": 426624, + "4": 32640, + "5": 34560, + "6": 15360, + "7": 23040, + "8": 2592, + "42": 3456 + }, + "bit": { + "live": 30720, + "physical": 30729, + "maxchild": 42, + "rank_mass": 1956096, + "hosted_residuals": 120960, + "bank_assignments": 0, + "prefix_bits": 189, + "charged_prefix_bits": 192, + "coefficient_bits": 189, + "two_level_coefficient_bits": 416, + "charged_two_level_coefficient_bits": 512, + "row_coefficient": 18355, + "halving_depth": 2 + }, + "kappa": { + "pr535": { + "kappa": "793733736881443/500000000000000000", + "kappa_decimal": "0.001587467473762886", + "complex_lower": "1589991533606044174031/1000000000000000000000000", + "binding_component": "complex" + }, + "pr531": { + "kappa": "1517760977820331/1000000000000000000", + "kappa_decimal": "0.001517760977820331", + "complex_lower": "304013615566499291631/200000000000000000000000", + "binding_component": "complex" + } + } + }, + "eleven": { + "pipeline": "PR #493 (PR #445 geometry, PR #472 emitter, audit and invoice, PR #442 hosting)", + "bit_lower": "82015816228313440961/50000000000000000000000", + "bit_lower_decimal": "0.00164031632456626881922", + "profile": { + "1": 116160, + "2": 130560, + "4": 9120, + "5": 10560, + "6": 3839, + "7": 7680, + "8": 792, + "14": 1, + "56": 3497 + }, + "bit": { + "live": 9600, + "physical": 9609, + "maxchild": 56, + "rank_mass": 745536, + "hosted_residuals": 36960, + "prefix_bits": 4710, + "charged_prefix_bits": 4736, + "coefficient_bits": 4710, + "three_level_coefficient_bits": 14185, + "charged_three_level_coefficient_bits": 14208, + "row_coefficient": 19431, + "halving_depth": 3 + }, + "emitted_program_sha256": "3de4325e0df33ca85116d05cbcc6810f025d6083e5134d128236769c97699f51", + "kappa": { + "pr535": { + "kappa": "793733736881443/500000000000000000", + "kappa_decimal": "0.001587467473762886", + "complex_lower": "1589991533606044174031/1000000000000000000000000", + "binding_component": "complex" + }, + "pr531": { + "kappa": "1517760977820331/1000000000000000000", + "kappa_decimal": "0.001517760977820331", + "complex_lower": "304013615566499291631/200000000000000000000000", + "binding_component": "complex" + } + } + }, + "controls": { + "pr510_r480_nine": { + "word": "vendor/pr510/e8-r480-dead-totals/data/bitE8mut-r480.json.gz", + "bit_lower": "396861776523137034277/250000000000000000000000", + "bit_lower_decimal": "0.001587447106092548137108", + "kappa": { + "pr535": { + "kappa": "1584931111785787/1000000000000000000", + "kappa_decimal": "0.001584931111785787", + "complex_lower": "1589991533606044174031/1000000000000000000000000", + "binding_component": "bit" + }, + "pr531": { + "kappa": "1517760977820331/1000000000000000000", + "kappa_decimal": "0.001517760977820331", + "complex_lower": "304013615566499291631/200000000000000000000000", + "binding_component": "complex" + }, + "pr484": { + "kappa": "662515748707749/500000000000000000", + "kappa_decimal": "0.001325031497415498", + "complex_lower": "663394767670133/500000000000000000", + "binding_component": "complex" + }, + "pr471": { + "kappa": "260706019542937/200000000000000000", + "kappa_decimal": "0.001303530097714685", + "complex_lower": "1305231506267591/1000000000000000000", + "binding_component": "complex" + }, + "pr458": { + "kappa": "323880830669511/250000000000000000", + "kappa_decimal": "0.001295523322678044", + "complex_lower": "1297203880559577927527/1000000000000000000000000", + "binding_component": "complex" + } + } + }, + "pr493_r489_eleven": { + "word": "../e8-bit-carrier-skeleton/data/bit/bitE8mut-r489.json.gz", + "bit_lower": "391360506745414227149/250000000000000000000000", + "bit_lower_decimal": "0.001565442026981656908596", + "emitted_program_sha256": "e37b52e4861c39154b5891460fb45df8651c92cd68961078f8f06596f057c822", + "kappa": { + "pr535": { + "kappa": "97687203033227/62500000000000000", + "kappa_decimal": "0.001562995248531632", + "complex_lower": "1589991533606044174031/1000000000000000000000000", + "binding_component": "bit" + }, + "pr531": { + "kappa": "1517760977820331/1000000000000000000", + "kappa_decimal": "0.001517760977820331", + "complex_lower": "304013615566499291631/200000000000000000000000", + "binding_component": "complex" + }, + "pr484": { + "kappa": "662515748707749/500000000000000000", + "kappa_decimal": "0.001325031497415498", + "complex_lower": "663394767670133/500000000000000000", + "binding_component": "complex" + }, + "pr471": { + "kappa": "260706019542937/200000000000000000", + "kappa_decimal": "0.001303530097714685", + "complex_lower": "1305231506267591/1000000000000000000", + "binding_component": "complex" + }, + "pr458": { + "kappa": "323880830669511/250000000000000000", + "kappa_decimal": "0.001295523322678044", + "complex_lower": "1297203880559577927527/1000000000000000000000000", + "binding_component": "complex" + } + } + } + } +} diff --git a/research/complex-trace-rank5/inputs/PR543-NOTICE.md b/research/complex-trace-rank5/inputs/PR543-NOTICE.md new file mode 100644 index 0000000000..cb68783d7d --- /dev/null +++ b/research/complex-trace-rank5/inputs/PR543-NOTICE.md @@ -0,0 +1,64 @@ +# Notice + +Apache-2.0 (`LICENSE`, copied from #493's package). Prepared by eumemic with substantial Anthropic Claude +assistance. + +## New in this package + +- `code/gen_l3.py` (the generator), `code/nodeopt.py` (bill-aware realization of the block nodes), `code/planio.py` + (plan loader), `data/plan-l3.json` (the CP-SAT plan, nominated by `discovery/planL3.py` and `discovery/planL3b.py`) + and `data/bitE8mut-r420.json.gz` (the word). +- `code/xcheck.py` (independent exact replay and interleaved-interface audit), `code/mutants.py` (word-level mutation + controls), `code/mutrec_b.py` (record-level phase-B mutants, adapted from #493's `mutate_records_mut.py`). +- `code/adapt11.py` (R-specific copies of #493's eleven-stage audit files; the same six edits #503's `adapt.py` + makes for R = 480). +- `code/provenance.py` (adapted from #493's, itself from #381's), `code/cited.py`, `code/summary.py`, `verify.sh`, + `EXPECTED.json`, `DEPENDS.json`, `requirements.txt`, `data/complex-b.json`, `data/selection9-r420.json` and + `data/hosting11-r420.json` (frozen nominations of #442's hosting programme, rediscovered by `verify.sh`), + `.github/workflows/e8-bit-r420.yml`. + +## Vendored, byte-identical (git blob ids in `SOURCE-pr*.json`, checked by `code/provenance.py`) + +- **PR #510 (DreamingOfClouds, with Claude Opus 5.5 via Claude Code), commit 64edee1** (`vendor/pr510/`): + - `e8-r480-nine-stage/code/assemble9.py` (#463's nine-stage invoice and #493's outer-assembly loop), + `code/adapt.py`, `data/selection9-r480.json` and `EXPECTED.json`; + - the files #510 vendors from PR #463 (DreamingOfClouds; head cdf0c1c): + - `e8-r715-eleven-stage-whole/code/{global_k,emit_k,audit_parent_k,audit_hosted_k,hosting_k,bank_routes_k}.py`, + derived from PR #443 and PR #444 (chafreaky, with OpenAI Codex assistance), PR #442 (DaysSky, with Claude) and + PR #386 (Zhihao Chen, with OpenAI Codex assistance); + - `e8-r740-replica32/code/{config,bank_routes,tile_m,e8core}.py` (PR #443, chafreaky) and `engines/` (PR #315's + moment engines, DreamingOfClouds); + - `idle-axis-hosting/hosting_core.py` (PR #442, DaysSky, with Anthropic Claude assistance); + - `e8-r480-dead-totals/data/bitE8mut-r480.json.gz`: PR #503's R480 word (DreamingOfClouds), as carried by #510's + branch. +- **PR #535 (icekylinx, with GPT-6 Astra assistance), commit 8b758a1** (`data/complex/pr535/`): `EXPECTED.json` and + `evidence/audit/EXACT-ASSEMBLY-PR493.json` (the same blobs as at 25f9b7c). + +## Used from main, unchanged (pinned in `DEPENDS.json`) + +- `research/e8-bit-carrier-skeleton` (PR #493, eumemic): the skeleton modules and D4 partition the generator imports; + #370's checker and its relaxed copy; the official cohort checkers (#266 as generalised by #370; #381's + `columns_k.cpp`); `gram_frames.py`; the record exporter and mutants; #386's nine-stage and #445's eleven-stage + geometry; #472's eleven-stage emitter, audit and assembly as adapted there; #442's hosting programme + (`discovery/host_select.py`); the R489 word; the control receipts. Provenance and licences of those files are in + that package's `NOTICE.md`. +- `research/direct-delivery504-global/EXPECTED.json` (PR #531, icekylinx, with GPT-6 Astra assistance): its complex b + and κ. + +## Cited, not rebuilt + +Complex coarse savings in `data/complex-b.json`, each bound to its PR's receipt by `code/cited.py`: PR #535 (primary; +open), PR #531 (merged), and PR #484, #471 and #458 (controls). No complex construction is rebuilt here. + +## Ideas used + +- PR #493 (eumemic): the D4 quad skeleton with sources as carriers. +- PR #503 (DreamingOfClouds): the nine totals on dead registers, hosted by the last eligible register. +- PR #510 (DreamingOfClouds): the nine-stage pricing of these words. DreamingOfClouds' LP in #493's thread gives 480 + under the hypothesis this word avoids. +- PR #425 (Zhihao Chen / jacklightChen, with OpenAI Codex assistance): the scalar-interface lemma. +- PR #535's `PR510-MUTABLE-SOURCE-CARRYOVER.md` (icekylinx): the role-independent bit-side pullback argument. +- PR #370 (Dylan Crow / utcorvusvolat-dotcom): the bitE8/1 format, its independent checker and the decoder totals. +- PR #472, #445, #443 (chafreaky), PR #442 (DaysSky), PR #463 and #315 (DreamingOfClouds), PR #386 (Zhihao Chen): the + pricing pipelines. +- Jacob Sussman introduced the E8 unit. diff --git a/research/complex-trace-rank5/inputs/PR543-README.md b/research/complex-trace-rank5/inputs/PR543-README.md new file mode 100644 index 0000000000..6751eba6f6 --- /dev/null +++ b/research/complex-trace-rank5/inputs/PR543-README.md @@ -0,0 +1,218 @@ +# E8 bit word with R = 420: keepers read by targets, then rewritten in phase B + +A new E8 bit supplier (h = 8, v = 120, 9 retained totals) with **420 helpers**. The best bit words on the hub so far +have 480 (#503, priced at nine stages by #510) and 489 (#493). Priced by two hub pipelines, unchanged: + +| quantity | value | +|---|---| +| **bit c, nine stages** (#510's chain: #463 template, 32 replicas, #442 hosting; 10^-24 grid) | `413456747036699736067/250000000000000000000000` = **0.001653826988146798944268** | +| bit c, eleven stages (#493's chain: #445 geometry, #472 emitter, audit and invoice, #442 hosting) | `82015816228313440961/50000000000000000000000` = 0.00164031632456626881922 | +| #510's R480 word, nine stages (control, reproduced exactly) | 0.001587447106092548137108 | +| #493's R489 word, eleven stages (control, reproduced exactly) | 0.001565442026981656908596 | + +The nine-stage c is 4.18% above #510's and 4.01% above the largest cited complex b (#535). Through #493's six-level, +47-inequality outer assembly (the one #510 uses; it also reproduces #535's own κ values, see the controls), both +compositions are complex-bound: + +| complex supplier (cited from its receipt, not rebuilt) | complex b | κ | binds | +|---|---|---|---| +| **#535** (icekylinx; open PR) | `1589991533606044174031/10^24` = 0.001589991533606044 | **`793733736881443/500000000000000000` = 0.001587467473762886** | complex | +| #531 (icekylinx; merged, main's headline) | `304013615566499291631/(2·10^23)` = 0.001520068077832496 | `1517760977820331/10^18` = 0.001517760977820331 | complex | + +With #535's complex b, #535's own κ is 0.001584931111785787, bound by #510's bit c. This word lifts the bit side above +#535's b, so κ becomes #535's complex cap: **+0.160% over #535**. With #531's b nothing changes, because that +composition was already complex-bound. Each κ above is the same with the nine-stage and with the eleven-stage c, since +the complex side binds in both. + +## The word + +`data/bitE8mut-r420.json.gz` is rebuilt byte for byte by `code/gen_l3.py` from the frozen plan `data/plan-l3.json` +(`NODEOPT=2000 python -I code/gen_l3.py data/plan-l3.json OUT 0 dead last`, about 2 s). The generator imports #493's +skeleton modules (`e8.py`, `geom.py`, `gen.py`, `wordkit.py`) and D4 partition from `research/e8-bit-carrier-skeleton` +on main. Format: bitE8/1 (#370), with gates allowed to write source registers. + +- **Partition.** As in #493: the 120 root lines split into 10 D4 sub-root systems in 5 orthogonally complementary + pairs, giving 30 orthogonal 4-frames, 180 cells (a cell is a pair of lines in one 4-frame), 60 D4 quads and 180 D6 + frames (one per cell, its orthogonal complement). +- **Three registers per cell.** Each source has one home cell in its 4-frame, and two carriers copy it into its other + two cells. Every cell holds exactly three registers: its two line branches and one empty register. That is + 120 sources + 240 carriers + 180 empty registers = 540 = 3 × 180, so R = 420. +- **Phase A.** Each cell delivers two sums to its two quads and keeps one line (its keeper). Each quad applies a + butterfly to its six cell sums. Each D6 node forms o1 = o1 + o2 (o2 is left dead). A D6 that does not host a + Q-delivery takes a free keeper k of the complementary block as its third register (k = k + o1). The 9 decoder + totals of #370 are formed at the full frame on dead registers, hosted by the last eligible register (#503's rule). +- **Phase B, d-single reads (120 gates).** Each target t picks a partner x(t) in its 4-frame Φ and reads, at the cell + C_t = Φ − {t, x(t)}, the keeper of C_t. That keeper is the source register of one line of C_t, and it supplies + t's single d-line. +- **Phase B, block nodes (477 gates).** The 12 keepers that targets read at the dual cells of a block are exactly + the 12 sources of that block. After the reads they climb to the block's D4 frame. One invertible F2 transform per + block turns them into the 12 Q-deliveries for the targets of the complementary block. +- **Phase B, needers (120 gates).** Each Q-delivery register climbs to its target's host D6 and adds that D6's o1 + register, which makes it the target's needer for that D6. +- **Phase B, tops (120 gates).** Each target climbs from its cell straight to t⊥ and reads its three needers there, + one per D6 of its triple {t, e}⊥. +- **Cleanup.** C is the literal reverse, at the full frame, of all 2,661 gates with a source or helper destination + (2,064 in phase A and 597 in phase B). D is #370's frame-zero dirt compensation (120 gates). + +Frame paths: a source goes line → cell → block D4 → host D6 → t⊥ → full; a target goes 0 → cell → t⊥. The local +paid histogram is {1: 1320, 2: 1440, 4: 60, 5: 120, 8: 9}, with rank mass 5,112. + +**Why this is below #493's family bound of 480.** #493's README argued R ≥ 480 for its family with phase-A totals: +the targets' d-line parities need 4 single-line registers per 4-frame, each block's Q-node needs all 4 lines of each +4-frame, and no register can serve both roles. DreamingOfClouds' LP in #493's thread reaches 480 under three stated +hypotheses: three branches per source, two transverse quads per cell, and matching-cell sources feeding the block +frame. This word keeps the first two and drops the third. The block node runs in phase B, after the targets' d-single +reads, so the same source register first gives a target its d-line at its cell and then feeds the block node. R = 420 +equals #493's other family bound: at least three registers per cell with three branches per source on this +partition. + +## Review point: source registers rewritten in phase B, after targets read them + +In #493 every source write is in phase A, and #493's `interface.py` checks, among the hypotheses of #425's lemma, +that phase B writes only targets. This word has 597 phase-B gates that write source registers: + +- 477 block-node gates (source ← source, at block D4 frames); +- 120 needer gates (source ← helper, at D6 frames), so helper contents enter source registers until the cleanup. + +Each of these 597 gates writes a register that a target has already read in phase B, and 120 target reads at t⊥ +read registers rewritten earlier in phase B. No target ever feeds a source or helper. + +**Lemma (scalar interface with interleaved z-gates).** Write z = (x, s) for the sources and the arbitrary helper +contents, and y for the targets. Suppose: + +- (H1) no gate whose destination is a z register reads a target; +- (H2) every gate of D is at frame 0, writes a target and reads only helpers, and D runs first; +- (H3) A writes only z registers; the scatter adds retained helper registers to targets; B is any interleaving of + z-gates (z destination, z sources) and target gates (target destination, any sources); +- (H4) C is the list of z-destination gates of A and B in reverse order, each at the full frame, and every z register + ends at the full frame; +- (H5) the target-to-target part V of the raw word W0 = (A, scatter, B) is the identity. + +Then W0 acts as (z, y) ↦ (U z, y + J x + K s); C acts as (z, y) ↦ (U⁻¹ z, y); and with D acting as y ↦ y + N s +the whole word acts as (x, s, y) ↦ (x, s, y + J x + (K + N) s) over F2. It equals (x, s, y + x) exactly when +J = I and N = K. D is legal at frame 0 and C is legal at the full frame. + +*Proof.* By induction over the gates of W0, the state has the form z_k = U_k z_0 and y_k = V_k y_0 + M_k z_0. A +z-gate reads only z registers (H1, H3), so it multiplies U_k on the left by an elementary transvection and leaves y +alone. A target gate replaces y_k by P y_k + Q z_k for a transvection P on y and a matrix Q, which gives +V_{k+1} = P V_k and M_{k+1} = P M_k + Q U_k. The scatter is a sequence of such target gates. The form is preserved +whatever the order of z-gates and target gates, so W0 = (U, V, M) with U the product of the z-gates' transvections in +order and M = [J K]. By (H4), C applies the same transvections in reverse order. Over F2 each is an involution (the +destination is never among its own sources), so C = U⁻¹, and C touches no target. D adds N s to y and reads only +helpers. Composing, with V = I by (H5), gives the stated map. For the frames: D runs before any climb, and targets and +helpers start at frame 0, so every register D touches stands at frame 0. After B every z register can climb to the +full frame, because every frame lies inside the full frame. C uses only z registers there, and their final frames are +full, so no descent is needed. Targets reach t⊥ in B and C does not touch them. ∎ + +**Relation to #425.** #425's lemma (Zhihao Chen, `PROOF.txt` section 3) has one structural hypothesis, "No target may +feed a z register", and states the block form for "the raw A/center/B word" as a whole. Its cleanup executes U⁻¹ "by +reversing and inverting the non-target gates", wherever they occur. Nothing in it requires the z-gates to precede the +target reads, and its lift to exact labels is an induction "through the actual stream", which does not depend on the +order. The interleaving here is therefore covered by #425's statement as written. #493's check (4) is a property of +the R489 word, not a hypothesis of #425's lemma. This package restates the lemma with the interleaving explicit and +checks each hypothesis on the word; reviewers should confirm this reading of #425. On the bit side, the realization +is the role-independent common-label pullback of #472's PROOF.md ("Shared physical labels"), written out in #535's +`PR510-MUTABLE-SOURCE-CARRYOVER.md`: an XOR between two registers at the same label commutes with that label, +whatever the registers are called and whether or not a source still holds its input, and nested climbs compose. That +argument is also order-independent. The mutable-basis realization remains a listed conditional interface, as in +#472, #493 and #510. + +What the package checks about it: + +- `code/xcheck.py` (independent; reads only the word) checks the labels (an even unimodular lattice of rank 8, every + frame closed), frame legality, and the exact F2 map on all 660 columns with the helper contents as symbolic inputs. + It then evaluates (H1)-(H5) one by one and decomposes the conclusion on W0: z' = U z, J = I, K equals D's helper + sets, and C applied to the W0 outputs restores every source and helper. +- `code/mutants.py`: nine negative controls are rejected, each for the intended reason: + 1. a target feeds a source (F2-neutral pair; rejected by (H1)); + 2. a target feeds a helper (F2-neutral pair; rejected by (H1)); + 3. a dropped cleanup gate; + 4. a corrupted phase-B source write, with the cleanup changed the same way so every source is still restored; + 5. a phase-B source write moved down to the source's own line frame; + 6. a single target-to-target read (V ≠ I); + 7. a corrupted frame-0 preconditioner; + 8. a phase-B source write moved before the target read of that register (frame nesting forbids it); + 9. a cleanup gate moved off the full frame. + + One positive control, a cancelled pair of target-to-target reads (V = I), is accepted. +- #370's stock checker refuses the word ("x register written"). #493's relaxed copy passes it; it replays all 660 + columns exactly. #493's `interface.py` refuses it at its check (4), as expected. +- The official cohort checkers treat every register alike and accept the word. Three record-level mutants aimed at + the phase-B source writes are rejected by the five-, nine- and eleven-stage column checkers, with legality + unchanged: a dropped cleanup ADD, a corrupted phase-B source write with the cleanup adjusted, and an unrestored + source. +- The same `xcheck.py` accepts #493's R489 and #503's R480 words, where B writes only targets (the lemma's special + case). + +## Checks (`verify.sh`) + +```sh +python -m pip install -r research/e8-bit-r420/requirements.txt +bash research/e8-bit-r420/verify.sh /absolute/new/output +``` + +Python 3.11+ with numpy, sympy and scipy, a C++17 compiler (`CXX`) and Boost headers (`BOOST_INCLUDE`). About 2 +minutes on 4 cores (the two controls run in the background). + +0. Manifest. Then provenance: 19 files vendored from #510 and 2 receipts from #535, each checked by git blob id. + Main's files are pinned by sha256: #493's package through its own `MANIFEST.sha256`, and #531's receipt. Every + cited b is checked against its PR's receipt. +1. The word rebuilt from the frozen plan equals the shipped word. +2. `xcheck.py`, the 9 + 1 mutation controls, and `xcheck.py` on the R489 and R480 words. +3. #370's stock checker refuses; #493's relaxed checker passes (legality, exact F2 on 660 columns, 671 frames with + positive Gram determinants, primes {2}); #493's `interface.py` refuses at check (4). +4. Official checkers: + - legality at NCOPY = 9 (29,874 records, 26,916 common-frame ADDs, rank mass 5,112); + - five-stage formal columns (900 columns, prefix payload 100 bits < 104); + - nine-stage formal columns (#381's `columns_k`, KPAIRS = 4): 1,380 columns, 18/18 omitted-bridge controls; + - eleven-stage formal columns (KPAIRS = 5): 1,620 columns, 24/24 omitted-bridge controls; + - the KPAIRS = 2 regression; #370's 6 record-level mutants; the 3 phase-B record-level mutants; + - exact Gram determinants and prime witnesses on all 672 frames. +5. Nine-stage price (#510's chain, unchanged): #463's template (4,740 unbanked scalar columns restored, 18 omitted + bridge shears rejected) and parent audit (17 template mutations rejected). #442's hosting programme rediscovers + the frozen selection `data/selection9-r420.json`, and all 120,960 helper residuals are hosted whole with 0 banks. + The hosted audit replays 8,603,712 renamed instructions and rejects 16 mutations. Then #510's nine-stage invoice: + prefix 189 bits (charged 192), two-level coefficient 416 bits (charged 512), maximum child 42 with + 2 · 42² < 64², row coefficient 18,355. Both moment engines and the outer assembly per supplier follow. +6. Eleven-stage price (#493's chain). `code/adapt11.py` makes the six edits #503 makes for R480 to #493's audit files, + here for R = 420. #442's programme rediscovers `data/hosting11-r420.json`, and all 36,960 residuals are hosted + whole with no banks. The independent audit replays 2,628,912 instructions and rejects 22 template mutations. The + invoice: physical prefix 4,710 bits (charged 4,736), three-level coefficient 14,185 bits (charged 14,208), maximum + child 56, row coefficient 19,431 < 20,161. +7. Controls, through the same files: + - #510's R480 word at nine stages reproduces #510's c and κ values, and with #535's b it gives #535's κ + 0.001584931111785787 (bit-bound); + - #493's R489 word at eleven stages, through #493's files unmodified, reproduces #493's c, κ values and emitted + program hash. With #531's b it gives #531's κ 0.001517760977820331 (complex-bound). With #535's b it gives the + κ of #535's own #493 control, 0.001562995248531632 (bit-bound). +8. Every number above against `EXPECTED.json` and the cited receipts. + +The eleven-stage invoice is larger than #493's (2,176 and 6,464 charged bits) and than the hub's earlier precedent +(#473: 3,456 and 10,304). These bits enter only the finite cutoffs of the outer assembly, whose 47 strict inequalities +pass. The headline uses the nine-stage price, whose invoice (189 and 416 bits) is close to #510's (193 and 425 bits). + +## Retained assumptions + +- Every interface that #472's and #510's compositions retain: the all-size bit/Gaussian compiler; the mutable-basis + and target-label realization (the review point above); whole-call correlated-helper hosting (#442); compressed + windows and restored work; the common grid and tape, precision, row and analytic contracts. +- Complex savings are cited from their PRs' receipts, not rebuilt. #535 is an open PR, so the primary κ is + conditional on its review as well. +- The plan is a CP-SAT nomination (`discovery/`). The hosting selections are nominations of #442's integer + programme. None of them is claimed optimal. +- This is a conditional finite construction, not a Lean proof. + +## Files + +- `code/gen_l3.py`, `code/nodeopt.py`, `code/planio.py`: the generator that built the word, with package import + paths. `nodeopt.py` realizes each block node by randomized LU and keeps the realization with the smallest + cancellation-free norm under the literal cleanup (2,000 tries per block). +- `code/xcheck.py`, `code/mutants.py`, `code/mutrec_b.py`: the independent replay and interface audit, the word-level + mutation controls, and the record-level phase-B mutants. +- `code/adapt11.py`: R-specific copies of #493's eleven-stage audit files. +- `code/provenance.py`, `code/cited.py`, `code/summary.py`: pins, receipts and the final comparison. +- `data/`: the word, plan, frozen hosting selections, cited b (`complex-b.json`) and #535's receipts. +- `vendor/pr510/`: #510's nine-stage chain as run by its `verify.py`, including the files it vendors from #463, #443, + #442 and #315, and #503's R480 word as carried by #510's branch (`SOURCE-pr510.json`). +- `discovery/` (not run by `verify.sh`): the CP-SAT plan model and its iteration (needs ortools). +- `DEPENDS.json`: the files of main this package uses, pinned. diff --git a/research/complex-trace-rank5/inputs/PR547-README.md b/research/complex-trace-rank5/inputs/PR547-README.md new file mode 100644 index 0000000000..db9d990771 --- /dev/null +++ b/research/complex-trace-rank5/inputs/PR547-README.md @@ -0,0 +1,33 @@ +# R420 bit supplier with the PR548 complex supplier + +**Conditional kappa = 0.001590984155135328**, **0.0171593% above the previous PR547 result**. This composes the unchanged R420 bit supplier of PR543 with PR548's static44 complex word, 477 frame lifts, cold-dirt source substitution and whole-owner allocation. The complex supplier binds. + +- PR543 bit c = 0.001653826988146798944268 at `2065fe4f72a914d907f1046603f5a36f17018535`. +- PR548 complex b = 0.001593519419282306763502 at `66dbc2bffc1bfa8d50b3f9a2ac7ccba8fd9f6f36`. +- Previous PR547 used PR544 complex b and reached kappa=0.001590711200057236. Its exact result, verifier and narrative are retained under history/; its input and evidence files are retained as historical dependencies. + +## Contribution + +This is an exact two-supplier composition. Neither source word nor owner map is altered. We reprice the actual global profiles and recompute the supplier minimum, all six finite bootstrap levels and the full outer assembly. Separate percentage gains are never added. PR548's bit word is not used; the independently verified PR543 R420 word remains the bit input. + +## Verification + +```sh +python -B research/r420-static44-composition/verify.py /absolute/new/receipt.json +``` + +Python standard library only. The output must not exist and must be outside the package. The manifest pins every input, engine and notice. Two rational engines check both savings, including rejection of the next 10^-24 grid point. Rank deficits, halving bounds, six explicit finite cutoffs, 47 strict outer inequalities and four invalid-parameter/grid controls pass. The retained bit two-level coefficient charge is 512 and row allowance 20161. + +This one-command verifier is arithmetic-only; physical operators are separately pinned dependencies. Independent Python 3.14 replays have completed for PR543's native/interface/mutation checks, both stage counts, complete hosting/invoices and baseline regressions; and now for PR548's complex construction, frames, changed local phase edges, residual wrappers, complete owner/controller checks and finite invoice. The PR548 component replay checks its final canonical word, complete global template and profile against its published exact expected hashes. It does not redundantly rebuild PR548's unused bit supplier. Unchanged local phase/data certificates remain hash-bound reused dependencies. Source acquisition validates all 243 package Git blobs. + +The previous PR544 complete cold replay also remains in evidence as historical support, not as a substitute for the changed PR548 component. GitHub CI is separate and is not claimed passed. + +## Failures and scope + +All earlier failures and repairs remain in evidence/: missing SciPy, our relative SSD symlink adaptation and its absolute-target repair, and a publication-metadata schema lookup that correctly triggered manifest rejection until repaired. No mathematical checker was relaxed. Source-specific all-size assumptions remain. + +PR543 rewrites sources in phase B after targets have read them. Its scalar argument requires H1-H5: no target feeds background registers, frame-zero compensation has the stated form, phase A is background-only, cleanup reverses every background gate, and the target-to-target block is identity. Its arbitrary-dirt identity and mutation checks pass; these finite checks do not independently prove an all-size interleaved-source compiler. + +All inherited compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic-transfer obligations remain conditional. No unconditional multiplication theorem, full Lean proof or measured speedup is claimed. + +Credits: eumemic PR543 (Claude assistance), Dugongue PR548 and PR541 (OpenAI assistance), chafreaky PR544, rohanarun/Claude PR534 frame lifts, icekylinx PR535/531 and phase/compiler ancestry, DreamingOfClouds PR484 and the original authors retained in inputs/ and engines/. Our exact composition and independent replay were prepared for Rohan Arun with OpenAI Codex assistance. diff --git a/research/complex-trace-rank5/local/LICENSE b/research/complex-trace-rank5/local/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/complex-trace-rank5/local/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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Local review and packaging used OpenAI Codex. + +## New work + +Prepared by **icekylinx with GPT-6 Astra assistance**. The new contribution is +the post-center timing and ordered composition of dirty gauges with rank-four +response kernels, including the 14 disjoint M-helper groups, explicit scalar +word, frame and cleanup treatment, independent local argument, physical global +integration, paid accounting, and combined conditional κ assembly. + +The same helper can first serve its own gauge and then donate to a larger +kernel because compensation occurs before the new pivot dirt is injected. +This ordering, its actual frame nesting, and its global use are the substantive +delta. Earlier gauge/kernel primitives and the SAME504 scalar construction +retain their original authorship. + +## Baseline + +[PR531](https://github.com/CrocSwap/integer-mult-bounds/pull/531), by icekylinx +with the disclosed GPT-6 Astra assistance, supplies the SAME504 construction +and the baseline package `research/direct-delivery504-global`. The final +baseline head is `e07a8a3f9f79c22113398a0c5dbbc7601f489b3e`; the scientific +files used here match the original Round20 pins. + +**The original PR531 NOTICE is retained separately and remains applicable.** +That notice records the scalar, geometry, controller, phase, wrapper, hosting, +and analytic ancestry. This short incremental notice does not replace it. + +In particular, DreamingOfClouds's PR484 response/kernel implementation and its +predecessors retain their source notices. Zhihao Chen's PR425 mutable-basis +lemma, the PR425/433/514 scalar lineage, and the previously credited source +and delivery contributions remain attributed through PR531's notice. + +## Adopted bit supplier + +[PR510](https://github.com/CrocSwap/integer-mult-bounds/pull/510), pinned to +`64edee18af02aab0c1696b677a0287dd0146381b`, is by **DreamingOfClouds with +Claude Opus 5.5 assistance via Claude Code**, as disclosed by that package. +Its R480 nine-stage bit endpoint is adopted as a cited conditional dependency. +It is not a new bit-side research result of this delta, and no cold replay +of that full bit pipeline was performed here. + +**The original PR510 NOTICE is retained separately and remains applicable.** +Its ancestry includes eumemic's PR493 carrier-skeleton word; PR503's R480 +dead-total change; chafreaky's PR443/444 replication pipeline; DaysSky's PR442 +whole-residual hosting and PR381 column checker; Zhihao Chen's PR386 geometry; +DreamingOfClouds's PR315 moment engines and pipeline adaptations; and Dylan +Crow's PR370 framework, with the assistance disclosures in those sources. + +The present PR510 mutable-source carryover exposition is by icekylinx with +GPT-6 Astra assistance. It expands the role-independent common-label argument +already present in PR472 and the mutable-basis lemma of PR425; it does not +claim those underlying ideas as new. + +## Comparison, evidence, and licenses + +PR493 is also retained as the former-bit-supplier control. PR533 is used only +for numerical comparison. A cited rate, reused certificate, or prior notice +does not imply a fresh replay in this package; the README states the completed +validation scope. + +Original source headers, notices, licenses, and pinned provenance remain in +force. This incremental notice does not relicense upstream material. New +Python research/audit files carry the Apache-2.0 notice stated in their source +headers. All reported bounds remain conditional on the listed inherited +interfaces. diff --git a/research/complex-trace-rank5/local/NOTICE.md b/research/complex-trace-rank5/local/NOTICE.md new file mode 100644 index 0000000000..1adbe6267c --- /dev/null +++ b/research/complex-trace-rank5/local/NOTICE.md @@ -0,0 +1,29 @@ +# Attribution and scope + +The new work is the exact commuting Steinberg expansion on the PR548 complex +word, its rank-five frame assignment, the deterministic constructor, bounded +search and fresh local replay. Prepared with OpenAI Codex assistance. + +The source word is reconstructed from Dugongue PR548, pinned at +`66dbc2bffc1bfa8d50b3f9a2ac7ccba8fd9f6f36`, using its static44 constructor, +477 PR534 frame lifts and cold-dirt substitution. Its uncompressed content +SHA256 is `7f7bf2315c83eb5dc0bb3502ceae575bfcffa00ad37fd32839114744ac18182c`. +The numerical baseline is the complete complex profile in that PR's +`research/pruned-trace-response/EXPECTED.json`. + +Credit remains with Dugongue for the PR541 static44 response presentation and +PR548 composition; icekylinx for the PR535 post-center rank-four construction +and PR531 direct-delivery supplier; rohanarun for PR534's supplied frame +assignment; and the attributed PR484/PR433 lineage for the gauge/kernel and +normalized-wrapper primitives. The original notices and Apache-2.0 license +are retained unchanged in `NOTICE-upstream.md` and `LICENSE`. The two rational +moment engines retain their source text from the attributed PR361 lineage. + +The local verifier checks an actual scalar word on every arbitrary input +column in both orientations, regenerates cleanup, and reprices the complete +profile. This small package does not independently certify the global owner +template, Clifford phases, complete finite invoice or outer assembly. Those +checks must accompany any conditional exponent claim. The all-size compiler, +common-label/mutable-basis, restored-work, precision/tape and analytic-transfer +contracts remain inherited obligations. No unconditional theorem or Lean +certificate is claimed. diff --git a/research/complex-trace-rank5/local/PROOF.md b/research/complex-trace-rank5/local/PROOF.md new file mode 100644 index 0000000000..b58a9a095d --- /dev/null +++ b/research/complex-trace-rank5/local/PROOF.md @@ -0,0 +1,33 @@ +# Commuting expansion at a lower frame + +In PR548's B word, event 936 is `z283 += z299` and event 1048 is +`z616 += z283`. Both use the rank-six frame +`[290,162,98,24,6,1]`. The latter event commutes with every one of the 111 +intervening scalar events. This is checked from actual targets and sources; +shared-register scale cases are conservatively forbidden. + +For arbitrary values of the three registers, execution of +`j += k; i += j` equals `i += j; i += k; j += k`. +The constructor checks the full rational 3-by-3 operator, performs only the +certified commuting exchanges, and executes all three replacement gates at +the rank-five frame `[290,162,98,24,6]`. Every register chain is checked by the +inherited literal frame simulator. A, the center cut, target levels, entrances, +residual widths and source/target ports remain unchanged. Cleanup is rebuilt +as the literal reverse inverse of the new background gates. + +The exact local paid-profile change is `e1 - e2 - e3 + e4`. Rank mass and +child count remain unchanged. Across 72 complete calls, the changed profile +is charged with the original actual idle remainder and the complete fallback +charge. Two independent rational engines give +`b = 0.001593581126479114854212` and reject the next 10^-24 grid point. +This is a pricing result until fresh global owner and invoice admission. + +The independent scalar auditor reconstructs the complete arbitrary-dirt +compensation, checks all 728 formal input columns in both orientations and +rejects all 44 omitted-pivot controls. A separately run emitted native audit +checks both reflected paid ledgers and rejects 11 structural/wrapper controls; +its receipt is preserved under `evidence/`. Global admission remains separate. + +Run `python -B verify.py --work /absolute/new/output` for the dependency-closed +local reconstruction, arbitrary-dirt replay and exact pricing. No optimizer +or network is used by that command. diff --git a/research/complex-trace-rank5/local/audit_scalar.py b/research/complex-trace-rank5/local/audit_scalar.py new file mode 100644 index 0000000000..834e8b5103 --- /dev/null +++ b/research/complex-trace-rank5/local/audit_scalar.py @@ -0,0 +1,55 @@ +"""Independent exact scalar witness for a selected complex kernel word. +Uses immutable correct-word compensation for omission controls; no repaired +compensation is silently supplied to a mutant. No physical-hosting claim. +""" +import sys,json,gzip,hashlib,copy +from pathlib import Path +from fractions import Fraction as Q +from collections import Counter +p=Path(__file__).resolve().parent +path=Path(sys.argv[1]);selection=Path(sys.argv[2]);out=Path(sys.argv[3]);w=json.loads(gzip.decompress(path.read_bytes()));sel=json.loads(selection.read_text());v=len(w['ports']);n=2*v+w['report']['R'] +def ident():return[{r:Q(1)}for r in range(n)] +def apply(e,rows): + if e[0]=='scale': + _,t,a,b,*_=e;q=Q(a,b);rows[t]={j:q*x for j,x in rows[t].items()};return + _,t,s,a,b,*_=e;q=Q(a,b) + for j,x in list(rows[s].items()): + z=rows[t].get(j,Q(0))+q*x + if z:rows[t][j]=z + else:rows[t].pop(j,None) +def inv(e,dual=False): + e=copy.deepcopy(e) + if e[0]=='add': + e[3]*=-1 + if dual:e[1],e[2]=e[2],e[1] + else:e[2],e[3]=e[3],e[2] + return e +def replay(es): + rows=ident() + for e in es:apply(e,rows) + return rows +main=w['A']+w['cut']+w['B'];mx=replay(main);dirty=[{}for _ in range(n)] +for r in range(v,2*v):dirty[r]={j:x for j,x in mx[r].items()if j>=2*v} +for e in w['precondition']:apply(e,dirty) +comp=[] +for r in range(v,2*v): + for j,x in sorted(dirty[r].items()): + assert not w.get('start_extra',{}).get(str(j)),('nonzero-frame compensation',j) + comp.append(['add',r,j,-x.numerator,x.denominator,[]]) +cleanup=[inv(e)for e in reversed(w['A']+w['B'])if not v<=e[1]<2*v] +assert[e[:-1]for e in cleanup]==[e[:-1]for e in w['cleanup']] +program=w['precondition']+comp+main+cleanup;expected=ident() +for t in range(v):expected[v+t][t]=Q(1) +assert replay(program)==expected +back=ident() +for t in range(v):back[t][v+t]=Q(-1) +assert replay([inv(e,True)for e in program])==back +controls={} +for cl in sel['kernel']: + for h in cl['pivots']: + aa=[e for e in w['A']if not(e[0]=='add'and e[2]==2*v+h and e[1]>=2*v and e[-1]==cl['E'])] + assert len(aa)=0 for n in idle.values()) +new=Counter({r:72*n for r,n in newlocal.items()});new.update(idle) +assert sum(r*n for r,n in new.items())==sum(r*n for r,n in old.items())==520704 +cert=moment.certify(new,73,7168,True);b=Q(cert['lower']);assert b==Q('0.001593581126479114854212');receipts=[] +for x,accept in ((b,True),(b+Q(1,10**24),False)): + lo,hi=base_two_moment.moment(73,7168,list(new.items()),x) + fl,fh=base_two_moment.moment(73,7168,[(1,32*73*73*sum(new.values()))],x) + lo+=fl/10**16;hi+=fh/10**16 + assert hi<1 if accept else lo>1 + receipts.append({'point':str(x),'accept':accept,'lower_minus_one':str(lo-1),'upper_minus_one':str(hi-1)}) +res=dict(status='PASS_EXACT_FIXED_OWNER_PROFILE_PRICE_ONLY',global_profile=dict(sorted(new.items())),fixed_idle_remainder=dict(sorted((r,n) for r,n in idle.items() if n)),complex_lower=str(b),b_decimal=cert['lower'],moment=cert,independent_base_two=receipts,scope='Complete fixed-owner profile, including fallback, repriced by two rational engines. Fresh phases, owner template, finite invoice and assembly are separate requirements.') +a.out.write_text(json.dumps(res,indent=2)+'\n');print(res['status'],res['b_decimal']) diff --git a/research/complex-trace-rank5/local/vendor/base_two_moment.py b/research/complex-trace-rank5/local/vendor/base_two_moment.py new file mode 100644 index 0000000000..14a90fa0e7 --- /dev/null +++ b/research/complex-trace-rank5/local/vendor/base_two_moment.py @@ -0,0 +1,63 @@ +#!/usr/bin/env python3 +"""Maintainer arithmetic cross-check of the pinned PR39 certificate. + +Uses no producer/checker imports. Counts are inputs, not proved by this script. +80-term rational logarithms and 12-term exponentials independently enclose +the two moments. The accompanying written review addresses their realization. +""" +import argparse +from fractions import Fraction as Q +from hashlib import sha256 +import json +from pathlib import Path + +ROOT = Path(__file__).resolve().parents[1] +GRID = 10**30 + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +def log_unit(x): + require(1 <= x <= 2, "logarithm range") + z = (x-1)/(x+1) + lo = 2*sum((z**(2*j+1)/(2*j+1) for j in range(80)), Q(0)) + return lo, lo+2*z**161/(161*(1-z*z)) + + +def log_bounds(x): + k = 0 + while x > 2: + x /= 2 + k += 1 + lo, hi = log_unit(x) + l2, u2 = log_unit(Q(2)) + lo, hi = lo+k*l2, hi+k*u2 + # Outward rational rounding keeps later certificates compact. + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + + +def exp_bounds(x): + require(0 <= x < 1, "exponential range") + term = total = Q(1) + for j in range(1, 13): + term *= x/j + total += term + tail = term*x/13/(1-x/14) + return total, total+tail + + +def moment(m, W, entries, saving): + lo = hi = Q(0) + for t, count in entries: + t, count = int(t), int(count) + require(0 < t < m and count > 0, "improper child") + l, u = log_bounds(Q(m, t)) + lower = exp_bounds(saving*l)[0] + upper = exp_bounds(saving*u)[1] + lo += Q(t*count, m*W)*lower + hi += Q(t*count, m*W)*upper + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + diff --git a/research/complex-trace-rank5/local/vendor/gk/gk_common.py b/research/complex-trace-rank5/local/vendor/gk/gk_common.py new file mode 100644 index 0000000000..0e5fde920d --- /dev/null +++ b/research/complex-trace-rank5/local/vendor/gk/gk_common.py @@ -0,0 +1,94 @@ +"""Shared helpers for the complex shared-donor-kernel / entrance-gauge word. Apache-2.0. +Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. + +A "gk word" is PR #433's FULL-WORD.json.gz with optional extension keys (absent in #433's word, so every default is +#433's behaviour): + start_extra {register: entrance frame (list of F2^9 vectors)} helpers that start at a nonzero frame (width 9 - dim) + target_levels {target: frame} frame a target reaches through nonzero-frame compensation +Entrance gauges are ordinary gates at the head of A (target += c * helper at the entrance frame); kernel updates are +ordinary gates at the head of A (donor += q * pivot at the entrance frame). +""" +import math +from collections import Counter + +V, K, T, L, M = 120, 4, 8, 9, 73 +DATA = 2 * K * V * T # 7680 +FULL = tuple(1 << i for i in range(8, -1, -1)) + + +def basis(vs): + b = {} + for x in vs: + for p in sorted(b, reverse=True): + if x >> p & 1: x ^= b[p] + if x: + p = x.bit_length() - 1 + for q in b: + if b[q] >> p & 1: b[q] ^= x + b[p] = x + return tuple(b[p] for p in sorted(b, reverse=True)) + + +def widths_of(word): + """residual width of every helper: 9 - dim(entrance frame); 9 when the word has no extension""" + R = word['report']['R'] if 'R' not in word else word['R'] + w = [L] * R + for r, E in word.get('start_extra', {}).items(): + assert 2 * V <= int(r) < 2 * V + R + w[int(r) - 2 * V] = L - len(basis(E)) + return w + + +def split_pad(p): + """a pad of rank p is paid as nested commuting children of rank <= 51 (so that 73^2 > 2*child^2); rank 1 stays 1""" + if p == 0: return [] + n = -(-p // 51); return [p // n + (1 if i < p % n else 0) for i in range(n)] + + +def tile(items): + """Bank tiling of unhosted residuals. items: list of (rep, helper, width); a bank has M = 73 cells. + * width-9 residuals (no wrapper acts on them): first fit in the given order, packed from offset 0, eight per bank, pad rank 1 + (PR #433/#442's tiling and routes [2, slot]); + * ENTERING residuals (width w < 9, paid wrappers, e = 9 - w spectators): banks of their own in which every entering helper is the ONLY + owner of its bank family in its invocation (the one-helper rule of PR #458 extended to banks): bank j holds the j-th entering + helper of each replica, residuals packed from offset 0 in replica order (at most one helper per replica, hence per invocation). + The spectators of an entering helper are the first e cells of the bank beyond every residual cell of the bank (the pad, which no call + uses for a residual, is paid as before: rank 73 - sum of widths; the spectators are borrowed inside it and not deducted). + Returns (assign, banks, pads): assign[(rep, helper)] = (bank, offset, width, pure, spectators) with pure = the bank holds only width-9 + residuals and spectators = () for width 9; pads = Counter of pad ranks (split into children of rank <= 51).""" + assign = {}; pads = Counter(); fill = [] + for z, (rep, h, w) in enumerate(items): # width 9: first fit, as PR #433 (all widths 9 reproduces it exactly) + if w != L: continue + for b, f in enumerate(fill): + if f + w <= M: break + else: + b = len(fill); fill.append(0) + assign[(rep, h)] = (b, fill[b], w, True, ()); fill[b] += w + nwide = len(fill); byrep = {} + for rep, h, w in items: + if w < L: byrep.setdefault(rep, []).append((h, w)) + cells = [0] * max((len(v) for v in byrep.values()), default=0); emax = [0] * len(cells); place = {} + for rep in sorted(byrep): # the j-th entering helper of every replica goes to entering bank j + for j, (h, w) in enumerate(byrep[rep]): + place[(rep, h)] = (nwide + j, cells[j], w); cells[j] += w; emax[j] = max(emax[j], L - w) + for j in range(len(cells)): assert cells[j] + emax[j] <= M, ('entering bank without room for its spectators', j) + for (rep, h), (b, off, w) in place.items(): + assign[(rep, h)] = (b, off, w, False, tuple(range(cells[b - nwide], cells[b - nwide] + L - w))) + fill += cells + for f in fill: + for part in split_pad(M - f): pads[part] += 1 + return assign, len(fill), pads + + +def route(off, w, pure, sp=()): + """owner route of a banked helper residual: PR #433's [2, slot] for width 9 (pure width-9 bank); an entering helper (w < 9) is + [2, offset, width, [spectator cells]] with e = 9 - w spectators""" + if w == L: assert pure and not sp; return [2, off // L] + assert not pure and len(sp) == L - w; return [2, off, w, list(sp)] + + +def unhosted_stock(widths): + """live stock and padding histogram of the unhosted (parent) template, per stage x nine""" + R = len(widths) + _, nb, pads = tile([(rep, h, widths[h]) for rep in range(T) for h in range(R)]) + return DATA + L * nb, Counter({r: z * L for r, z in pads.items()}) diff --git a/research/complex-trace-rank5/local/vendor/gk/gk_word.py b/research/complex-trace-rank5/local/vendor/gk/gk_word.py new file mode 100644 index 0000000000..15782ba625 --- /dev/null +++ b/research/complex-trace-rank5/local/vendor/gk/gk_word.py @@ -0,0 +1,194 @@ +"""Apply a frozen selection (shared-donor kernel + entrance gauges) to PR #433's complex word. Apache-2.0. +Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. +usage: gk_word.py BASE_FULL-WORD.json.gz SELECTION.json OUT_FULL-WORD.json.gz +An empty selection ({}) copies the input byte for byte (regression anchor). + +selection = {"kernel": [{"E": [x], "donors": [h..], "pivots": [h..]}..], "gauge": {"h": [x..]}} (h = helper index 0..R-1) +Kernel (PR #417/#435/#434/#440): a pivot starts at E; every donor receives donor += -q * pivot at frame E before the main +word, where col(pivot) = sum q_d col(d) are the exact dirty-response columns; the pivot's frame-zero compensation vanishes. +Gauge (#401/#408-#416): the compensation target += -C[t,h] * helper of helper h is executed at frame E_h as the first gates +of the main word; h starts at E_h and its targets climb to the level L_t = largest E over their entering helpers. +The exact verification is the arbitrary-dirt replay of audit_gk.py; this module also checks the structural conditions.""" +import copy, gzip, hashlib, json, sys +from collections import Counter, defaultdict +from fractions import Fraction as Q +from pathlib import Path +sys.path.insert(0, str(Path(__file__).resolve().parent)) +from gk_common import * + + +def apply_op(e, rows): + if e[0] == 'scale': + _, t, a, b, *_ = e; q = Q(a, b); rows[t] = {j: q * x for j, x in rows[t].items()} + else: + _, t, s, a, b, *_ = e; q = Q(a, b) + for j, x in list(rows[s].items()): + z = rows[t].get(j, Q(0)) + q * x + if z: rows[t][j] = z + else: rows[t].pop(j, None) + + +def inverse(e, F): + e = copy.deepcopy(e) + if e[0] == 'add': e[3] *= -1 + else: e[2], e[3] = e[3], e[2] + e[-1] = list(F); return e + + +def responses(word): + """dirty-response columns col[h] = {target: coefficient} of the unmodified word (after the frame-zero preconditioner)""" + R = word['report']['R']; n = 2 * V + R + rows = [{r: Q(1)} for r in range(n)] + for e in word['A'] + word['cut'] + word['B']: apply_op(e, rows) + dirty = [{} for _ in range(n)] + for r in range(V, 2 * V): dirty[r] = {j: x for j, x in rows[r].items() if j >= 2 * V} + for e in word['precondition']: apply_op(e, dirty) + col = [{} for _ in range(R)] + for r in range(V, 2 * V): + for j, x in dirty[r].items(): col[j - 2 * V][r - V] = x + return col + + +def first_frames(word): + first = {} + for seq in (word['A'], word['B']): + for e in seq: + F = basis(e[-1]) + for r in [e[1]] + ([e[2]] if e[0] == 'add' else []): + if r >= 2 * V: first.setdefault(r - 2 * V, F) + return first + + +def solve_relation(col, donors, p): + """exact rational c with col[p] = sum_d c_d col[d]; None if p is not in the span""" + ts = sorted({t for d in donors for t in col[d]} | set(col[p])) + idx = {t: i for i, t in enumerate(ts)} + Mx = [[Q(0)] * (len(donors) + 1) for _ in ts] + for ci, d in enumerate(donors): + for t, x in col[d].items(): Mx[idx[t]][ci] = x + for t, x in col[p].items(): Mx[idx[t]][-1] = x + piv = []; r = 0 + for c in range(len(donors)): + pr = next((i for i in range(r, len(Mx)) if Mx[i][c]), None) + if pr is None: continue + Mx[r], Mx[pr] = Mx[pr], Mx[r]; q = Mx[r][c]; Mx[r] = [x / q for x in Mx[r]] + for i in range(len(Mx)): + if i != r and Mx[i][c]: + f = Mx[i][c]; Mx[i] = [a - f * b for a, b in zip(Mx[i], Mx[r])] + piv.append(c); r += 1 + if any(Mx[i][-1] for i in range(r, len(Mx))): return None + assert r == len(donors), 'donors must have independent response columns' + return {donors[c]: Mx[i][-1] for i, c in enumerate(piv) if Mx[i][-1]} + + +def span(U): + s = {0} + for b in U: s |= {x ^ b for x in s} + return s + + +def perp(x): return basis([z for z in range(1, 512) if not (x & z).bit_count() % 2]) + + +def profile(word): + """local paid profile of a gk word by direct simulation of the frame chains (second implementation: audit_gk.py)""" + R = word['report']['R']; n = 2 * V + R; P = word['ports'] + cur = {} + for r in range(n): + cur[r] = (P[r],) if r < V else ((basis(word['start_extra'][str(r)]) if str(r) in word.get('start_extra', {}) else ()) if r >= 2 * V else ()) + paid = Counter() + def climb(r, F): + F = basis(F); o = cur[r] + assert basis(list(o) + list(F)) == F, ('frame violation', r, o, F) + if o != F: paid[len(F) - len(o)] += 1; cur[r] = F + lev = {int(t): basis(E) for t, E in word.get('target_levels', {}).items()} + for seq, part in ((word['A'], 'A'), (word['B'], 'B')): + if part == 'B': + for r, f in zip(word['centers'], word['center_frames']): + assert cur[r] == basis(f), 'centre frame' + served = sorted({lev.get(e[1] - V, ()) for e in word['cut'] if e[2] == r}, key=lambda E: -len(E)) + o = basis(f) + for Lv in served: + assert span(Lv) <= span(o), 'served levels must descend inside the centre frame' + if Lv != o: paid[len(o) - len(Lv)] += 1; o = Lv + for t in range(V): assert cur[V + t] == lev.get(t, ()), 'target level at the centre scatter' + for e in seq: + for r in [e[1]] + ([e[2]] if e[0] == 'add' else []): climb(r, e[-1]) + for r in range(n): climb(r, FULL if (r < V or r >= 2 * V) else perp(P[r - V])) + return paid + + +def global_profile(local, widths): + """unhosted nine-stage profile: local x (stages*replicas) + the 240*8 idle children per rank + bank pads""" + live, pads = unhosted_stock(widths) + g = Counter({r: z * L * T for r, z in local.items()}) + for r in (16, 8, 32, 8, 48, 8, 48, 32, 16): g[r] += 240 * T + g.update(pads) + return live, g + + +def build(word, sel, check=True): # check=False only for the mutation controls that must be caught by the certifying scripts + if not sel: return word + w = copy.deepcopy(word); R = w['report']['R'] + col = responses(word); first = first_frames(word) + gauge = {int(h): basis(E) for h, E in sel.get('gauge', {}).items()} + classes = sel.get('kernel', []) + pivots = {p for c in classes for p in c['pivots']}; donors = {d for c in classes for d in c['donors']} + assert not (pivots & donors) and not (pivots | donors) & set(gauge) and len(pivots) == sum(len(c['pivots']) for c in classes) + # --- structural conditions ------------------------------------------------------------------------------------- + for h, E in gauge.items(): + assert not check or span(E) <= span(first[h]), ('gauge entrance outside the first frame', h) + levels = defaultdict(list) + for h, E in gauge.items(): + for t in col[h]: levels[t].append(E) + for t, Es in levels.items(): # pairwise nested comps per target + for a in Es: + for b in Es: assert not check or span(a) <= span(b) or span(b) <= span(a), ('non-nested gauges at target', t) + lev = {t: max(Es, key=len) for t, Es in levels.items()} + for k, r in enumerate(w['centers']): # chain per centre, inside the centre frame + served = {lev.get(e[1] - V, ()) for e in w['cut'] if e[2] == r} + for a in served: + for b in served: assert not check or span(a) <= span(b) or span(b) <= span(a), ('centre chain', k) + top = max(served, key=len) + assert not check or span(top) <= span(basis(w['center_frames'][k])), ('level outside centre frame', k) + # --- gates ---------------------------------------------------------------------------------------------------------- + gates = [] + for h, E in sorted(gauge.items(), key=lambda kv: (len(kv[1]), kv[0])): + for t, x in sorted(col[h].items()): + c = -x; gates.append(['add', V + t, 2 * V + h, c.numerator, c.denominator, list(E)]) + pre = [] + start = {2 * V + h: list(E) for h, E in gauge.items()} + for cl in sorted(classes, key=lambda c: (len(c['E']), c['E'])): + E = basis(cl['E']) + for x in [*cl['donors'], *cl['pivots']]: assert span(E) <= span(first[x]), ('kernel entrance outside the first frame', x) + for p in cl['pivots']: + rel = solve_relation(col, cl['donors'], p) + assert rel is not None, ('pivot response not in the donor span', p) + start[2 * V + p] = list(E) + for d, c in rel.items(): + q = -c; pre.append(['add', 2 * V + d, 2 * V + p, q.numerator, q.denominator, list(E)]) + w['A'] = gates + pre + w['A'] + w['cleanup'] = [inverse(e, FULL) for e in reversed(w['A'] + w['B']) if not V <= e[1] < 2 * V] + w['start_extra'] = {str(r): list(E) for r, E in sorted(start.items())} + w['target_levels'] = {str(t): list(E) for t, E in sorted(lev.items()) if E} + if not check: return w + prof = profile(w); widths = widths_of(w) + live, g = global_profile(prof, widths) + w['report']['local_profile'] = {str(k): z for k, z in sorted(prof.items())} + w['report']['global_profile'] = {str(k): z for k, z in sorted(g.items())} + w['report']['live'] = live + w['report']['entrance_rank'] = sum(L - x for x in widths); w['report']['entering_helpers'] = sum(1 for x in widths if x < L) + w['report']['selection_sha256'] = hashlib.sha256(json.dumps(sel, sort_keys=True).encode()).hexdigest() + return w + + +def dump(w): return gzip.compress(json.dumps(w, sort_keys=True, separators=(',', ':')).encode(), mtime=0) + + +if __name__ == '__main__': + src, selp, out = map(Path, sys.argv[1:4]) + sel = json.loads(selp.read_text()) + if not sel: out.write_bytes(src.read_bytes()); print('empty selection: copied byte for byte'); sys.exit(0) + word = json.load(gzip.open(src)); w = build(word, sel); out.write_bytes(dump(w)) + print('gk word: entering helpers', w['report']['entering_helpers'], 'entrance rank', w['report']['entrance_rank'], + 'local profile', w['report']['local_profile'], 'unhosted live', w['report']['live']) diff --git a/research/complex-trace-rank5/local/vendor/moment.py b/research/complex-trace-rank5/local/vendor/moment.py new file mode 100644 index 0000000000..7d697cb452 --- /dev/null +++ b/research/complex-trace-rank5/local/vendor/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]<1=18 + return raw[:9]+b'\xff'+raw[10:] +gzip.compress=compress_portable +script=Path(sys.argv[1]).resolve() +sys.argv=sys.argv[1:] +sys.path.insert(0,str(script.parent)) +runpy.run_path(str(script),run_name='__main__') diff --git a/research/complex-trace-rank5/physical/data/RETAINED-INVOICE.json b/research/complex-trace-rank5/physical/data/RETAINED-INVOICE.json new file mode 100644 index 0000000000..a16bf40bcc --- /dev/null +++ b/research/complex-trace-rank5/physical/data/RETAINED-INVOICE.json @@ -0,0 +1,105 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE", + "template_sha256": "ed47b5454779f7ad6b32ae492a13f8b5172b11c94c3877cbc5cc5d7a4c357738", + "parent_template_sha256": "9bebafae2c7e21a8a134cc9f2d4709c075b1641abafc33825d116b2508253ceb", + "owner_audit_sha256": "e5f11e7b920f9985f085546c641dbac5b8d98231d562e1e030ab2566ccea4bd6", + "controller_audit_sha256": "01ea0015d4e08170ac65f1cdd051be64e07f622eba62eadbf39524317388cba7", + "independent_local_replay_sha256": "4149f3d2ec3041965c5d72869748090d9aeed422f36d753550c543bb7808b30b", + "canonical_word_sha256": "de2be0f4b6d24ace368fd5b834b7a00f9625d0a1824c4ff969f2db5f115db667", + "local_programs_sha256": "755a5c4ebe958fd9f7b5d4a6e7a506d2c802e31c4d9da46b63db1994c4d8ffa6", + "local_checks_sha256": "c6807681d40cb46c21a50edc1058044ddc758f2dd3e6b0bab16d7cb28d41732f", + "global_prefix_bits": 225, + "charged_prefix_bits": 512, + "complete_invocation_sweeps": 72, + "bridge_sweeps": 72, + "row_prefix_extra": 1024, + "local": { + "backward": { + "events": 22937, + "macros": 17872, + "real_component_primitives": 177740, + "prefix_l1": "1014379823310", + "prefix_bits": 40, + "coefficient_work_primitive_count": 88098, + "all_exact_columns": 728, + "dirty_helper_columns": 504, + "all_dirty_helper_columns_restored": true, + "private_centres_and_coefficient_work_cleared": true, + "pre_wrappers": 152, + "post_wrappers": 152, + "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json" + }, + "forward": { + "events": 22937, + "macros": 17872, + "real_component_primitives": 177692, + "prefix_l1": "86491024246", + "prefix_bits": 37, + "coefficient_work_primitive_count": 88066, + "all_exact_columns": 728, + "dirty_helper_columns": 504, + "all_dirty_helper_columns_restored": true, + "private_centres_and_coefficient_work_cleared": true, + "pre_wrappers": 152, + "post_wrappers": 152, + "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json" + } + }, + "helpers": 504, + "centres": 8, + "live": 7168, + "physical": 7682, + "physical_stock_identity": { + "data_and_owner_families": 7168, + "local_helpers": 504, + "private_centres": 8, + "coefficient_work": 2 + }, + "entering_helpers": 152, + "entrance_rank": 152, + "width_inventory": { + "8": 152, + "9": 352 + }, + "local_adapters": 357568, + "local_primitive_bound": 9273288832588, + "wrapper_elementary_factors_charged": 3151872, + "factors_per_wrapper": 144, + "compiler": 25934336, + "unhosted_pervertex": 1361655146111768, + "hosted_rebased_pervertex": 1361655145812392, + "conservative_pervertex_used": 2877946989724568, + "retained_prior_overcharge": { + "sha256": "bb43ef04791037a37d2596c395e81191991fde6581326118995cf4318ee472a3", + "previous_pervertex_allowance": 1516291843612800, + "added_complete_new_pervertex": 1361655146111768, + "policy": "Retain old allowance and add the entire fresh recount." + }, + "finite": { + "physical_stock_bits": 2641, + "router_bits": 7985, + "literal_bits": 35282, + "physical_row_coefficient": 16467, + "retained_row_coefficient": 20161, + "required_C0_bits": 200012, + "halving_integer_inequality": [ + 5329, + 4608 + ], + "G_exponent": 30000, + "E_exponent": 100000, + "C0_exponent": 210000 + }, + "strict_checks": { + "local_primitive_bound": true, + "logical": true, + "router": true, + "literal": true, + "mass": true, + "precision": true, + "tape": true, + "row": true, + "halving": true + }, + "scope": "Fresh emitted primitive/Horner, prefix, wrapper and finite recount, using the hash-bound independent local all-column/frame replay and actual whole-owner audit. No old INTEGRATION receipt is used to certify the changed word. The inherited all-size compiler, precision/tape and analytic-transfer contracts remain conditional. Retained payload 512 and physical row allowance 20161 are unchanged." +} diff --git a/research/complex-trace-rank5/physical/data/ROUTING-CANONICAL-WORD.json.gz b/research/complex-trace-rank5/physical/data/ROUTING-CANONICAL-WORD.json.gz new file mode 100644 index 0000000000..cbb49a6277 Binary files /dev/null and b/research/complex-trace-rank5/physical/data/ROUTING-CANONICAL-WORD.json.gz differ diff --git a/research/complex-trace-rank5/physical/data/SAT-OWNERS.json.gz b/research/complex-trace-rank5/physical/data/SAT-OWNERS.json.gz new file mode 100644 index 0000000000..243bc54840 Binary files /dev/null and b/research/complex-trace-rank5/physical/data/SAT-OWNERS.json.gz differ diff --git a/research/complex-trace-rank5/physical/data/SAT534-PLAN.json b/research/complex-trace-rank5/physical/data/SAT534-PLAN.json new file mode 100644 index 0000000000..8979f0db18 --- /dev/null +++ b/research/complex-trace-rank5/physical/data/SAT534-PLAN.json @@ -0,0 +1,11388 @@ +{ + "status": 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a/research/complex-trace-rank5/physical/data/controller-input/work/complex-nine-native/DATA-PHASES.json b/research/complex-trace-rank5/physical/data/controller-input/work/complex-nine-native/DATA-PHASES.json new file mode 100644 index 0000000000..d9a4f84211 --- /dev/null +++ b/research/complex-trace-rank5/physical/data/controller-input/work/complex-nine-native/DATA-PHASES.json @@ -0,0 +1 @@ +{"cover_correction":{"complete_small_cover_checks":[{"n":1,"nonzero_full_kernel_corrections":0,"orthogonal_matrices":1},{"n":2,"nonzero_full_kernel_corrections":0,"orthogonal_matrices":2},{"n":3,"nonzero_full_kernel_corrections":0,"orthogonal_matrices":6},{"n":4,"nonzero_full_kernel_corrections":24,"orthogonal_matrices":48},{"n":5,"nonzero_full_kernel_corrections":600,"orthogonal_matrices":720}],"formula":"delta(g)_i = (weight(row_i(g))-1)/2 mod 2; apply X_delta(g) to EVERY final live stream in cover class g.","mandatory":true,"reason":"P_g C_all P_g^-1 = C_all X_delta(g) exactly. Orthogonality cancels all quadratic cross terms; both sides fix the uniform vector."},"global_phase_argument":"Every C_q and every linear address permutation fixes the uniform vector. 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complete recipe is unchanged except its port index; the retained parent polynomial checks establish every selected equality.","scope":"All compressed data boundary operators, idle children, terminal X_q and all-live cover correction. Internal arbitrary-subspace canonical labels are checked separately.","source_parent_sha256":"f621f6d4296cb215f334830356c5f79fe10d6d04d15b3ccda76ba0885ab67d0a","status":"PASS_EXACT_Z4_DATA_ROUTE_IDLE_AND_TERMINAL_PHASES","terminal_omission_controls_rejected":112} diff --git a/research/complex-trace-rank5/physical/data/controller-input/work/pr361/code/engines/base_two_moment.py b/research/complex-trace-rank5/physical/data/controller-input/work/pr361/code/engines/base_two_moment.py new file mode 100644 index 0000000000..14a90fa0e7 --- /dev/null +++ b/research/complex-trace-rank5/physical/data/controller-input/work/pr361/code/engines/base_two_moment.py @@ -0,0 +1,63 @@ +#!/usr/bin/env python3 +"""Maintainer arithmetic cross-check of the pinned PR39 certificate. + +Uses no producer/checker imports. Counts are inputs, not proved by this script. +80-term rational logarithms and 12-term exponentials independently enclose +the two moments. The accompanying written review addresses their realization. +""" +import argparse +from fractions import Fraction as Q +from hashlib import sha256 +import json +from pathlib import Path + +ROOT = Path(__file__).resolve().parents[1] +GRID = 10**30 + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +def log_unit(x): + require(1 <= x <= 2, "logarithm range") + z = (x-1)/(x+1) + lo = 2*sum((z**(2*j+1)/(2*j+1) for j in range(80)), Q(0)) + return lo, lo+2*z**161/(161*(1-z*z)) + + +def log_bounds(x): + k = 0 + while x > 2: + x /= 2 + k += 1 + lo, hi = log_unit(x) + l2, u2 = log_unit(Q(2)) + lo, hi = lo+k*l2, hi+k*u2 + # Outward rational rounding keeps later certificates compact. + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + + +def exp_bounds(x): + require(0 <= x < 1, "exponential range") + term = total = Q(1) + for j in range(1, 13): + term *= x/j + total += term + tail = term*x/13/(1-x/14) + return total, total+tail + + +def moment(m, W, entries, saving): + lo = hi = Q(0) + for t, count in entries: + t, count = int(t), int(count) + require(0 < t < m and count > 0, "improper child") + l, u = log_bounds(Q(m, t)) + lower = exp_bounds(saving*l)[0] + upper = exp_bounds(saving*u)[1] + lo += Q(t*count, m*W)*lower + hi += Q(t*count, m*W)*upper + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + diff --git a/research/complex-trace-rank5/physical/data/controller-input/work/pr361/code/engines/moment.py b/research/complex-trace-rank5/physical/data/controller-input/work/pr361/code/engines/moment.py new file mode 100644 index 0000000000..7d697cb452 --- /dev/null +++ b/research/complex-trace-rank5/physical/data/controller-input/work/pr361/code/engines/moment.py @@ -0,0 +1,113 @@ +"""Independent prospective ordinary five-stage cost, never supplier admission. + +Consumes a raw one-invocation ledger made from the actual source/internal/target +paths. No packed profile is used as an input. Missing physical/finite/compiler +obligations must remain explicit in the accompanying report. +""" +from collections import Counter +from decimal import Decimal, localcontext, ROUND_FLOOR +from fractions import Fraction as F +from functools import lru_cache +from math import factorial +import hashlib, json, sys +from pathlib import Path + +DYAD = 1 << 224 + +def floor(x): return F(x.numerator*DYAD//x.denominator, DYAD) +def ceil(x): return -floor(-x) + +@lru_cache(None) +def logarithm(x): + """Mercator bounds after binary reduction; ln(2) via two Mercator sums. + + For 1 <= y < 2, log(y) is an alternating series in z=y-1. + We instead reduce to 1 <= y < 3/2, and bound log(3/2) and + log(2) by the same alternating series at z=1/2 and z=1/3, + using log(2)=log(3/2)+log(4/3). All sums are exact rationals. + """ + assert x >= 1 + k = 0 + while x >= 2: x /= 2; k += 1 + j = int(x >= F(3, 2)) + if j: x /= F(3, 2) + def mercator(y): + z=y-1 + assert 0 <= z <= F(1,2) + # An even partial sum is below log; the next term bounds its tail. + t=z; s=F(0) + for n in range(1, 225): + s += (t if n & 1 else -t)/n + t *= z + return s, s+t/225 + a,b=mercator(x); c,d=mercator(F(3,2)); e,f=mercator(F(4,3)) + return floor(a+(k+j)*c+k*e), ceil(b+(k+j)*d+k*f) + +def exponential(l,u): + assert 0 <= l <= u < F(1,10) + def poly(x): + s=t=F(1) + for j in range(1,25): t=t*x/j; s+=t + return s,t + lo,_=poly(l);hi,last=poly(u) + return floor(lo),ceil(hi+last*u/25/(1-u/26)) + +def moment(H,m,W,a,bad=False): + lo=hi=F(0) + for r,n in H.items(): + assert 0 < r < m and n > 0 + l,u=logarithm(F(m,r)); e,f=exponential(a*l,a*u) + p=F(r*n,m*W);lo+=p*e;hi+=p*f + if bad: + # Existing envelope shape, only conditionally portable to the new cover. + l,u=logarithm(F(m));e,f=exponential(a*l,a*u) + p=F(32*m*sum(H.values()),10**16*W) + lo+=p*e;hi+=p*f + return floor(lo),ceil(hi) + +def decimal(x): + with localcontext() as c: + c.prec=70 + return str(Decimal(x.numerator)/Decimal(x.denominator)) + +def certify(H,m,W,bad=False): + with localcontext() as c: + c.prec=70 + terms=[(Decimal(r*n)/Decimal(m*W),(Decimal(m)/Decimal(r)).ln()) for r,n in H.items()] + fallback=Decimal(32*m*sum(H.values()))/Decimal(10**16*W) if bad else Decimal(0) + lm=Decimal(m).ln();lo=Decimal(0);hi=Decimal('.003') + for _ in range(210): + a=(lo+hi)/2 + if sum(p*(a*l).exp() for p,l in terms)+fallback*(a*lm).exp()<1:lo=a + else:hi=a + q=int(((lo+hi)/2*10**24).to_integral_value(rounding=ROUND_FLOOR)) + lo=F(q,10**24);hi=lo+F(1,10**24) + lv=moment(H,m,W,lo,bad);hv=moment(H,m,W,hi,bad) + assert lv[1]<10 for v in slacks.values()),{k:str(v) for k,v in slacks.items() if v<=0} + assert min(margins.values())==minimum + assert margins['balanced_prefix']-minimum==eta and 1-eps-r==eta/2 + assert 1-eps*(1+c)==eta-eps*eta/4 + 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/complex-trace-rank5/physical/replay.py b/research/complex-trace-rank5/physical/replay.py new file mode 100644 index 0000000000..32ee43a33a --- /dev/null +++ b/research/complex-trace-rank5/physical/replay.py @@ -0,0 +1,69 @@ +"""Fresh complex-only scalar, frame, phase, owner and finite-invoice admission. + +All mathematical verifier sources and data are pinned in UPSTREAM-SOURCES.json. +This orchestration harness was prepared with OpenAI Codex assistance. Apache-2.0. +""" +import argparse,gzip,hashlib,json,os,shutil,subprocess,sys,time +from pathlib import Path +if not __debug__:raise SystemExit('Assertions must remain enabled') +ROOT=Path(__file__).resolve().parent +ap=argparse.ArgumentParser(description=__doc__) +ap.add_argument('--word',type=Path,required=True) +ap.add_argument('--word-sha256',required=True) +ap.add_argument('--out',type=Path,required=True) +ap.add_argument('--expected-price',type=Path) +ap.add_argument('--plan',type=Path,help='Optional new plan; only its complete profile may differ from pinned548.') +a=ap.parse_args();O=a.out.resolve();assert not O.exists() and not O.is_relative_to(ROOT) +def read(p):return json.loads(gzip.decompress(p.read_bytes()) if p.suffix=='.gz' else p.read_bytes()) +def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest() +def dump(p,x):p.write_text(json.dumps(x,indent=2)+'\n',encoding='utf-8') +def blob(b):return hashlib.sha1(b'blob '+str(len(b)).encode()+b'\0'+b).hexdigest() +for rel,pin in read(ROOT/'UPSTREAM-SOURCES.json')['files'].items(): + b=(ROOT/rel).read_bytes();assert blob(b)==pin['git_blob_sha1'] and sha(ROOT/rel)==pin['sha256'] and len(b)==pin['bytes'],rel +assert sha(a.word)==a.word_sha256,'constructor word hash mismatch' +O.mkdir(parents=True);inp=O/'inputs';inp.mkdir();shutil.copyfile(a.word,inp/'FULL-WORD.json.gz') +if a.expected_price:shutil.copyfile(a.expected_price,inp/'EXPECTED-PRICE.json') +baseline=read(ROOT/'data/SAT534-PLAN.json') +plan=read(a.plan)if a.plan else baseline +assert {k:v for k,v in plan.items()if k!='profile'}=={k:v for k,v in baseline.items()if k!='profile'},'changed controller/window geometry' +if a.expected_price:assert plan['profile']==read(inp/'EXPECTED-PRICE.json')['global_profile'] +if a.plan:shutil.copyfile(a.plan,inp/'PLAN.json') +else:shutil.copyfile(ROOT/'data/SAT534-PLAN.json',inp/'PLAN.json') +dump(inp/'PLAN-CHECK.json',dict(pinned_plan_sha256=sha(ROOT/'data/SAT534-PLAN.json'),actual_plan_sha256=sha(inp/'PLAN.json'),changed_fields=['profile']if plan['profile']!=baseline['profile']else[],all_non_profile_fields_equal=True)) +P=ROOT/'vendor/pr531';D=ROOT/'data';stages=[];began=time.monotonic() +env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1',PYTHONINTMAXSTRDIGITS='0',PYTHONUTF8='1');env.pop('PYTHONOPTIMIZE',None) +def run(name,script,*args): + t=time.monotonic();log=O/(name+'.log');print('RUN',name,flush=True) + cmd=[sys.executable,'-B',str(ROOT/'code/run_portable.py'),str(script),*map(str,args)] + with log.open('w',encoding='utf-8',newline='\n')as f:r=subprocess.run(cmd,env=env,stdout=f,stderr=subprocess.STDOUT) + stages.append(dict(name=name,exit_code=r.returncode,seconds=time.monotonic()-t,script=script.relative_to(ROOT).as_posix(),script_sha256=sha(script),log_sha256=sha(log))) + dump(O/'STAGES.json',stages) + if r.returncode:raise RuntimeError(name+' failed\n'+log.read_text()[-6000:]) + print('PASS',name,flush=True) +try: + local=O/'complex-local';base=O/'complex-base';host=O/'complex-hosted';audit=O/'complex-audit';audit.mkdir() + run('complex-scalar-frame-transport',P/'code/audit_and_transport.py','--raw',inp/'FULL-WORD.json.gz','--routing',D/'ROUTING-CANONICAL-WORD.json.gz','--out',local) + run('complex-emit-local',P/'code/emit_local.py',local) + run('complex-independent-local',P/'code/audit_local.py',local) + run('complex-normalized-wrappers',P/'code/adapters_local.py',local/'CANONICAL-WORD.json.gz',local/'RESIDUAL-ADAPTERS.json',local/'WRAPPER-CHECKS.json') + run('complex-every-local-phase',ROOT/'code/phases_full.py',local,P/'vendor/clifford') + run('complex-bind-retained-data',P/'code/prepare_supplier_base.py','--data-base',D/'controller-input','--local',local,'--out',base) + run('complex-emit-whole-owners',P/'code/emit_supplier_hosted.py','--base',base,'--owners',D/'SAT-OWNERS.json.gz','--plan',inp/'PLAN.json','--out',host) + run('complex-independent-owners-and-controls',P/'code/audit_supplier_hosted.py',base,host,audit/'ASYNC-AUDIT.json','--mutation-controls') + run('complex-finite-invoice',P/'code/invoice_final.py','--base',base,'--hosted',host,'--audit',audit,'--out',audit,'--retained-invoice',D/'RETAINED-INVOICE.json') + owner=read(audit/'OWNERS-AND-PROFILE.json');invoice=read(audit/'PREFIX-AND-INVOICE.json');phase=read(local/'CLIFFORD-REVIEW.json');controls=read(audit/'ASYNC-AUDIT.json');native=read(local/'INDEPENDENT-LOCAL-REPLAY.json') + assert phase['all_child_equalities_include_global_phase'] and phase['endpoint_adapters']==224 + assert controls['mutation_controls_run'] and len(controls['mutations_rejected'])==7 + assert all(invoice['strict_checks'].values()) and owner['template_sha256']==invoice['template_sha256'] + for orientation in ('forward','backward'): + j=invoice['local'][orientation] + assert j['all_exact_columns']==728 and j['dirty_helper_columns']==504 and j['all_dirty_helper_columns_restored'] and j['private_centres_and_coefficient_work_cleared'] + assert native['paid_profiles']['forward']==native['paid_profiles']['backward'] + if a.expected_price:assert owner['paid_profile']==read(inp/'EXPECTED-PRICE.json')['global_profile'] + result=dict(status='PASS_FRESH_COMPLEX_ONLY_FULL_PHYSICAL_ADMISSION',input_word_sha256=a.word_sha256,canonical_word_sha256=sha(local/'CANONICAL-WORD.json.gz'),local_program_sha256=sha(local/'LOCAL-PROGRAMS.json.gz'),phase_recipe_sha256=sha(local/'CLIFFORD-RECIPES.json'),template_sha256=owner['template_sha256'],local_profile=native['paid_profiles']['forward'],global_profile=owner['paid_profile'],live=owner['live'],physical=owner['physical'],deficit=owner['deficit'],hosted_residuals=owner['hosted_residuals'],actual_charts=owner['actual_73column_sigmas'],phase_edges=phase['directed_edges'],endpoint_adapters=phase['endpoint_adapters'],prefix_bits=invoice['global_prefix_bits'],charged_prefix_bits=invoice['charged_prefix_bits'],seconds=time.monotonic()-began,python=sys.version,scope='Finite complex-only admission. No bit replay or outer assembly is claimed here; retained all-size, common-label, hosting and analytic contracts remain conditional.') + dump(O/'RESULT.json',result) + paths=['inputs/FULL-WORD.json.gz','inputs/PLAN.json','inputs/PLAN-CHECK.json','complex-local/INDEPENDENT-LOCAL-REPLAY.json','complex-local/CLIFFORD-REVIEW.json','complex-local/WRAPPER-CHECKS.json','complex-audit/ASYNC-AUDIT.json','complex-audit/OWNERS-AND-PROFILE.json','complex-audit/PREFIX-AND-INVOICE.json','RESULT.json'] + dump(O/'RECEIPT.json',dict(status=result['status'],source_pins_sha256=sha(ROOT/'UPSTREAM-SOURCES.json'),harness_sha256=sha(Path(__file__)),stages=stages,artifacts={p:sha(O/p)for p in paths})) + print(result['status'],result['seconds'],flush=True) +except BaseException as e: + dump(O/'FAILURE.json',dict(error=repr(e),stages=stages));raise diff --git a/research/complex-trace-rank5/physical/upstream/complex-global/README.md b/research/complex-trace-rank5/physical/upstream/complex-global/README.md new file mode 100644 index 0000000000..e6ef3b658b --- /dev/null +++ b/research/complex-trace-rank5/physical/upstream/complex-global/README.md @@ -0,0 +1,11 @@ +# Frozen changed complex supplier controller + +After rebuilding the final local provider with the separately supplied local bundle, run: + + python -B replay.py --local PATH_TO_FRESH_LOCAL --out NEW_OUTPUT_DIRECTORY + +The five stages bind the fresh supplier, emit the literal whole-owner controller, independently audit all physical charts and seven negative controls, recount the finite invoice, and certify its exact complex moment. The cited old bit result used in the last stage is only a regression fixture. Use the outer package assembly for the final improved bit supplier and final kappa. + +The final owner map is the checked witness; no optimization is rerun. All resource counts, frames, times, source hashes, scalar prefix and paid profile are rechecked. The separate all-size interfaces retain their stated scope. + +Expected complex saving: 796759709641153381751/500000000000000000000000. Both the source archive's attribution notices and licenses are retained. diff --git a/research/complex-trace-rank5/physical/upstream/complex-global/TWO-RESOURCE-TECHNIQUES.md b/research/complex-trace-rank5/physical/upstream/complex-global/TWO-RESOURCE-TECHNIQUES.md new file mode 100644 index 0000000000..6c9da1f090 --- /dev/null +++ b/research/complex-trace-rank5/physical/upstream/complex-global/TWO-RESOURCE-TECHNIQUES.md @@ -0,0 +1,67 @@ +# Two source-derived resource constructions + +These are sufficient constructions for complete-owner schedules. They preserve each complete invocation's physical endpoint: Q on the assigned residual coordinates, identity on spectators, with scalar-body arbitrary-dirt restoration certified separately. They do not replace the retained all-size multiplication hypotheses. + +## 1. Exchange paths inside a fixed physical owner fiber + +Start with a source-bound legal schedule and its complete physical slots. For each call c, let E_c be its available occurrences of width-nine slots. A selected subset S must contain exactly four elements of every E_c. Shrink selected slots from width nine to width eight. Reassign the new provider's width-five, width-eight, and width-nine helpers bijectively to the matching-width slots of that same call, and repack each pending bin contiguously in its original occurrence order. + +Sufficient conclusion: the resulting assignment is legal at the resource level. Each call retains its exact set of physical owner families and times; no active data owner is added, no owner is aliased, and every occurrence remains in its original legal idle interval. Packing only shrinks widths, so the concatenated intervals fit their pending child. The final chart must be rebuilt from the assigned helper's actual frame; matching widths alone never proves chart equality. With this chart check and the new provider's endpoint certificate, the whole physical schedule is admitted under the same interface. + +A same-call exchange S -> S - {e} + {f}, where e is selected and f is unselected in E_c, preserves the call quota. It is a two-edge exchange path. Adding an auxiliary complement assignment makes it a standard four-edge bipartite switch: selected and unselected degrees are preserved in the extended fiber. Any finite sequence of these exchanges is safe, irrespective of intermediate changes in the remainder histogram. Acceptance is based on the full paid moment, not a local entropy heuristic. + +Source read: OAI/Probability/SwitchChain/SwitchInFiber.lean, in particular sameFiber_of_same_side and switchStep_sameFiber. The source proves a degree-constrained graph switch stays in a resampling fiber; it does not itself prove this multiplication admission theorem. The physical proof above supplies that missing specialization. + +## 2. Concave remainder costs as an explicit cut network + +Let a be fixed with 0 z of capacity lambda, and add z -> sink of capacity lambda*k. With selected event vertices on the source side, minimizing over the auxiliary vertex z gives precisely lambda*min(x,k). The linear term uses event-to-sink arcs. This represents the whole remainder objective as a cut potential, with no unknown optimization oracle. + +Source read: OAI/Computability/MatchingCount/CutAlgebra.lean, cut_submodular and cut_push. Its pointwise cut submodularity and exact contraction/lift identity justify graph-level aggregation. Here the discrete-concavity identity supplies the explicit gadget representation. Exact quotas |S intersect E_c|=4 remain additional constraints; unconstrained minimum cut does NOT solve that constrained problem automatically. Our bounded native search uses the potential to accept legal exchanges, and the literal endpoint witness is independently checked. There is no global optimality claim. + +## 3. Constructive lift from pattern counts to literal owners + +A bin group consists of 112 physical ports sharing one owner replica, pending child, rank and legal time set. For each pattern p, choose n_p ports and a list of helper widths w_1,...,w_d with sum at most the pending rank. Let x_(p,t,w) be nonnegative integers. Require: + +- sum_t x_(p,t,w) equals n_p times the multiplicity of w in p; +- sum_w x_(p,t,w) is at most n_p for each pattern and time; +- across all groups and patterns, each call t receives its exact provider width inventory; +- only times in the actual group's legal idle interval occur. + +These conditions construct a complete-owner assignment. Split each width's incidences among its distinct positions in the pattern, each position having degree n_p. Form the bipartite multigraph whose left vertices are times and right vertices are pattern positions. Its maximum degree is n_p; add dummy vertices and edges until it is n_p-regular. For every subset S of left vertices, n_p|S| edges enter at most n_p|N(S)| slots, so Hall's condition holds. Remove a perfect matching and repeat. The n_p matchings are literal ports. Every port receives one incidence for each pattern position, never two incidences at the same time. Deleting dummy edges therefore yields the exact desired complete-owner slots. Assign each call's actual helpers bijectively to its matching-width slots. Offsets are contiguous partial sums of the pattern widths. + +This is an explicit sufficient lifting theorem, not an assertion that aggregate counts alone imply physical feasibility. The integer time rows, matching decomposition and final independently reconstructed physical chart are all checked. It also explains the exchange-fiber structure: different matching decompositions preserve the same exact time and pattern margins. The earlier cut potential supplies remainder costs before this constructive lift; the final broader integer pattern search additionally permits changes to pattern counts. No theorem about globally optimal constrained cuts is claimed. + +## Frozen concrete result + +The final provider combines the static44 response selection, PR534 frame lift and one cold-dirt quotient simplification. The final local histogram is + + {1:2284,2:456,3:488,4:168,5:56,6:56,8:8}. + +Its 504 helpers have widths 56x5,156x8,292x9. A bounded finite pattern/time search selected these counts across all owner replicas: + + rank8: 5376*[8] + rank16: 2928*[8,8],448*[5,9],208*[9] + rank32: 3584*[5,9,9,9] + rank48: 1923*[9,9,9,9,9],1*[9],1660*[] + +The literal matching lift produces 36,288 helper roles across 72 complete calls and 16,128 pending bins. All actual 2,972 full 73-column charts, per-replica event orders, whole-owner uniqueness, spectator axes and residual endpoints pass the independent physical audit; seven genuine corruptions reject. The resulting paid global histogram is + + {1:164448,2:33280,3:37059,4:12096, + 5:4032,6:4032,7:208,8:576,39:1,48:1660}. + +The exact deficit is 2,560 at m=73, live stock 7,168 and physical stock 7,682. The fresh scalar invoice charges prefix512 for measured225, and row20161 for measured16467. The certified complex saving is + + b = 796759709641153381751 / 500000000000000000000000 + = 0.001593519419282306763502. + +This is a complex supplier saving, not final kappa. The outer assembly must combine it with the independently admitted bit supplier through all strict constraints. All-size compiler, precision/tape and analytic-transfer hypotheses remain the retained interfaces. + +The earlier fixed-slot C++ exchange search gave b=0.001590643179579185038482 with the static44 provider and is preserved as a passed intermediate. The final broader pattern search stopped at its finite time limit with a feasible integer witness; no global optimum is asserted. Replaying the final witness needs Python's standard library only, not SciPy, HiGHS, or the optimizer. Both OpenAI sources were read and adapted; neither was newly Lean-compiled. These sources informed the two resource constructions, rather than establishing a claim of two independently additive numerical gains. diff --git a/research/complex-trace-rank5/physical/upstream/complex-global/vendor531/LICENSE b/research/complex-trace-rank5/physical/upstream/complex-global/vendor531/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/complex-trace-rank5/physical/upstream/complex-global/vendor531/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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Local review and submission packaging used OpenAI Codex. +The new work is the same-partition 504-helper scalar architecture, its frozen +entrance selection, delivery-frame coalescing, literal global allocation, +targeted certificate reuse and complete new finite recount. + +The included Hamming inputs, Gaussian-dyadic Clifford compiler, primitive +scalar routines, rational moment engines and outer assembly descend from the +authors recorded in `SOURCES.json` and `inputs/PR523-ANCESTRY.json`. Original +source notices are retained. In particular, DreamingOfClouds' gauge/kernel +and paid-wrapper files retain their notice crediting Claude Opus 5.5 assistance; +those files are not presented as newly authored work. + +contributor (handle omitted)'s PR522 rank-sector coordinate-total principle was inspected and is +credited as a related idea. This increment does not import its ranksector99 +patch or add its reported gain arithmetically. Higherbeing's PR520 face-packet +geometry helped direct the structural investigation; its code is not copied. +The latest numerical comparison, Rohan Arun's PR527, is a comparison source. + +The reproduction wrapper deliberately separates fresh changed-word/global +checks from reuse of the byte-pinned completed baseline and unchanged bit +operator. Old finite receipts never stand in for the changed local word. diff --git a/research/complex-trace-rank5/physical/upstream/complex-global/vendor531/SOURCES.json b/research/complex-trace-rank5/physical/upstream/complex-global/vendor531/SOURCES.json new file mode 100644 index 0000000000..6991a2a9c6 --- /dev/null +++ b/research/complex-trace-rank5/physical/upstream/complex-global/vendor531/SOURCES.json @@ -0,0 +1,63 @@ +{ + "repository": "https://github.com/CrocSwap/integer-mult-bounds", + "prepared_for": "icekylinx", + "assistance": "OpenAI GPT-6 Astra", + "license": "Apache-2.0", + "baseline": { + "pr": 523, + "author": "icekylinx", + "head": "a900f98be8ff2c09d3292b5112d4731dbd0c8438", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/523", + "role": "112 ordered ports, fixed data controller, completed phase cache and finite baseline allowances." + }, + "retained": [ + { + "pr": 514, + "author": "contributor (handle omitted)", + "head": "246bfacd4cb4072836ae3147099f548bb728229f", + "role": "Pinned Hamming modules and scalar constructor ancestry; derived from PR507 and PR425/433." + }, + { + "pr": 493, + "author": "eumemic", + "head": "c3a9a436b84fe44fdc223a5784d84736d1c2d3c7", + "role": "Unchanged bit supplier; published histogram repriced, operator not reconstructed." + }, + { + "pr": 484, + "author": "DreamingOfClouds", + "head": "035845ce95f31d0a2dcfb42b8c8e13411271fa5f", + "role": "Attributed shared-donor kernel, entrance-gauge, paid-wrapper and hosting lineage; original Claude Opus assistance notices retained." + } + ], + "related_ideas": [ + { + "pr": 522, + "author": "contributor (handle omitted)", + "head": "e9f8075b5212e9bddf361097dbb022dcd052e0bb", + "role": "Rank-sector coordinate-total principle inspected and credited. Its ranksector99 patch is not imported; this word completes eight independent retired carriers before the center cut." + }, + { + "pr": 520, + "author": "higherbeing", + "head": "6077fa76950facbce11ec2f04dfbc93493114a44", + "role": "Face-packet delivery geometry and open allocation framing informed the bottleneck investigation; no PR520 implementation is copied." + } + ], + "comparison": { + "pr": 527, + "author": "rohanarun", + "head": "2080903b9e6bd01e3f64cc4c7c62ea1b3af0aa6a", + "kappa": "0.001467289440740487", + "role": "Latest comparable numerical PR in the recorded snapshot; comparison only." + }, + "new_contribution": "Same-partition direct output loading and two-half face delivery with 504 helpers; 72 compatible gauges and 80 exact kernel pivots; body frame coalescing; literal pure-pattern whole-owner allocation; fresh finite global invoice and exact kappa.", + "ancestry_file": "inputs/PR523-ANCESTRY.json", + "comparison_at_submission": { + "pr": 529, + "author": "chafreaky", + "head": "05fc7e332651a41860add3c217cd6f6e88758003", + "kappa": "0.001469603966017302", + "role": "Comparison only; no code or proof imported." + } +} diff --git a/research/complex-trace-rank5/physical/upstream/complex-global/vendor535/LICENSE b/research/complex-trace-rank5/physical/upstream/complex-global/vendor535/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/complex-trace-rank5/physical/upstream/complex-global/vendor535/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/complex-trace-rank5/physical/upstream/complex-global/vendor535/NOTICE.md b/research/complex-trace-rank5/physical/upstream/complex-global/vendor535/NOTICE.md new file mode 100644 index 0000000000..f42e0eed85 --- /dev/null +++ b/research/complex-trace-rank5/physical/upstream/complex-global/vendor535/NOTICE.md @@ -0,0 +1,70 @@ +# Attribution and dependency notice + +Package: **`integer_mult_round21_rank4_delta`**. + +Copyright 2026 icekylinx. Local review and packaging used OpenAI Codex. + +## New work + +Prepared by **icekylinx with GPT-6 Astra assistance**. The new contribution is +the post-center timing and ordered composition of dirty gauges with rank-four +response kernels, including the 14 disjoint M-helper groups, explicit scalar +word, frame and cleanup treatment, independent local argument, physical global +integration, paid accounting, and combined conditional κ assembly. + +The same helper can first serve its own gauge and then donate to a larger +kernel because compensation occurs before the new pivot dirt is injected. +This ordering, its actual frame nesting, and its global use are the substantive +delta. Earlier gauge/kernel primitives and the SAME504 scalar construction +retain their original authorship. + +## Baseline + +[PR531](https://github.com/CrocSwap/integer-mult-bounds/pull/531), by icekylinx +with the disclosed GPT-6 Astra assistance, supplies the SAME504 construction +and the baseline package `research/direct-delivery504-global`. The final +baseline head is `e07a8a3f9f79c22113398a0c5dbbc7601f489b3e`; the scientific +files used here match the original Round20 pins. + +**The original PR531 NOTICE is retained separately and remains applicable.** +That notice records the scalar, geometry, controller, phase, wrapper, hosting, +and analytic ancestry. This short incremental notice does not replace it. + +In particular, DreamingOfClouds's PR484 response/kernel implementation and its +predecessors retain their source notices. Zhihao Chen's PR425 mutable-basis +lemma, the PR425/433/514 scalar lineage, and the previously credited source +and delivery contributions remain attributed through PR531's notice. + +## Adopted bit supplier + +[PR510](https://github.com/CrocSwap/integer-mult-bounds/pull/510), pinned to +`64edee18af02aab0c1696b677a0287dd0146381b`, is by **DreamingOfClouds with +Claude Opus 5.5 assistance via Claude Code**, as disclosed by that package. +Its R480 nine-stage bit endpoint is adopted as a cited conditional dependency. +It is not a new bit-side research result of this delta, and no cold replay +of that full bit pipeline was performed here. + +**The original PR510 NOTICE is retained separately and remains applicable.** +Its ancestry includes eumemic's PR493 carrier-skeleton word; PR503's R480 +dead-total change; chafreaky's PR443/444 replication pipeline; DaysSky's PR442 +whole-residual hosting and PR381 column checker; Zhihao Chen's PR386 geometry; +DreamingOfClouds's PR315 moment engines and pipeline adaptations; and Dylan +Crow's PR370 framework, with the assistance disclosures in those sources. + +The present PR510 mutable-source carryover exposition is by icekylinx with +GPT-6 Astra assistance. It expands the role-independent common-label argument +already present in PR472 and the mutable-basis lemma of PR425; it does not +claim those underlying ideas as new. + +## Comparison, evidence, and licenses + +PR493 is also retained as the former-bit-supplier control. PR533 is used only +for numerical comparison. A cited rate, reused certificate, or prior notice +does not imply a fresh replay in this package; the README states the completed +validation scope. + +Original source headers, notices, licenses, and pinned provenance remain in +force. This incremental notice does not relicense upstream material. New +Python research/audit files carry the Apache-2.0 notice stated in their source +headers. All reported bounds remain conditional on the listed inherited +interfaces. diff --git a/research/complex-trace-rank5/physical/upstream/complex-local/README.md b/research/complex-trace-rank5/physical/upstream/complex-local/README.md new file mode 100644 index 0000000000..370a6a6d11 --- /dev/null +++ b/research/complex-trace-rank5/physical/upstream/complex-local/README.md @@ -0,0 +1 @@ +Run python -B run_local.py --out NEW_DIRECTORY --vendor PATH_TO_BUNDLED_VENDOR_PR531. The vendor directory is shared with the global replay; required scripts are code/audit_and_transport.py, phases_delta.py, adapters_local.py, emit_local.py, audit_local.py and their retained dependencies including vendor/clifford. Inputs, frozen static44 selection, frame-lift constructor and syndrome rewrite are supplied here. No search runs during replay. Final canonical content SHA-256 is 5d96dbd7eb01548edbeac7f3b8a9401ac14268f3ecea1de4a61e13953448cc7c. Global owners, finite invoice and assembly are checked by the enclosing package. diff --git a/research/complex-trace-rank5/physical/upstream/complex-local/SOURCE-MANIFEST.json b/research/complex-trace-rank5/physical/upstream/complex-local/SOURCE-MANIFEST.json new file mode 100644 index 0000000000..0f3ff6125b --- /dev/null +++ b/research/complex-trace-rank5/physical/upstream/complex-local/SOURCE-MANIFEST.json @@ -0,0 +1,29 @@ +{ + "README.md": "1018ca8cbd77cb7b2bd52b77859613724d9ddedb61908e9f103db23c203aa65e", + "run_local.py": "607d144221726b69d8e9da8a1438c83264154bba0fc4a010281962143f40bd35", + "code/apply_syndrome.py": "e2e88b38f6b0a087814c54f65cdf8439fc10e6377ca13e356eb39fdbca6ef99c", + "code/port_frames.py": "7f86660cfbf7a9123347587f467a5775118f5842ccf03bf9837daf8cb0bbd376", + "code/run_portable.py": "322d29d43dbee8130cde15d4bf05396698b5e3dfe3735813899db91cc0ba7955", + "docs/OPENAI-SOURCES.json": "46c3a475a4c58f4137373fdf0705690b7f085536671d7be75cc3863895190062", + "docs/SEARCH-RECORD.md": "7b09479215c407e4258ef6af64c34dc865e3b9a60c845040258413a2a960f5b8", + "docs/TWO-SOURCE-PROOF.md": "4d6423f773ec47d2eea984e02f11f2d636e02ad3e6f3eb3e640a3768fa04fe75", + "inputs/PR534-WORD.json.gz": "a275792cb9f5729fac295cb04c556afbaa4513945c517190219fd0e44ab90095", + "inputs/phase-baseline/CANONICAL-WORD.json.gz": "e070ae2c78b4a1b644b418774af62b40d8d16e6ba89602f0474afb557d507c37", + "inputs/phase-baseline/CLIFFORD-RECIPES.json": "577a1be13f5140d9c3997637784b2f812f46b24c61877699430b02de4f662102", + "inputs/phase-baseline/CLIFFORD-REVIEW.json": "cd48fe6882a39c57021c4614747cc5c2c88ec07e806cebb914cf533997b73d9b", + "static44/audit_scalar.py": "d22159087c1d0df0edf452aae3a1a7a45bf2cde4ce6e177850e415f9620151e1", + "static44/build.py": "31d68795916985e2abb3207b07c1d3e39ed3560f1b46f18ade0a509278c710dc", + "static44/LICENSE": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4", + "static44/META-SOURCES.json": "b30c82ad1d707b68e84af85e90b1bab0e41e49ccacda3069b952c790092be920", + "static44/NOTICE-upstream.md": "1547136e6d269fdcef2b68c10a97a786a79a4732a12738363f679bfb282430cd", + "static44/PROOF.md": "d1dafe41a1698d6df575ec86f796bcba08c54fe14b6d69e78f5f6cff8b55de4a", + "static44/README.md": "c4b3ce02012fe97598e76a77877541a8f3387ba4305cee600ee557a48b3493e8", + "static44/RECIPE.json": "973f1975213398f2b711e8ce4eddece181d4cbea83be5b6b650115b9bc43f2eb", + "static44/replay.py": "5b12ea184b3afde41b1028d1926a0d158f2f05585dae6d9024e31424c290bccf", + "static44/SOURCE-MANIFEST.json": "9c64b98a2c7771e77eccc476910a91c17eefc0ee95fb638b058c598c96bbdaf3", + "static44/gk/gk_common.py": "e68d190fd436b2f3955decb590adb53344d5d4ea0a19d62d86df1e4b55ecd198", + "static44/gk/gk_word.py": "f027a9273bcf4e0971258c160b7d3b3c196366b32a529cff6e6a0e666b03826b", + "static44/inputs/BASE535.json.gz": "edfffb8e8735e0d1f07c81d818022b705ef0889c2bccc193a2f7a661b9f7d390", + "static44/inputs/OLD-RECIPE.json": "7e5c179246261edd9e1019e81e6e979537f02559da773b993a318f771cb7d763", + "static44/inputs/RAW504.json.gz": "1c6144791dbedf6427e3ee7b4c24fb05b5bf407f6346592f50f8dd8d9638108d" +} diff --git a/research/complex-trace-rank5/physical/upstream/pr544-NOTICE.md b/research/complex-trace-rank5/physical/upstream/pr544-NOTICE.md new file mode 100644 index 0000000000..621b305f2e --- /dev/null +++ b/research/complex-trace-rank5/physical/upstream/pr544-NOTICE.md @@ -0,0 +1,28 @@ +# Attribution and scope of changes + +Prepared for chafreaky with OpenAI Codex assistance. Apache-2.0; see LICENSE. +All notices in the inherited files are preserved. In particular, original +PR493/503/510 bit checker and invoice sources are copied from PR510, without +replacing contributor names or assistance notices. + +- PR541 by Dugongue contributes the 60-preload construction and the static44 + local appendix, including its fixed selection and scalar controls. Their + constructor and appendix are copied unchanged. The static44 appendix's + local-only scope remains accurately described in its original README. +- PR542 by rohanarun contributes the suffix-response slicing method. Its + 227 zero-response gate deletions are recomputed exactly in `build_bit.py`. +- PR535 by icekylinx supplies the post-center rank-four baseline inside the + static44 appendix. PR531 and its attributed PR484 lineage supply the complex + geometry, gauges, kernel primitives, local/global checkers and data controller. +- PR493/503/510 and their credited predecessors supply the native bit checkers, + mutable-source semantics, global hosting and exact invoice machinery. +- New here: ten fixed exact-cost bit frame changes, their exact replay; the + static44 global owner allocation and complete phase/owner admission; and + the composition and cold verification of both changed suppliers. + +`run_native.py` and `run_global.py` adapt PR541's orchestration for the new +profiles and actual checked prefix. `assemble.py` adapts the attributed +PR531/535/541 assembly to both fresh invoices and a 192-bit charged bit prefix. +The retained two-level charge is 512 bits. The independent native, owner, +invoice, moment and outer checkers are unchanged. `code/run.py` and +`code/phases_full.py` are carried from our attributed PR538 package. diff --git a/research/complex-trace-rank5/physical/vendor/pr531/code/adapters_local.py b/research/complex-trace-rank5/physical/vendor/pr531/code/adapters_local.py new file mode 100644 index 0000000000..787416e4dd --- /dev/null +++ b/research/complex-trace-rank5/physical/vendor/pr531/code/adapters_local.py @@ -0,0 +1,60 @@ +"""Paid residual wrappers for entering helpers (Lemma A): generation and independent decoding. Apache-2.0. +Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. The wrapper construction follows PR #458 +(chafreaky): a helper that starts at frame E and ends at FULL has the physical residual S_E = T_FULL T_E^-1 (apply T_E^-1 first); +S_E = L_E (C_[w] x I) R_E with R_E applied first; the wrappers R_E^-1 before the whole local invocation and L_E^-1 after its +full-frame cleanup turn the residual into the coordinate factor C_[w] x I and restore the other 9 - w coordinates identically. +usage: adapters_gk.py CANONICAL-WORD.json.gz RESIDUAL-ADAPTERS.json OUT-LEMMA-A.json +Writes the recipes (generation uses clifford_exact.lower_child) and then DECODES the serialized monomials with the primitive +constructors of clifford_exact (not lower_child) and checks, for every entrance frame, that L_E^-1 S_E R_E^-1 has exactly the +tableau and zero-state vector (global phase included) of fourier(9, range(w)); mutated recipes (wrong phase, swapped sides, wrong +translation, wrong width) must be rejected.""" +import copy, gzip, json, sys +from pathlib import Path +# Package-path adaptation only; the exact wrapper mathematics is unchanged. +R = Path(__file__).resolve().parents[1] +sys.path.insert(0, str(R / 'vendor/clifford')) +from clifford_exact import canonical_frame, lower_child, fourier, diag, perm, xgate, Op, identity +n = 9; FULL = tuple(1 << i for i in range(n)) +def monomial_op(rec): + """decode a serialized monomial (matrix rows, quadratic rows, Z4 linear part, translation, phase)""" + out = diag(n, tuple(rec['quadratic_rows']), tuple(rec['linear_Z4'])).then(perm(n, tuple(rec['matrix_rows']))).then(xgate(n, rec['offset'])) + return out.then(Op(n, identity(n), [('phase', rec['phase'])])) +def S_of(U): + return canonical_frame(n, tuple(U)).adjoint().then(canonical_frame(n, FULL)) +def wrapped_ok(U, rec): + """exactly: L^-1 S R^-1 = C_[w] x I (apply order: R^-1, S, L^-1)""" + w = n - len(U); S = S_of(U); Rm = monomial_op(rec['right']); Lm = monomial_op(rec['left']) + net = Rm.adjoint().then(S).then(Lm.adjoint()); target = fourier(n, range(w)) + return rec['rank'] == w and net.tab == target.tab and net.zero_state() == target.zero_state() +def main(): + c = json.load(gzip.open(sys.argv[1])); frames = c['frames']; v = c['v'] + starts = sorted({c['start'][r] for r in range(2 * v, len(c['start'])) if c['start'][r] != 0}) + recipes = {} + for f in starts: + U = frames[f]; rec, compiled = lower_child(S_of(U)) + recipes[str(f)] = dict(frame=f, vectors=list(U), entrance_rank=len(U), rank=rec['rank'], left=rec['left'], right=rec['right']) + Path(sys.argv[2]).write_text(json.dumps(dict(status='RESIDUAL_ADAPTER_RECIPES', recipes=recipes), sort_keys=True, separators=(',', ':')) + '\n') + # ---- independent decode of the serialized file + data = json.loads(Path(sys.argv[2]).read_text())['recipes'] + dot = lambda a, b: bin(a & b).count('1') & 1 + detail = [] + for f in starts: + rec = data[str(f)]; U = frames[f] + assert wrapped_ok(U, rec), ('wrapper product is not C_[w] x I', f) + detail.append(dict(frame=f, entrance_rank=len(U), residual_width=n - len(U), vectors=list(U), all_even_weight=all(bin(x).count('1') % 2 == 0 for x in U), + totally_isotropic=all(dot(a, b) == 0 for a in U for b in U))) + controls = [] + def reject(name, fn): + f = starts[0]; rec = copy.deepcopy(data[str(f)]); fn(rec) + if wrapped_ok(frames[f], rec): raise AssertionError('mutated wrapper accepted: ' + name) + controls.append(name) + reject('wrong global phase', lambda r: r['right'].__setitem__('phase', (r['right']['phase'] + 1) % 4)) + reject('wrong translation', lambda r: r['left'].__setitem__('offset', r['left']['offset'] ^ 1)) + reject('wrong quadratic form', lambda r: r['right'].__setitem__('quadratic_rows', [x ^ 2 if i == 0 else x for i, x in enumerate(r['right']['quadratic_rows'])]) if False else r['right']['linear_Z4'].__setitem__(0, (r['right']['linear_Z4'][0] + 2) % 4)) + reject('sides swapped', lambda r: (r.__setitem__('left', r['right']), r.__setitem__('right', r['left']))) + reject('wrong width', lambda r: r.__setitem__('rank', r['rank'] + 1)) + res = dict(status='PASS_RESIDUAL_WRAPPERS_ARE_EXACT', frames=len(detail), wrappers_reject=controls, all_even_weight=all(d['all_even_weight'] for d in detail), + all_totally_isotropic=all(d['totally_isotropic'] for d in detail), detail=detail) + Path(sys.argv[3]).write_text(json.dumps(res, indent=1) + '\n') + print('Lemma A (exact): L^-1 S_E R^-1 = C_[w] x I for', len(detail), 'entrance frames, global phase included;', len(controls), 'wrapper mutations rejected; all-even-weight:', res['all_even_weight']) +if __name__ == '__main__': main() diff --git a/research/complex-trace-rank5/physical/vendor/pr531/code/audit_and_transport.py b/research/complex-trace-rank5/physical/vendor/pr531/code/audit_and_transport.py new file mode 100644 index 0000000000..95ae517f2e --- /dev/null +++ b/research/complex-trace-rank5/physical/vendor/pr531/code/audit_and_transport.py @@ -0,0 +1,222 @@ +"""Rebuild arbitrary-dirt compensation and transport a changed local word. + +Prepared for icekylinx with GPT-6 Astra assistance. Apache-2.0. +Adapted from PR425/433 (icekylinx), PR484's audit_gk.py +(DreamingOfClouds), and Round19's 112-port transport. This auditor does not +import a constructor, a nominated compensation table, or a global price. +Only the changed scalar word and its actual frame chains are checked here. +""" +import argparse +import copy +import gzip +import hashlib +import json +import time +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + + +def read(path): + data = path.read_bytes() + return json.loads(gzip.decompress(data) if path.suffix == '.gz' else data) + + +def content_hash(path): + data = path.read_bytes() + return hashlib.sha256(gzip.decompress(data) if path.suffix == '.gz' else data).hexdigest() + + +def basis(vs): + pivots = {} + for x in vs: + for k in sorted(pivots, reverse=True): + if x >> k & 1: + x ^= pivots[k] + if x: + k = x.bit_length() - 1 + for j in pivots: + if pivots[j] >> k & 1: + pivots[j] ^= x + pivots[k] = x + return tuple(pivots[k] for k in sorted(pivots, reverse=True)) + + +def apply(e, rows): + if e[0] == 'scale': + _, target, a, b, *_ = e + q = Q(a, b) + assert q + rows[target] = {j: q*x for j, x in rows[target].items()} + else: + _, target, source, a, b, *_ = e + assert target != source + q = Q(a, b) + for j, x in list(rows[source].items()): + value = rows[target].get(j, Q(0)) + q*x + if value: + rows[target][j] = value + else: + rows[target].pop(j, None) + + +def inverse(e): + e = copy.deepcopy(e) + if e[0] == 'add': + e[3] *= -1 + else: + e[2], e[3] = e[3], e[2] + return e + + +def dual(e): + e = inverse(e) + if e[0] == 'add': + e[1], e[2] = e[2], e[1] + return e + + +def run(raw_path, routing_path, out): + start_time = time.monotonic() + word, routing = read(raw_path), read(routing_path) + v, h, helpers = word['report']['v'], word['report']['h'], word['report']['R'] + assert h == 9 and v == 112 and routing['v'] == v + n = 2*v + helpers + ident = lambda: [{r: Q(1)} for r in range(n)] + main = word['A'] + word['cut'] + word['B'] + assert all(not v <= e[2] < 2*v for e in word['A'] + word['B'] + if e[0] == 'add' and not v <= e[1] < 2*v) + matrix = ident() + for e in main: + apply(e, matrix) + dirty = [{} for _ in range(n)] + for r in range(v, 2*v): + dirty[r] = {j: x for j, x in matrix[r].items() if j >= 2*v} + for e in word['precondition']: + apply(e, dirty) + compensation = [['add', r, j, -q.numerator, q.denominator, []] + for r in range(v, 2*v) for j, q in sorted(dirty[r].items())] + entering = set(map(int, word.get('start_extra', {}))) + assert all(e[2] not in entering for e in compensation) + cleanup = [inverse(e) for e in reversed(word['A'] + word['B']) + if not v <= e[1] < 2*v] + assert [e[:-1] for e in cleanup] == [e[:-1] for e in word['cleanup']] + program = word['precondition'] + compensation + main + cleanup + for backward in (False, True): + actual = ident() + for e in program: + apply(dual(e) if backward else e, actual) + expected = ident() + for t in range(v): + expected[t if backward else v+t][v+t if backward else t] = Q(-1 if backward else 1) + assert actual == expected, ('arbitrary-dirt endpoint', backward) + # The native scalar compiler allows dyadic additions and signed binary scales. + for e in program: + q = Q(e[3], e[4]) if e[0] == 'add' else Q(e[2], e[3]) + assert q.denominator & (q.denominator-1) == 0 + if e[0] == 'scale': + a = abs(q.numerator) + assert a and a & (a-1) == 0 + + tau = lambda x: x ^ (43 if (x & 43).bit_count() % 2 else 0) + ports = routing['ports'] + assert len(set(ports)) == v and set(map(tau, word['ports'])) == set(ports) + mapping = {i: ports.index(tau(p)) for i, p in enumerate(word['ports'])} + mapping.update({v+i: v+mapping[i] for i in range(v)}) + mapping.update({r: r for r in range(2*v, n)}) + full = tuple(1 << i for i in range(h-1, -1, -1)) + frames, frame_ids = [(), full], {(): 0, full: 1} + + def fid(vectors): + frame = basis(vectors) + if frame not in frame_ids: + frame_ids[frame] = len(frames) + frames.append(frame) + return frame_ids[frame] + + def transform(e): + e = copy.deepcopy(e) + e[1] = mapping[e[1]] + if e[0] == 'add': + e[2] = mapping[e[2]] + if e[-1] is not None: + e[-1] = fid([tau(x) for x in e[-1]]) + return e + + canonical = {key: [transform(e) for e in word[key]] + for key in ('A', 'B', 'cut', 'cleanup', 'precondition')} + canonical['compensation'] = [transform(e) for e in compensation] + canonical['start'] = [fid([p]) for p in ports] + [0]*(v+helpers) + for r, frame in word.get('start_extra', {}).items(): + assert 2*v <= int(r) < n + canonical['start'][int(r)] = fid([tau(x) for x in frame]) + canonical['final'] = ([1]*v + + [fid(x for x in range(1, 1 << h) if (x & p).bit_count() % 2 == 0) for p in ports] + + [1]*helpers) + canonical.update(h=h, v=v, R=helpers, ports=ports, frames=frames, + centers=[mapping[r] for r in word['centers']], + center_frames=[fid(tau(x) for x in frame) for frame in word['center_frames']]) + levels = {mapping[v+int(t)]-v: fid(tau(x) for x in frame) + for t, frame in word.get('target_levels', {}).items()} + canonical['target_levels'] = {str(t): f for t, f in levels.items()} + current, paid, edges = canonical['start'].copy(), Counter(), set() + + def climb(r, f): + old = current[r] + assert basis(frames[old] + frames[f]) == frames[f], ('nonmonotone', r, old, f) + if old != f: + degree = len(frames[f]) - len(frames[old]) + assert degree > 0 + paid[degree] += 1 + edges.add((old, f)) + current[r] = f + + for part in ('A', 'B'): + if part == 'B': + assert all(current[r] == f for r, f in zip(canonical['centers'], canonical['center_frames'])) + assert all(current[v+t] == levels.get(t, 0) for t in range(v)) + for r, frame in zip(canonical['centers'], canonical['center_frames']): + served = {levels.get(e[1]-v, 0) for e in canonical['cut'] if e[2] == r} + old = frame + for f in sorted(served, key=lambda f: -len(frames[f])): + assert basis(frames[old] + frames[f]) == frames[old] + if old != f: + paid[len(frames[old])-len(frames[f])] += 1 + edges.add((old, f)) + edges.add((f, old)) + old = f + for e in canonical[part]: + for r in [e[1]] + ([e[2]] if e[0] == 'add' else []): + climb(r, e[-1]) + for r, f in enumerate(canonical['final']): + climb(r, f) + assert dict(paid) == {int(r): count for r, count in word['report']['local_profile'].items()} + canonical['local_profile'] = dict(sorted(paid.items())) + canonical['edges'] = sorted(edges) + out.mkdir(parents=True, exist_ok=False) + payload = json.dumps(canonical, sort_keys=True, separators=(',', ':')).encode() + (out/'CANONICAL-WORD.json.gz').write_bytes(gzip.compress(payload, mtime=0)) + (out/'FULL-WORD.json.gz').write_bytes(gzip.compress(json.dumps(word, sort_keys=True, separators=(',', ':')).encode(), mtime=0)) + receipt = dict(status='PASS_CHANGED_WORD_ALL_COLUMNS_AND_NATIVE_FRAMES', + input_content_sha256=content_hash(raw_path), routing_content_sha256=content_hash(routing_path), + canonical_content_sha256=hashlib.sha256(payload).hexdigest(), + live_columns_each_orientation=n, helpers=helpers, + compensation_additions=len(compensation), scalar_operations=len(program), + center_rank_sum=sum(map(len, word['center_frames'])), + local_profile=dict(sorted(paid.items())), local_rank_mass=sum(r*z for r, z in paid.items()), + widths=[h-len(frames[f]) for f in canonical['start'][2*v:]], + frames=len(frames), directed_edges=len(edges), + tau=43, target_port_order_matches_baseline=True, + seconds=time.monotonic()-start_time, + scope='Fresh exact forward and inverse-transpose scalar replay on every arbitrary input; all native frame chains and dyadic primitives. Phase lowering, wrappers, global owners and global assembly are separate.') + (out/'SCALAR-FRAME-AUDIT.json').write_text(json.dumps(receipt, indent=2)+'\n') + print(json.dumps({k: value for k, value in receipt.items() if k != 'widths'}, indent=2), flush=True) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--raw', type=Path, required=True) + parser.add_argument('--routing', type=Path, required=True) + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + run(args.raw, args.routing, args.out) diff --git a/research/complex-trace-rank5/physical/vendor/pr531/code/audit_local.py b/research/complex-trace-rank5/physical/vendor/pr531/code/audit_local.py new file mode 100644 index 0000000000..a09611844a --- /dev/null +++ b/research/complex-trace-rank5/physical/vendor/pr531/code/audit_local.py @@ -0,0 +1,144 @@ +# Local-only extraction of the attributed PR514 / PR433 independent replay. +# Prepared for icekylinx with OpenAI Codex assistance. Apache-2.0. +# The complete local checker and its negative controls are retained verbatim. +# Global hosting is verified separately for the changed 112-port geometry. +import copy,gzip,hashlib,json,sys +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path +OUT=Path(sys.argv[1]) +c=json.load(gzip.open(OUT/'CANONICAL-WORD.json.gz')) +ir={'local_programs':json.load(gzip.open(OUT/'LOCAL-PROGRAMS.json.gz'))} +v,R,h=c['v'],c['R'],c['h'];n=2*v+R;frames=c['frames'] +levels={int(t):f for t,f in c.get('target_levels',{}).items()} +entering=[r for r,f in enumerate(c['start']) if r>=2*v and f!=0] +plain={r for r in range(n) if r not in set(entering)} +def contains(a,b): + for x in a: + for y in b: + if x>>(y.bit_length()-1)&1:x^=y + if x:return False + return True +def local(events,back): + rows={('L',r):{r:Q(1)} for r in range(n)} + norm={('L',r):Q(1) for r in range(n)};prefix=Q(1);cur=c['start'].copy();private={} + hist=Counter();phases=[];entry=[];exit=[];centers=[];matrix_hash=hashlib.sha256();chain={};wrappers=[] + allowed=['zero_frame_precondition','entry_adapters','A','centers','B','final','exit_adapters','full_frame_cleanup','done'] + for event in events: + tag=event[0] + if tag=='phase': + phases.append(event[1]);assert phases==allowed[:len(phases)] + if event[1]=='A':assert entry==[(r,f) for r,f in enumerate(c['start']) if r in plain] and sorted(r for k_,r,f_ in wrappers if k_=='pre')==entering # GK + if event[1]=='centers':assert all(cur[r]==levels.get(r-v,0) for r in range(v,2*v)) # GK + if event[1]=='full_frame_cleanup':assert cur==c['final'] and exit==list(enumerate(c['final'])) + assert not private + elif tag=='residual_adapter': # GK: paid wrappers of entering helpers: R_E^-1 before the invocation, L_E^-1 after the full-frame cleanup + _,kind,r,f=event;assert r in entering and f==c['start'][r] and kind in ('pre','post') + assert (kind=='pre' and phases[-1]=='entry_adapters') or (kind=='post' and phases[-1]=='full_frame_cleanup') + assert (kind,r) not in {(k,x) for k,x,_ in wrappers};wrappers.append((kind,r,f)) + elif tag=='adapter': + assert event[3]==(c['start'] if event[1]=='old_to_new' else c['final'])[event[2]] + (entry if event[1]=='old_to_new' else exit).append((event[2],event[3])) + elif tag=='climb': + _,part,r,a,b,rank=event + assert not private and phases[-1]==part and cur[r]==a + assert contains(frames[a],frames[b]) and rank==len(frames[b])-len(frames[a])>0 + hist[rank]+=1;cur[r]=b + elif tag=='center': + _,k,a,b,rank=event + assert phases[-1]=='centers' and private=={('C',k):a} + cf=c['center_frames'][k];cr=len(frames[cf]) + # GK: stepwise descent cf -> served levels -> lowest (forward), reversed ascent (backward); each step is a nested child + assert contains(frames[a],frames[b]) if back else contains(frames[b],frames[a]) + assert rank==abs(len(frames[a])-len(frames[b]))>0 + chain.setdefault(k,[]).append((a,b)) + private['C',k]=b;hist[rank]+=1;centers.append(k) + elif tag=='scalar': + _,e,f=event;op=e[0];target=tuple(e[1]);source=tuple(e[2]) if op in ('copy','add') else None + if target[0]=='C' and op=='clear': + assert private.get(target,f)==f + private.pop(target,None) + else: + for r in (target,source): + if r is None:continue + if r[0]=='L':assert cur[r[1]]==f,('common frame',r,cur[r[1]],f) + else: + if r==target and r not in private:private[r]=f + assert private[r]==f + if op=='clear':rows[target]={};norm[target]=Q(0) + elif op=='copy':rows[target]=dict(rows[source]);norm[target]=norm[source] + elif op=='scale': + q=Q(e[2],e[3]);a,b=abs(q.numerator),q.denominator + assert a&(a-1)==0 and b&(b-1)==0 + rows[target]={j:q*x for j,x in rows[target].items()};norm[target]*=abs(q) + else: + q=Q(e[3],e[4]);a,b=abs(q.numerator),q.denominator + assert source!=target and b&(b-1)==0 + # Independent symbolic replay of the cleared coefficient work. + w=0 + for bit in bin(a)[2:]:w=2*w+int(bit) + assert Q(w,b)*(1 if q>0 else -1)==q + prefix=max(prefix,Q(a)*norm[source]) + norm[target]=norm.get(target,Q(0))+abs(q)*norm[source] + row=rows.setdefault(target,{}) + for j,x in list(rows[source].items()): + z=row.get(j,Q(0))+q*x + if z:row[j]=z + else:row.pop(j,None) + prefix=max(prefix,norm[target]) + else:raise AssertionError(tag) + assert phases==allowed and set(centers)==set(range(len(c['centers']))) and not private + assert sorted(r for k,r,_ in wrappers if k=='pre')==entering and sorted(r for k,r,_ in wrappers if k=='post')==entering # GK + for k,st in chain.items(): # GK: the steps of each centre chain link up and end at the centre frame + cf=c['center_frames'][k] + if back:assert st[-1][1]==cf and all(st[i][1]==st[i+1][0] for i in range(len(st)-1)) + else:assert st[0][0]==cf and all(st[i][1]==st[i+1][0] for i in range(len(st)-1)) + assert all(not row for reg,row in rows.items() if reg[0]=='C') + for r in range(n): + expected={r:Q(1)} + if back and r>i)&1==0);a=q^(1<>i&1 else 0)for i in order]+[1<2*max(paid)**2 + return dict(profile=dict(sorted(paid.items())),mass=mass,hosted=HOSTED,entering=entering,cross_replica=cross,sigma_digest=digest.hexdigest(),sigmas=sigmas,idle_remainders=len(wanted),busy_family_checks=len(roles),invocations=72) + +r=audit(ct);raw=gzip.decompress((OUT/'GLOBAL-TEMPLATE.json.gz').read_bytes());assert hashlib.sha256(raw).hexdigest()==summary['template_sha256'];assert r['profile']=={int(k):v for k,v in summary['global_profile'].items()};assert r['sigmas']==read(OUT/'ACTUAL-SIGMAS.json.gz');assert r['sigma_digest']==summary['sigma_stream_sha256'] +assert all(hashlib.sha256((BASE/name).read_bytes()).hexdigest()==value for name,value in summary['source_artifacts'].items()) +controls=[] +def reject(name,mut): + if '--mutation-controls' not in sys.argv[4:]:return + q=copy.deepcopy(ct);mut(q) + try:audit(q) + except(AssertionError,KeyError,IndexError,ValueError,TypeError):controls.append(name) + else:raise AssertionError('ACCEPTED '+name) +enter=lambda q:next(o for c in q['calls']for o in c['owners'][(2*V):]if o[1][0]==4) +reject('alias two whole owners',lambda q:q['calls'][0]['owners'].__setitem__((2*V+1),q['calls'][0]['owners'][(2*V)])) +reject('helper on active data family',lambda q:q['calls'][0]['owners'][(2*V)].__setitem__(0,q['calls'][0]['owners'][0][0])) +reject('owner in private namespace',lambda q:q['calls'][0]['owners'][(2*V)].__setitem__(0,DATA)) +reject('wrong residual width',lambda q:enter(q)[1].__setitem__(3,enter(q)[1][3]-1)) +reject('wrong spectator coordinate',lambda q:enter(q)[1][4].__setitem__(0,72)) +reject('omit idle remainder',lambda q:q['idle_children'].pop()) +reject('understate physical reserve',lambda q:q.__setitem__('physical',PHYSICAL-1)) +report=dict(status='PASS_INDEPENDENT_ASYNC_WHOLE_OWNER_CONTROLLER_PHASES_AND_SPECTATORS',template_sha256=summary['template_sha256'],complex_template_sha256=summary['template_sha256'],complex_live=DATA,complex_profile=r['profile'],complex_hosted_residuals=HOSTED,physical=PHYSICAL,rank_mass=r['mass'],deficit=2560,entering_helper_roles=r['entering'],cross_replica_helper_roles=r['cross_replica'],one_owner_per_complete_invocation=True,helper_busy_family_window_checks=r['busy_family_checks'],complete_invocations=r['invocations'],actual_orthogonal_73column_maps=len(r['sigmas']),actual_sigma_stream_sha256=r['sigma_digest'],all_actual_residual_and_spectator_charts=True,idle_remainders=r['idle_remainders'],mutations_rejected=controls,mutation_controls_run='--mutation-controls' in sys.argv[4:],widths=dict(sorted(Counter(width).items())),scope='Independent exact asynchronous chronology, per-replica phase projection, owner/chart/paid-profile audit. Uses the new selected local program bound by fresh scalar, phase and residual-wrapper receipts; all-size compilation and complete coefficient invoice are separate inherited obligations.') +REPORT.write_text(json.dumps(report,indent=2)+'\n');print(json.dumps(report,indent=2)) + +owners=dict(status='PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE',template_sha256=summary['template_sha256'],paid_profile=r['profile'],live=DATA,physical=PHYSICAL,rank_mass=r['mass'],deficit=2560,hosted_residuals=HOSTED,banked_residuals=0,all_live_owners_per_call_distinct=True,owners_per_call=N,actual_helper_owner_charts=HOSTED,actual_73column_sigmas=len(r['sigmas']),cross_replica_helper_roles=r['cross_replica'],explicit_idle_remainder_children=r['idle_remainders'],source_idle_children_charged=sum(x['replicas']for x in parent['idle_children']),source_artifacts=summary['source_artifacts'],controller_audit_sha256=hashlib.sha256(REPORT.read_bytes()).hexdigest()) +(REPORT.parent/'OWNERS-AND-PROFILE.json').write_text(json.dumps(owners,indent=2)+'\n') + +# Literal residual frames are a compact export of the already checked offsets, +# not another global replay. Every row names its actual inherited axes. +frames=[] +for z in ct['idle_children']: + axes=list(map(int,ph['recipes'][z['port']]['idle_children'][z['child']]['orthogonal_axes'])) + tail=axes[z['pending_offset']:] + assert len(tail)==z['rank'] + frames.append(dict(z,orthogonal_axes=tail)) +frame_raw=json.dumps(frames,sort_keys=True,separators=(',',':')).encode() +(OUT/'IDLE-REMAINDER-FRAMES.json.gz').write_bytes(gzip.compress(frame_raw,mtime=0)) +frame_receipt=dict(status='PASS_LITERAL_IDLE_REMAINDER_FRAMES',template_sha256=summary['template_sha256'], + uncompressed_frames_sha256=hashlib.sha256(frame_raw).hexdigest(),children=len(frames), + rank_profile=dict(sorted(Counter(z['rank']for z in frames).items())), + source_data_phase_sha256=hashlib.sha256((BASE/'work/complex-nine-native/DATA-PHASES.json').read_bytes()).hexdigest(), + scope='Actual orthogonal axes after the independently checked whole-owner prefix in each inherited pending child.') +(REPORT.parent/'IDLE-REMAINDER-FRAMES.json').write_text(json.dumps(frame_receipt,indent=2)+'\n') + diff --git a/research/complex-trace-rank5/physical/vendor/pr531/code/emit_local.py b/research/complex-trace-rank5/physical/vendor/pr531/code/emit_local.py new file mode 100644 index 0000000000..a54170b002 --- /dev/null +++ b/research/complex-trace-rank5/physical/vendor/pr531/code/emit_local.py @@ -0,0 +1,156 @@ +# GK: modified copy of PR #433's complex_emit.py (icekylinx with Codex assistance; PR #425) by DreamingOfClouds with Claude Opus 5.5 +# (Anthropic), via Claude Code. Every change is marked "GK:". On a word without start_extra / target_levels the behaviour +# and every written file equal PR #433's (regression anchor in verify.py). +import sys as _sys, os as _os; _sys.path.insert(0, _os.path.dirname(_os.path.abspath(__file__))) +# Adapted from PR425 by icekylinx with Codex assistance. +"""Emit both local programs, integrate the fixed nine-stage geometry, and bill. + +The expanded scalar interface is justified in PROOF.txt. This script does not +claim a Lean proof or discharge the inherited all-size/analytic interfaces. +""" +import copy,gzip,hashlib,importlib.util,json,math +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + +OUT=Path(_sys.argv[1]);cp=OUT/'CANONICAL-WORD.json.gz' +c=json.load(gzip.open(cp)) +frames=c['frames'];v,R,h=c['v'],c['R'],c['h'];n=2*v+R +def digest(x):return hashlib.sha256(json.dumps(x,sort_keys=True,separators=(',',':')).encode()).hexdigest() +def basis(vs): + b={} + for x in vs: + for p in sorted(b,reverse=True): + if x>>p&1:x^=b[p] + if x: + p=x.bit_length()-1 + for q in b: + if b[q]>>p&1:b[q]^=x + b[p]=x + return tuple(b[p] for p in sorted(b,reverse=True)) +def dual(e): + e=list(e) + if e[0]=='add':e[1],e[2]=e[2],e[1];e[3]*=-1 + else:e[2],e[3]=e[3],e[2] + return e +def scalar(e,back): + e=dual(e) if back else list(e) + if e[0]=='add':return ['add',['L',e[1]],['L',e[2]],e[3],e[4]] + return ['scale',['L',e[1]],e[2],e[3]] +def primitive_bound(e): + if e[0] in ('clear','copy'):return 1 + q=Q(e[3],e[4]) if e[0]=='add' else Q(e[2],e[3]) + a,b=abs(q.numerator),q.denominator + assert b&(b-1)==0 + if e[0]=='scale': + assert a&(a-1)==0 + return abs(a.bit_length()-b.bit_length())+int(q<0) + # Exact binary Horner multiplication on a cleared private stream, repeated + # halving, signed accumulation into the target, then clear the private stream. + return 3+(a.bit_length()-1)+a.bit_count()+(b.bit_length()-1) + +def emit(back): + out=[];cur=c['start'].copy() + def event(e):out.append(e) + def scal(e,f):event(['scalar',e,f]) + event(['phase','zero_frame_precondition']) + for e in c['precondition']+c['compensation']: + regs=[e[1]]+([e[2]] if e[0]=='add' else []) + assert all(c['start'][r]==0 for r in regs) + scal(scalar(e,back),0) + event(['phase','entry_adapters']) + # GK: a helper that starts at a nonzero entrance frame has NO entry adapter; its paid wrapper R_E^-1 (Lemma A) precedes every gate + # that touches it and L_E^-1 follows the full-frame cleanup. Words without entrances emit PR #433's events. + entering=[r for r,f in enumerate(c['start']) if r>=2*v and f!=0] + for r,f in enumerate(c['start']): + if r in entering:event(['residual_adapter','pre',r,f]) + else:event(['adapter','old_to_new',r,f]) + def climb(r,f,part): + old=cur[r] + if old==f:return + assert basis(frames[old]+frames[f])==tuple(frames[f]) + rank=len(frames[f])-len(frames[old]);assert rank>0 + event(['climb',part,r,old,f,rank]);cur[r]=f + for part in ('A','centers','B','final'): + event(['phase',part]) + if part in ('A','B'): + for e in c[part]: + regs=[e[1]]+([e[2]] if e[0]=='add' else []) + for r in regs:climb(r,e[-1],part) + scal(scalar(e,back),e[-1]) + elif part=='centers': + # GK: targets sit at their nonzero-frame-compensation level (0 at the defaults); a centre copy descends + # cf -> served levels (descending chain) -> lowest served level and scatters into each target at its level + lv=lambda r:c.get('target_levels',{}).get(str(r-v),0) + assert all(cur[r]==lv(r) for r in range(v,2*v)) + for k,r in enumerate(c['centers']): + cf=c['center_frames'][k];assert cur[r]==cf + terms=[e for e in c['cut'] if e[2]==r] + path=[cf]+sorted({lv(e[1]) for e in terms}-{cf},key=lambda x:-len(frames[x])) + C=['C',k] + if not back: + scal(['clear',C],cf);scal(['copy',C,['L',r]],cf) + for a in range(len(path)): + if a>0:event(['center',k,path[a-1],path[a],len(frames[path[a-1]])-len(frames[path[a]])]) + for e in terms: + if lv(e[1])==path[a]:scal(['add',['L',e[1]],C,e[3],e[4]],path[a]) + scal(['clear',C],path[-1]) + else: + scal(['clear',C],path[-1]) + for a in range(len(path)-1,-1,-1): + for e in terms: + if lv(e[1])==path[a]:scal(['add',C,['L',e[1]],e[3],e[4]],path[a]) + if a>0:event(['center',k,path[a],path[a-1],len(frames[path[a-1]])-len(frames[path[a]])]) + scal(['add',['L',r],C,-1,1],cf);scal(['clear',C],cf) + else: + for r,f in enumerate(c['final']):climb(r,f,part) + event(['phase','exit_adapters']) + for r,f in enumerate(c['final']):event(['adapter','new_to_old',r,f]) + event(['phase','full_frame_cleanup']) + for e in c['cleanup']: + regs=[e[1]]+([e[2]] if e[0]=='add' else []) + assert all(c['final'][r]==1 for r in regs) + scal(scalar(e,back),1) + for r in entering:event(['residual_adapter','post',r,c['start'][r]]) # GK: L_E^-1 after the full-frame cleanup + event(['phase','done']) + return out + +def check_local(events,back): + # Literal scalar replay of the emitted stream, including center lifetimes. + state={('L',r):{r:Q(1)} for r in range(n)};live=[];paid=Counter();prims=0;macros=0 + for e in events: + if e[0]=='climb':assert not live;paid[e[5]]+=1 + elif e[0]=='center':assert live==[e[1]];paid[e[4]]+=1 + elif e[0]=='scalar': + op=e[1];tag=op[0];t=tuple(op[1]);macros+=1;prims+=2*primitive_bound(op) + if tag=='clear': + state[t]={} + if t[0]=='C' and t[1] in live:live.remove(t[1]) + elif tag=='copy':state[t]=dict(state.get(tuple(op[2]),{}));live.append(t[1]) + elif tag=='scale':state[t]={j:Q(op[2],op[3])*x for j,x in state[t].items()} + else: + s=tuple(op[2]);q=Q(op[3],op[4]);row=state.setdefault(t,{}) + if t[0]=='C' and t[1] not in live:live.append(t[1]) + for j,x in list(state.get(s,{}).items()): + z=row.get(j,Q(0))+q*x + if z:row[j]=z + else:row.pop(j,None) + assert not live and all(not row for r,row in state.items() if r[0]=='C') + for r in range(n): + expected={r:Q(1)} + if back and r>i)&1);u=q^(1<>i&1 else 0)for i in order]+[1<=0 and off+w<=rank[i] + assert z['time']==at[s,rep] and z['time'] in plan['windows'][f'{orp},{i}'][1] + B=OH.idle_basis(canon['ports'][port]);pending=list(map(int,ph['recipes'][port]['idle_children'][i]['orthogonal_axes']));assert len(pending)==rank[i] + occ=[B.index(v)for v in pending[off:off+w]];sp=OH.spectators(canon['ports'][port],pending,off,w)if w<9 else[] + order=occ+sp+[j for j in range(M)if j not in occ and j not in sp];assert len(order)==len(set(order))==M + sigma=[B[j]for j in order];sigmahash=hashlib.sha256(json.dumps(sigma,separators=(',',':')).encode()).hexdigest();sigmas[sigmahash]=sigma + route=[4,i,off,w,sp]if w<9 else[3,i,off];bycall[s,rep][h]=[f,route];entering+=w<9 + cells=set(range(off,off+w));assert not used[i,orp,port]&cells;used[i,orp,port]|=cells + digest.update(json.dumps([s,rep,h,f,sigmahash],separators=(',',':')).encode()+b'\n') +for c in t['calls']: + k=(c['stage'],c['replica']);assert set(bycall[k])==set(range(R)) + c['owners']=c['owners'][:(2*V)]+[bycall[k][h]for h in range(R)];assert len({f for f,r in c['owners']})==2*V+R and all(f2*max(paid)**2 + +assert t['local_programs']==parent['local_programs'] +raw=json.dumps(t,sort_keys=True,separators=(',',':')).encode();(OUT/'GLOBAL-TEMPLATE.json.gz').write_bytes(gzip.compress(raw,mtime=0)) +res=dict(status='EMITTED_ASYNCHRONOUS_WHOLE_OWNER_COMPLEX_TEMPLATE',template_sha256=hashlib.sha256(raw).hexdigest(),parent_template_sha256=hashlib.sha256(gzip.decompress((BASE/'split-centres/GLOBAL-TEMPLATE.json.gz').read_bytes())).hexdigest(),live=DATA,physical=physical,global_profile=dict(sorted(paid.items())),rank_mass=sum(r*n for r,n in paid.items()),deficit=2560,maxchild=max(paid),hosted_residuals=len(roles),banks_per_stage=[0]*9,entering_helper_roles=entering,unique_actual_73column_sigmas=len(sigmas),sigma_stream_sha256=digest.hexdigest(),cross_replica_helper_roles=sum(z['replica']!=z['owner_replica']for z in roles),asynchronous_order_sha256=hashlib.sha256(json.dumps(call_order,separators=(',',':')).encode()).hexdigest(),source_artifacts={p.relative_to(BASE).as_posix():hashlib.sha256(p.read_bytes()).hexdigest()for p in [BASE/'split-centres/CANONICAL-WORD.json.gz',BASE/'split-centres/LOCAL-PROGRAMS.json.gz',BASE/'split-centres/LOCAL-CHECKS.json',BASE/'split-centres/RESIDUAL-ADAPTERS.json',BASE/'split-centres/CLIFFORD-RECIPES.json',BASE/'split-centres/CLIFFORD-REVIEW.json',BASE/'split-centres/INDEPENDENT-LOCAL-REPLAY.json',BASE/'work/complex-nine-native/DATA-PHASES.json']},scope='New emitted complete-invocation placement; independent controller/spectator/normalization and complete finite invoice admission required.') +(OUT/'HOSTED.json').write_text(json.dumps(res,indent=2)+'\n');(OUT/'ACTUAL-SIGMAS.json.gz').write_bytes(gzip.compress(json.dumps(sigmas,separators=(',',':')).encode(),mtime=0));print(json.dumps(res,indent=2)) diff --git a/research/complex-trace-rank5/physical/vendor/pr531/code/invoice_final.py b/research/complex-trace-rank5/physical/vendor/pr531/code/invoice_final.py new file mode 100644 index 0000000000..abefcee47b --- /dev/null +++ b/research/complex-trace-rank5/physical/vendor/pr531/code/invoice_final.py @@ -0,0 +1,299 @@ +"""Recount a changed local word and its actual asynchronous finite invoice. + +Prepared for icekylinx with OpenAI Codex assistance. Apache-2.0. +Adapted from the attributed Round19 audit_async_invoice.py and its PR484/514 +ancestry. Uses the fresh hash-bound independent local replay for exact scalar +endpoints; independently recounts emitted Horner work, prefix envelopes, +paid local calls, wrappers and finite charges. Does not rerun the old baseline +or read an old INTEGRATION.json as evidence for the changed word. +""" +import argparse +import gzip +import hashlib +import json +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + + +def read(path): + data = path.read_bytes() + return json.loads(gzip.decompress(data) if path.suffix == '.gz' else data) + + +def filehash(path): + return hashlib.sha256(path.read_bytes()).hexdigest() + + +def contenthash(path): + data = path.read_bytes() + return hashlib.sha256(gzip.decompress(data) if path.suffix == '.gz' else data).hexdigest() + + +def run(base, hosted, audit, out, retained_invoice=None): + local_dir = base / 'split-centres' + cp = local_dir / 'CANONICAL-WORD.json.gz' + pp = local_dir / 'LOCAL-PROGRAMS.json.gz' + rp = local_dir / 'INDEPENDENT-LOCAL-REPLAY.json' + w, programs, replay = read(cp), read(pp), read(rp) + checks = read(local_dir / 'LOCAL-CHECKS.json') + parent = read(local_dir / 'GLOBAL-TEMPLATE.json.gz') + template_path = hosted / 'GLOBAL-TEMPLATE.json.gz' + template = read(template_path) + owners = read(audit / 'OWNERS-AND-PROFILE.json') + control = read(audit / 'ASYNC-AUDIT.json') + template_hash = contenthash(template_path) + assert template_hash == control['complex_template_sha256'] == owners['template_sha256'] + assert owners['status'] == 'PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE' + assert replay['status'] == 'PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY' + assert replay['canonical_word_sha256'] == filehash(cp) + assert replay['local_programs_sha256'] == filehash(pp) + assert template['local_programs'] == parent['local_programs'] == programs + assert template['recipe'] == parent['recipe'] + assert Counter(c['orientation'] for c in template['calls']) == Counter(c['orientation'] for c in parent['calls']) + + v, helpers, h, m = w['v'], w['R'], w['h'], template['m'] + assert v == 112 and h == 9 and m == 73 + assert replay['v'] == v and replay['helpers'] == helpers + n = 2*v + helpers + stages, replicas, blocks_per_stream = 9, 8, 4 + call_count = len(template['calls']) + assert call_count == stages*replicas == control['complete_invocations'] + assert control['one_owner_per_complete_invocation'] + payload = 512 + + widths = [h-len(w['frames'][f]) for f in w['start'][2*v:]] + assert len(widths) == helpers + entrances = {r: f for r, f in enumerate(w['start']) if r >= 2*v and f != 0} + entering = len(entrances) + assert entering == replay['entering_helpers'] + local = {} + for orientation, events in programs.items(): + # Endpoint equality and native frames were already independently + # replayed on all n columns in the hash-bound receipt above. + env = {('L', r): Q(1) for r in range(n)} + peak = Q(1) + real = macros = workops = 0 + paid = Counter() + wrappers = {'pre': set(), 'post': set()} + for event in events: + tag = event[0] + if tag == 'climb': + paid[event[5]] += 1 + elif tag == 'center': + paid[event[4]] += 1 + elif tag == 'residual_adapter': + _, kind, register, frame = event + assert kind in wrappers and entrances.get(register) == frame + assert register not in wrappers[kind] + wrappers[kind].add(register) + elif tag == 'scalar': + macros += 1 + scalar = event[1] + op, target = scalar[0], tuple(scalar[1]) + if op == 'clear': + env[target] = Q(0) + count = 1 + elif op == 'copy': + env[target] = env[tuple(scalar[2])] + count = 1 + elif op == 'scale': + q = Q(scalar[2], scalar[3]) + numerator, denominator = abs(q.numerator), q.denominator + assert numerator and numerator & (numerator-1) == 0 + assert denominator & (denominator-1) == 0 + env[target] *= abs(q) + count = abs(numerator.bit_length()-denominator.bit_length()) + int(q < 0) + elif op == 'add': + source = tuple(scalar[2]) + q = Q(scalar[3], scalar[4]) + numerator, denominator = abs(q.numerator), q.denominator + assert source != target and numerator > 0 + assert denominator & (denominator-1) == 0 + acc, count = 0, 1 # clear coefficient work + for i, bit in enumerate(bin(numerator)[2:]): + if i: + acc *= 2 + count += 1 + peak = max(peak, acc*env[source]) + if bit == '1': + acc += 1 + count += 1 + peak = max(peak, acc*env[source]) + value = Q(acc) + for _ in range(denominator.bit_length()-1): + value /= 2 + count += 1 + peak = max(peak, value*env[source]) + assert value == abs(q) + count += 2 # signed accumulation and work clear + env[target] = env.get(target, Q(0)) + abs(q)*env[source] + workops += count + else: + raise AssertionError(op) + real += 2*count + peak = max(peak, env[target]) + else: + assert tag in ('adapter', 'phase') + assert wrappers['pre'] == wrappers['post'] == set(entrances) + assert all(value == 0 for register, value in env.items() if register[0] == 'C') + prior = replay['local'][orientation] + assert prior['all_exact_columns'] == n and prior['private_work_erased'] + assert peak == Q(prior['prefix_l1_upper']) and peak < 2**prior['charged_payload_bits'] + bits = peak.numerator.bit_length()-peak.denominator.bit_length()+1 + assert bits == prior['prefix_bits_upper'] + assert real == checks[orientation]['real_component_primitive_bound'] + assert macros == checks[orientation]['scalar_macros'] + assert dict(paid) == {int(r): count for r, count in checks[orientation]['paid_profile'].items()} + assert dict(paid) == {int(r): count for r, count in replay['paid_profiles'][orientation].items()} + local[orientation] = dict( + events=len(events), macros=macros, real_component_primitives=real, + prefix_l1=str(peak), prefix_bits=bits, + coefficient_work_primitive_count=workops, all_exact_columns=n, + dirty_helper_columns=helpers, all_dirty_helper_columns_restored=True, + private_centres_and_coefficient_work_cleared=True, + pre_wrappers=len(wrappers['pre']), post_wrappers=len(wrappers['post']), + endpoint_evidence='Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json') + + centres = len(w['centers']) + children = sum(checks['forward']['paid_profile'].values()) + assert checks['forward']['paid_profile'] == checks['backward']['paid_profile'] + macro_bound = max(row['macros'] for row in local.values()) + compiler = 64*(m+1)**3 + adapters = 16*(macro_bound+children+n+centres)+64*m + primitive_bound = max(row['real_component_primitives'] for row in local.values())+adapters*compiler + + bridge_steps = sum(event['kind'] == 'bridge' for event in parent['recipe']) + bridge_sweeps = sum(event['kind'] == 'bridge' for event in template['execution_schedule']) + assert bridge_sweeps == replicas*bridge_steps + bridge_additions = 2*v*bridge_sweeps + shifts = blocks_per_stream*v*replicas + moves = 2*shifts + parent_live, parent_physical = parent['live'], parent['physical'] + data_stock = 2*v*blocks_per_stream*replicas + assert (parent_live-data_stock) % stages == 0 + parent_banks = (parent_live-data_stock)//stages + assert parent_banks >= 0 + assert parent_physical == parent_live+helpers+centres+2 + scalar = sum(local[call['orientation']]['real_component_primitives'] for call in template['calls']) + factors_per_wrapper = 2*(m-1) + wrapper_factors = 2*call_count*entering*factors_per_wrapper + nonlocal_items = ( + 4*v*replicas*stages + 2*v*replicas*stages + + 2*call_count*helpers + + sum(child['replicas'] for child in parent['idle_children']) + + stages*parent_banks + bridge_additions + shifts + moves + + parent_live + parent_physical + wrapper_factors) + outside = 8*nonlocal_items+64*m + parent_pervertex = ( + scalar+bridge_additions+shifts+moves+parent_live + +(call_count*adapters+outside)*compiler+64*parent_physical) + + live, physical = template['live'], template['physical'] + mass, profile = owners['rank_mass'], owners['paid_profile'] + assert m*live-mass == owners['deficit'] == 2560 + assert mass == sum(int(r)*count for r, count in profile.items()) + assert physical == live+helpers+centres+2 + assert live == owners['live'] and physical == owners['physical'] + assert live <= parent_live and physical <= parent_physical + assert not template['bank_padding']['families'] + assert owners['explicit_idle_remainder_children'] <= owners['source_idle_children_charged'] + rebased = parent_pervertex+65*(physical-parent_physical)+(live-parent_live) + used = max(rebased, parent_pervertex) + retained = None + if retained_invoice is not None: + previous = read(retained_invoice) + assert previous['compiler'] == compiler + assert previous['charged_prefix_bits'] == payload + previous_bound = previous['conservative_pervertex_used'] + # The entire newly reconstructed charge is added to the retained old + # allowance. This is intentionally stronger than only paying positive + # deltas and makes no claim that the old integration certifies this word. + used = max(used, previous_bound+parent_pervertex) + retained = dict(sha256=filehash(retained_invoice), + previous_pervertex_allowance=previous_bound, + added_complete_new_pervertex=parent_pervertex, + policy='Retain old allowance and add the entire fresh recount.') + + half = m//2 + group = 2**(half*half) + for i in range(1, half+1): + group *= 2**(2*i)-1 + stock, streamed_mass = group*physical, group*mass + logical = group*used+64 + router = compiler*(logical+1)*(stock+1)**2 + g_bound, e_bound, c0 = 2**30000, 2**100000, 2**210000 + total_mass = streamed_mass+e_bound + literal = 2*g_bound*stock**2+8*streamed_mass+4*stock+4+32*m + row = 2*stock.bit_length()+9909+252+2*payload + maxchild = max(map(int, profile)) + inequalities = dict( + local_primitive_bound=primitive_bound < 2**48, + logical=logical < 2**6050, router=router < g_bound, + literal=literal < e_bound, mass=total_mass < 2**100001, + precision=32*m*total_mass*total_mass < c0, + tape=2*total_mass+18 < c0, row=row < 20161, + halving=m*m > 2*maxchild*maxchild) + assert all(inequalities.values()) + localbits = max(row['prefix_bits'] for row in local.values()) + input_l2_bits = (m+1)//2 + required_prefix = localbits+input_l2_bits+call_count+bridge_sweeps+4 + assert required_prefix < payload + + receipt = dict( + status='PASS_INDEPENDENT_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE', + template_sha256=template_hash, + parent_template_sha256=contenthash(local_dir/'GLOBAL-TEMPLATE.json.gz'), + owner_audit_sha256=filehash(audit/'OWNERS-AND-PROFILE.json'), + controller_audit_sha256=filehash(audit/'ASYNC-AUDIT.json'), + independent_local_replay_sha256=filehash(rp), + canonical_word_sha256=filehash(cp), local_programs_sha256=filehash(pp), + local_checks_sha256=filehash(local_dir/'LOCAL-CHECKS.json'), + global_prefix_bits=required_prefix, charged_prefix_bits=payload, + complete_invocation_sweeps=call_count, bridge_sweeps=bridge_sweeps, + row_prefix_extra=2*payload, local=local, helpers=helpers, + centres=centres, live=live, physical=physical, + physical_stock_identity=dict(data_and_owner_families=live, + local_helpers=helpers, private_centres=centres, + coefficient_work=2), + entering_helpers=entering, entrance_rank=sum(h-width for width in widths), + width_inventory=dict(sorted(Counter(widths).items())), + local_adapters=adapters, local_primitive_bound=primitive_bound, + wrapper_elementary_factors_charged=wrapper_factors, + factors_per_wrapper=factors_per_wrapper, compiler=compiler, + unhosted_pervertex=parent_pervertex, hosted_rebased_pervertex=rebased, + conservative_pervertex_used=used, retained_prior_overcharge=retained, + finite=dict(physical_stock_bits=stock.bit_length(), router_bits=router.bit_length(), + literal_bits=literal.bit_length(), physical_row_coefficient=row, + retained_row_coefficient=20161, + required_C0_bits=(32*m*total_mass*total_mass).bit_length(), + halving_integer_inequality=[m*m, 2*maxchild*maxchild], + G_exponent=30000, E_exponent=100000, C0_exponent=210000), + strict_checks=inequalities, + scope='Fresh emitted primitive/Horner, prefix, wrapper and finite recount, using the hash-bound independent local all-column/frame replay and actual whole-owner audit. No old INTEGRATION receipt is used to certify the changed word. The inherited all-size compiler, precision/tape and analytic-transfer contracts remain conditional. Retained payload 512 and physical row allowance 20161 are unchanged.') + prefix = dict( + status='PASS_ASYNC_GLOBAL_PREFIX', template_sha256=template_hash, + global_prefix_bits=required_prefix, retained_payload_bits=payload, + complete_invocation_cover_sweeps=call_count, + bridge_factor_two_sweeps=bridge_sweeps, + local_scalar_coefficient_work_prefix_bits=localbits, + stream_input_sup_to_l2_bits=input_l2_bits, + primitive_arithmetic_margin_bits=4, + controller_audit_sha256=filehash(audit/'ASYNC-AUDIT.json'), + independent_local_replay_sha256=filehash(rp), + proof=f'Each complete normalized invocation has unitary helper endpoints and a data shear with at most two unitary summands. Actual full orthogonal owner charts act by right-translation bijections on the retained cover group. Count all {call_count} complete local sweeps and {bridge_sweeps} individual bridge sweeps. Unit-modulus phases, idle children, terminal translations and normalized spectator endpoints are unitary. The independently recounted scalar/Horner envelope uses {localbits} bits; input sup-to-L2 uses {input_l2_bits}; arithmetic margin is 4. Total {required_prefix} < {payload}. All-size child/compiler and precision/tape interfaces remain inherited.') + out.mkdir(parents=True, exist_ok=True) + (out/'PREFIX-AND-INVOICE.json').write_text(json.dumps(receipt, indent=2)+'\n') + (out/'GLOBAL-PREFIX.json').write_text(json.dumps(prefix, indent=2)+'\n') + print(json.dumps(receipt, indent=2), flush=True) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--base', type=Path, required=True) + parser.add_argument('--hosted', type=Path, required=True) + parser.add_argument('--audit', type=Path, required=True) + parser.add_argument('--out', type=Path, required=True) + parser.add_argument('--retained-invoice', type=Path) + args = parser.parse_args() + run(args.base, args.hosted, args.audit, args.out, args.retained_invoice) diff --git a/research/complex-trace-rank5/physical/vendor/pr531/code/prepare_supplier_base.py b/research/complex-trace-rank5/physical/vendor/pr531/code/prepare_supplier_base.py new file mode 100644 index 0000000000..650fc9fd77 --- /dev/null +++ b/research/complex-trace-rank5/physical/vendor/pr531/code/prepare_supplier_base.py @@ -0,0 +1,95 @@ +"""Bind the new supplier to the unchanged verified 112-port data controller. + +The parent uses one dedicated bank per helper and stage. Each of its eight +complete invocations uses a disjoint width-w block; the residual bank frame is +listed literally. The final whole-owner derivative removes every such bank. +All inherited data routes and exact data phase recipes remain byte-identical. +""" +import argparse +import copy +import gzip +import hashlib +import json +import shutil +from collections import Counter +from pathlib import Path + +ap=argparse.ArgumentParser(description=__doc__) +ap.add_argument('--data-base',type=Path,required=True) +ap.add_argument('--local',type=Path,required=True) +ap.add_argument('--out',type=Path,required=True) +a=ap.parse_args() +def read(p):return json.loads(gzip.decompress(p.read_bytes())if p.suffix=='.gz'else p.read_bytes()) +def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest() +def dump(p,obj): + b=json.dumps(obj,sort_keys=True,separators=(',',':')).encode();p.parent.mkdir(parents=True,exist_ok=True) + p.write_bytes(gzip.compress(b,mtime=0)if p.suffix=='.gz'else b+b'\n') + return hashlib.sha256(b).hexdigest() +assert not a.out.exists(),'Output must be new' +old=read(a.data_base/'split-centres/GLOBAL-TEMPLATE.json.gz') +oldcan=read(a.data_base/'split-centres/CANONICAL-WORD.json.gz') +can=read(a.local/'CANONICAL-WORD.json.gz');checks=read(a.local/'LOCAL-CHECKS.json');programs=read(a.local/'LOCAL-PROGRAMS.json.gz') +V,H,R=can['v'],can['h'],can['R'];C=len(can['centers']);M,T,L,K=73,8,9,4 +assert(V,H,C)==(112,9,8)and can['ports']==oldcan['ports'] +widths=[H-len(can['frames'][f])for f in can['start'][2*V:]];assert len(widths)==R +local_H={int(r):n for r,n in checks['forward']['paid_profile'].items()} +assert all({int(r):n for r,n in z['paid_profile'].items()}==local_H for z in checks.values()) +assert sum(r*n for r,n in local_H.items())==2*V*(H-1)+64+sum(widths) +D=a.out/'split-centres';D.mkdir(parents=True) +required=('CANONICAL-WORD.json.gz','FULL-WORD.json.gz','LOCAL-PROGRAMS.json.gz','LOCAL-CHECKS.json','RESIDUAL-ADAPTERS.json','CLIFFORD-RECIPES.json','CLIFFORD-REVIEW.json','INDEPENDENT-LOCAL-REPLAY.json') +for name in required:assert(a.local/name).is_file() +for p in a.local.iterdir(): + if p.is_file():shutil.copyfile(p,D/p.name) +shutil.copyfile(a.local/'INDEPENDENT-LOCAL-REPLAY.json',D/'INDEPENDENT-REPLAY.json') +for rel in('work/complex-nine-native/DATA-PHASES.json',*[f'work/pr361/code/engines/{n}'for n in('moment.py','base_two_moment.py','outer.py')]): + dst=a.out/rel;dst.parent.mkdir(parents=True,exist_ok=True);shutil.copyfile(a.data_base/rel,dst) +DATA=2*K*T*V;W=DATA+L*R;P=W+R+C+2 +t=copy.deepcopy(old);t.update(version='round20-new-supplier-dedicated-bank-parent-v1',live=W,physical=P,local_programs=programs) +t['private_namespace']={'centers':[W,W+C],'reserved_tableau':[W+C,W+C+R],'coefficient':[P-2,P]} +for c in t['calls']: + s,rep=c['stage'],c['replica'];owners=copy.deepcopy(c['owners'][:2*V]) + for helper,w in enumerate(widths): + family=DATA+s*R+helper + route=[2,rep]if w==9 else[2,rep*w,w,list(range(T*w,T*w+9-w))] + owners.append([family,route]) + assert len(owners)==len({f for f,_ in owners})==2*V+R + c['owners']=owners;c['local_program_sha256']=checks[c['orientation']]['sha256'] +bank_children=[];pad=Counter() +for s in range(L): + for helper,w in enumerate(widths): + f=DATA+s*R+helper;axes=list(range(T*w,M));rank=len(axes) + assert 02*max(paid)**2 +assert t['recipe']==old['recipe'] and t['idle_children']==old['idle_children'] +assert t['execution_schedule'][:30]==old['execution_schedule'][:30] +assert all(c['owners'][:2*V]==oc['owners'][:2*V]for c,oc in zip(t['calls'],old['calls'])) +th=dump(D/'GLOBAL-TEMPLATE.json.gz',t) +report=dict(status='BOUND_NEW_LOCAL_SUPPLIER_TO_UNCHANGED_DATA_CONTROLLER',R=R,v=V,m=M, + live=W,physical=P,rank_mass=mass,deficit=2560,global_profile=dict(sorted(paid.items())), + bank_remainder_profile=dict(sorted(pad.items())),bank_assignments=L*T*R, + global_template_sha256=th,local_program_checks=checks, + canonical_word_sha256=sha(D/'CANONICAL-WORD.json.gz'),exact_phase_receipt_sha256=sha(D/'CLIFFORD-REVIEW.json'), + scope='The new local programs and phase/normalization artifacts are hash-bound to the unchanged data controller. Every dedicated bank and complement frame is explicit. The final whole-owner placement and independent scalar/finite recount are supplied separately; this file does not assert an old finite invoice.') +dump(D/'INTEGRATION.json',report) +print(json.dumps({k:report[k]for k in('status','R','live','physical','global_profile','bank_remainder_profile')},indent=2),flush=True) diff --git a/research/complex-trace-rank5/physical/vendor/pr531/vendor/clifford/clifford_exact.py b/research/complex-trace-rank5/physical/vendor/pr531/vendor/clifford/clifford_exact.py new file mode 100644 index 0000000000..166841a037 --- /dev/null +++ b/research/complex-trace-rank5/physical/vendor/pr531/vendor/clifford/clifford_exact.py @@ -0,0 +1,149 @@ +"""Small exact Gaussian-dyadic Clifford compiler, independent of gx internals. +Paulis use i^p X^x Z^z. State vectors use integer Gaussian numerators / 2^d. +The tableau is supplemented by a literal circuit, so global phases are kept. +""" +from dataclasses import dataclass + +def parity(x):return x.bit_count()&1 +def rank(rows): + p={} + for x in rows: + while x: + b=x.bit_length()-1 + if b not in p:p[b]=x;break + x^=p[b] + return len(p) +def transpose(rows,n):return tuple(sum(((rows[j]>>i)&1)<>j&1);a[j],a[k]=a[k],a[j] + for i in range(n): + if i!=j and a[i]>>j&1:a[i]^=a[j] + assert [r&((1<>n for r in a) +def basis_extend(cols,n): + out=[] + for x in list(cols)+[1<len(out):out.append(x) + assert len(out)==n + return tuple(out) +def nullspace(rows,n): + a=list(rows);p=[];k=0 + for j in range(n): + t=next((i for i in range(k,len(a)) if a[i]>>j&1),None) + if t is None:continue + a[t],a[k]=a[k],a[t] + for i in range(len(a)): + if i!=k and a[i]>>j&1:a[i]^=a[k] + p.append(j);k+=1 + return tuple((1<>j)&1)<>i&1:out=pmul(out,T[i]) + for i in range(n): + if z>>i&1:out=pmul(out,T[n+i]) + return out +def compose(A,B):return tuple(apply(A,p) for p in B) +def inverse(T): + n=len(T)//2;cols=[x|(z<>n;u,v,p=apply(T,(x,z,0));assert (u,v)==identity(n)[j][:2];out.append((x,z,(-p)%4)) + return tuple(out) +def qvalue(Q,alpha,x,n): + return (sum(alpha[i] for i in range(n) if x>>i&1)+2*sum(parity((Q[i]>>(i+1))&(x>>(i+1))) for i in range(n) if x>>i&1))%4 +def mul_i(a,p): + x,y=a;p%=4 + return [(x,y),(-y,x),(-x,-y),(y,-x)][p] +@dataclass +class Op: + n:int + tab:tuple + circuit:list + def then(self,b): + assert self.n==b.n + return Op(self.n,compose(b.tab,self.tab),self.circuit+b.circuit) + def adjoint(self): + circ=[] + for e in reversed(self.circuit): + if e[0]=='P':circ.append(('P',inv(e[1],self.n))) + elif e[0]=='D':circ.append(('D',e[1],tuple((-x)%4 for x in e[2]))) + elif e[0]=='C':circ.append(('C',e[1],-e[2])) + elif e[0]=='phase':circ.append(('phase',(-e[1])%4)) + else:circ.append(e) + return Op(self.n,inverse(self.tab),circ) + def zero_state(self,basis=0): + N=1<>i)&1 for i in range(n)) + assert all(alpha[i]%2==(Q[i]>>i)&1 for i in range(n)) + return Op(n,tuple([(1<>i&1 else 0,1<>i&1 else 0) for i in range(n)]),[('C',q,sgn)]) +def xgate(n,b):return Op(n,tuple([(1<>i)&1)) for i in range(n)]),[('X',b)]) +def fourier(n,axes=None): + out=ident(n) + for i in range(n) if axes is None else axes:out=out.then(cgate(n,1<len(selected):picks.append(j);selected.append(x) + assert len(picks)==r and all(x>>r==0 for x in Bcols) + Br=transpose(selected,r);Bi=inv(Br,r);Dr=transpose([Dcols[j]&((1<