From e99331a8a907e8a791507b668c90d51c4ef8f971 Mon Sep 17 00:00:00 2001 From: Chafik Boukhalfa Date: Thu, 8 Oct 2026 23:06:35 +0400 Subject: [PATCH 1/6] Compose anchored split frames with profile-cost live reclamation --- Makefile | 7 + NOTICE | 20 + README.md | 21 + certificates/joint-dual-kappa.json | 2 +- certificates/joint-dual-validation.json | 2 +- certificates/split-pair-compiler.json | 345 + certificates/split-pair-kappa.json | 1547 ++ certificates/split-pair-profiles-23.json | 1 + certificates/split-pair-profiles-25.json | 1 + .../split-pair-repository-validation.json | 20 + certificates/split-pair-transitions-23.json | 35 + certificates/split-pair-transitions-25.json | 37 + certificates/split-pair-validation.json | 237 + certificates/split-pair-word-23.json.gz | Bin 0 -> 2933867 bytes certificates/split-pair-word-25.json.gz | Bin 0 -> 3943258 bytes .../pr59-split-operation/LICENSE | 201 + .../pr59-split-operation/NOTICE | 229 + .../pr59-split-operation/SOURCE.json | 12 + .../research/split-skip/SOURCE.json | 189 + .../research/split-skip/split_graph.py | 126 + references/frame-compiler/pr65/LICENSE | 201 + references/frame-compiler/pr65/NOTICE | 252 + references/frame-compiler/pr65/SOURCE.json | 53 + .../frame-compiler/pr48/SOURCE.json | 16 + .../copied-fixed/balanced_assembly.py | 196 + .../research/copied-fixed/certificate.json | 17916 ++++++++++++++++ .../research/copied-fixed/changed_graph.py | 60 + .../pr48/research/copied-fixed/profiles.cpp | 107 + .../pr48/research/copied-fixed/verify.py | 330 + .../pr48/scripts/exclusion_circuit.py | 184 + .../pr48/scripts/partial_swap/binary_io.hpp | 43 + .../pr48/scripts/partial_swap/paired.py | 46 + .../pr48/scripts/partial_swap/shared.py | 163 + .../pr65/research/pair-assembly/PROOF.md | 221 + .../pr65/research/pair-assembly/SOURCE.json | 147 + .../pair-assembly/frame/frame-compiler.json | 176 + .../pair-assembly/frame/frame_verify.py | 176 + .../pr65/research/pair-assembly/pair_graph.py | 248 + .../research/reordered-rank-pair/README.md | 74 + .../reordered-rank-pair/arithmetic/README.md | 174 + .../arithmetic/audit-receipt.json | 26 + .../reordered-rank-pair/arithmetic/audit.py | 120 + .../arithmetic/certificate.json | 1087 + .../reordered-rank-pair/arithmetic/refine.py | 162 + .../arithmetic/test_arithmetic.py | 68 + .../current-comparison.json | 9 + .../reordered-rank-pair/frame-compiler.json | 195 + .../frame-profiles-23.json | 38 + .../frame-profiles-25.json | 40 + .../frame-transitions-23.json | 35 + .../frame-transitions-25.json | 35 + .../reordered-rank-pair/frame-word-23.json.gz | Bin 0 -> 2648744 bytes .../reordered-rank-pair/frame-word-25.json.gz | Bin 0 -> 3460251 bytes .../reordered-rank-pair/paired-candidate.json | 252 + .../reordered-rank-pair/test_negative.py | 42 + .../research/reordered-rank-pair/verify.py | 102 + .../pr65/scripts/exclusion_circuit.py | 184 + .../scripts/experiments/binary_frame_math.py | 87 + .../binary_frame_profile_prepare.py | 88 + .../experiments/binary_frame_profiles.cpp | 85 + .../experiments/binary_frame_replay.py | 50 + .../scripts/experiments/rank_pair_compiler.py | 240 + .../pr65/scripts/partial_swap/paired.py | 46 + .../pr65/scripts/partial_swap/shared.py | 163 + references/frame-compiler/pr67/LICENSE | 201 + references/frame-compiler/pr67/NOTICE | 252 + references/frame-compiler/pr67/SOURCE.json | 19 + .../research/slot-cost-rank-pair/README.md | 99 + .../arithmetic/certificate.json | 1090 + .../research/slot-cost-rank-pair/compiler.py | 266 + .../slot-cost-rank-pair/frame-compiler.json | 195 + .../slot-cost-rank-pair/paired-candidate.json | 251 + .../slot-cost-rank-pair/profile_oracle.cpp | 90 + .../research/slot-cost-rank-pair/verify.py | 91 + references/frame-compiler/pr68/LICENSE | 201 + references/frame-compiler/pr68/NOTICE | 326 + references/frame-compiler/pr68/SOURCE.json | 17 + .../research/global-anchor-screen/PROOF.md | 165 + .../research/global-anchor-screen/SOURCE.json | 16 + .../global-anchor-screen/compiler-frozen.py | 246 + .../selected-manifest.json | 42 + .../global-anchor-screen/selected_compile.py | 45 + research/joint-dual/SOURCE.json | 6 +- research/split-pair/PROOF.md | 200 + research/split-pair/README.md | 88 + research/split-pair/SOURCE.json | 118 + research/split-pair/config-23.json | 9 + research/split-pair/config-25.json | 9 + research/split-pair/engine-changes.patch | 74 + research/split-pair/engine-provenance.json | 9 + research/split-pair/parameters.json | 11 + scripts/experiments/pin_split_pair_sources.py | 48 + scripts/experiments/split_pair_arithmetic.py | 39 + scripts/experiments/split_pair_compiler.py | 90 + scripts/experiments/split_pair_compose.py | 161 + scripts/experiments/split_pair_engine.py | 275 + scripts/experiments/split_pair_graph.py | 122 + scripts/experiments/verify_split_pair.py | 78 + tests/test_split_pair.py | 238 + tests/test_split_pair_pending.py | 101 + 100 files changed, 32252 insertions(+), 5 deletions(-) create mode 100644 certificates/split-pair-compiler.json create mode 100644 certificates/split-pair-kappa.json create mode 100644 certificates/split-pair-profiles-23.json create mode 100644 certificates/split-pair-profiles-25.json create mode 100644 certificates/split-pair-repository-validation.json create mode 100644 certificates/split-pair-transitions-23.json create mode 100644 certificates/split-pair-transitions-25.json create mode 100644 certificates/split-pair-validation.json create mode 100644 certificates/split-pair-word-23.json.gz create mode 100644 certificates/split-pair-word-25.json.gz create mode 100644 references/frame-compiler/pr59-split-operation/LICENSE create mode 100644 references/frame-compiler/pr59-split-operation/NOTICE create mode 100644 references/frame-compiler/pr59-split-operation/SOURCE.json create mode 100644 references/frame-compiler/pr59-split-operation/research/split-skip/SOURCE.json create mode 100644 references/frame-compiler/pr59-split-operation/research/split-skip/split_graph.py create mode 100644 references/frame-compiler/pr65/LICENSE create mode 100644 references/frame-compiler/pr65/NOTICE create mode 100644 references/frame-compiler/pr65/SOURCE.json create mode 100644 references/frame-compiler/pr65/references/frame-compiler/pr48/SOURCE.json create mode 100644 references/frame-compiler/pr65/references/frame-compiler/pr48/research/copied-fixed/balanced_assembly.py create mode 100644 references/frame-compiler/pr65/references/frame-compiler/pr48/research/copied-fixed/certificate.json create mode 100644 references/frame-compiler/pr65/references/frame-compiler/pr48/research/copied-fixed/changed_graph.py create mode 100644 references/frame-compiler/pr65/references/frame-compiler/pr48/research/copied-fixed/profiles.cpp create mode 100644 references/frame-compiler/pr65/references/frame-compiler/pr48/research/copied-fixed/verify.py create mode 100644 references/frame-compiler/pr65/references/frame-compiler/pr48/scripts/exclusion_circuit.py create mode 100644 references/frame-compiler/pr65/references/frame-compiler/pr48/scripts/partial_swap/binary_io.hpp create mode 100644 references/frame-compiler/pr65/references/frame-compiler/pr48/scripts/partial_swap/paired.py create mode 100644 references/frame-compiler/pr65/references/frame-compiler/pr48/scripts/partial_swap/shared.py create mode 100644 references/frame-compiler/pr65/research/pair-assembly/PROOF.md create mode 100644 references/frame-compiler/pr65/research/pair-assembly/SOURCE.json create mode 100644 references/frame-compiler/pr65/research/pair-assembly/frame/frame-compiler.json create mode 100644 references/frame-compiler/pr65/research/pair-assembly/frame/frame_verify.py create mode 100644 references/frame-compiler/pr65/research/pair-assembly/pair_graph.py create mode 100644 references/frame-compiler/pr65/research/reordered-rank-pair/README.md create mode 100644 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references/frame-compiler/pr65/scripts/experiments/binary_frame_profile_prepare.py create mode 100644 references/frame-compiler/pr65/scripts/experiments/binary_frame_profiles.cpp create mode 100644 references/frame-compiler/pr65/scripts/experiments/binary_frame_replay.py create mode 100644 references/frame-compiler/pr65/scripts/experiments/rank_pair_compiler.py create mode 100644 references/frame-compiler/pr65/scripts/partial_swap/paired.py create mode 100644 references/frame-compiler/pr65/scripts/partial_swap/shared.py create mode 100644 references/frame-compiler/pr67/LICENSE create mode 100644 references/frame-compiler/pr67/NOTICE create mode 100644 references/frame-compiler/pr67/SOURCE.json create mode 100644 references/frame-compiler/pr67/research/slot-cost-rank-pair/README.md create mode 100644 references/frame-compiler/pr67/research/slot-cost-rank-pair/arithmetic/certificate.json create mode 100644 references/frame-compiler/pr67/research/slot-cost-rank-pair/compiler.py create 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references/frame-compiler/pr68/research/global-anchor-screen/selected_compile.py create mode 100644 research/split-pair/PROOF.md create mode 100644 research/split-pair/README.md create mode 100644 research/split-pair/SOURCE.json create mode 100644 research/split-pair/config-23.json create mode 100644 research/split-pair/config-25.json create mode 100644 research/split-pair/engine-changes.patch create mode 100644 research/split-pair/engine-provenance.json create mode 100644 research/split-pair/parameters.json create mode 100644 scripts/experiments/pin_split_pair_sources.py create mode 100644 scripts/experiments/split_pair_arithmetic.py create mode 100644 scripts/experiments/split_pair_compiler.py create mode 100644 scripts/experiments/split_pair_compose.py create mode 100644 scripts/experiments/split_pair_engine.py create mode 100644 scripts/experiments/split_pair_graph.py create mode 100644 scripts/experiments/verify_split_pair.py create mode 100644 tests/test_split_pair.py create mode 100644 tests/test_split_pair_pending.py diff --git a/Makefile b/Makefile index 84fe8290f3..1bd0bb83a6 100644 --- a/Makefile +++ b/Makefile @@ -428,3 +428,10 @@ pair-assembly-verify: pair-assembly-producer pair-assembly-check .PHONY: verify-pair verify-pair: pair-assembly-verify python3 scripts/audit_pair_candidate.py --check docs/research/community-pair-arithmetic.json + +.PHONY: split-pair-verify +split-pair-verify: + python3 scripts/experiments/verify_split_pair.py + python3 -m unittest discover -s tests -p 'test_split_pair*.py' -v + +verify-joint: split-pair-verify diff --git a/NOTICE b/NOTICE index b565637758..8adab44ba3 100644 --- a/NOTICE +++ b/NOTICE @@ -302,3 +302,23 @@ inherited PR #48 sources. The stacked witness in research/pair-assembly/frame uses eumemic's PR #57 joint frame compiler unchanged; its driver and verifier are adaptations of PR #57's skip_frame_compiler.py, skip_frame_compose.py and verify_skip_frame.py. Original notices are retained. + +Aligned split-pair composition (2026-10-08) +------------------------------------------ +Avi Eisenberg: PR62 interval strips and core-aware pair assembly. Dominik +Scholz with OpenAI assistance: PR63 ranked-frame composition and PR68 pending +live-carrier controls. Rohan Arun with OpenAI assistance: PR65 region schedules +and refined exact arithmetic, and PR67 all-rank profile-cost selection and +its profile oracle. Rohan Garg / rohangar1 +with substantial OpenAI Codex assistance: PR59 split-pair operation. Eumemic +with substantial OpenAI Codex assistance: PR57 joint reversible compiler and +independent physical-word/profile checks. Chafik Boukhalfa with OpenAI Codex +assistance: PR60 ranked reclamation and this selected [1,1,2] split vector, +aligned common-point permutation, next-use profile score, composition and +certification package. +The complete PR65 baseline words, profiles and arithmetic, plus 43 original +source/provenance files, are preserved under references/frame-compiler/pr65. +The original PR59 split operation and notices are separately preserved. +PR67's compiler/oracle and baseline profile, and PR68's compiler/driver/proof, +retain their original bytes, licenses and notices in their own archives. +All previous notices and mathematical dependencies remain applicable. diff --git a/README.md b/README.md index 035c259b68..4a9b481aa3 100644 --- a/README.md +++ b/README.md @@ -21,6 +21,27 @@ speedup. The model and general reduction are inherited from OpenAI's [Selected parameter certificate](research/matrix-exponent-synthesis/candidate/arithmetic.json) · [Independent arithmetic check](docs/research/community-pair-arithmetic.json) +## Additional conditional construction: anchored split frames with live reclamation + +The [split-pair proof and reproduction guide](research/split-pair/README.md) +gives **κ=51414646104039/10^18=5.1414646104039e-5**, approximately +**0.7463402960%** above the complete pinned PR67 witness. It combines +the PR62/63 interval pair graph, the PR59 split operation, PR65's schedules +and exact arithmetic, PR67's profile-cost selection, and PR68's pending live +controls on the PR60/57 reversible frame compiler. +The new selection uses split vector `[1,1,2]` and aligns the first intact +global pair across common-point permutations. A new integer score uses each +live control's known next-use frame. Actual roles are R23=27455 +and R25=36015, with W=135075665. + +`make split-pair-verify` regenerates the words, checks arbitrary dirty scratch +and actual fixed-I+J profiles, and certifies the complete recursive child +list and strict assembly inequalities. This separately submitted finite +conditional witness retains the inherited all-size hypotheses. Its namespace, +sources and comparison remain distinct from the maintainer-reviewed statement +above. Prepared by Chafik Boukhalfa with OpenAI Codex assistance; contributor +credits and original notices are retained in the package. + ## What changed **Avi Eisenberg's interval strips and core-aware pair assembly (#62)** arrange diff --git a/certificates/joint-dual-kappa.json b/certificates/joint-dual-kappa.json index d92f653fe4..f5a3e12f67 100644 --- a/certificates/joint-dual-kappa.json +++ b/certificates/joint-dual-kappa.json @@ -842,7 +842,7 @@ "scripts/experiments/pin_joint_dual_sources.py": "4d31cc0e38b7902709ca5f8f714cba109760d2592346dd7f8dc0b900a2d9fe00", "scripts/experiments/verify_joint_dual.py": "7a31bba1e9c0ded32ae285df2ca9bc91ef20c330f6789fdba361876f3c7a1985" }, - "source_manifest_sha256": "fd1aab7d75753b4b55b2377f26119dae74f367b0b4fab66cba42d944b3042cc9", + "source_manifest_sha256": "5cd14064a00c82909f76f63fe7f06d23058b6157b00e6402e9a535324592b543", "sources": [ { "files": { diff --git a/certificates/joint-dual-validation.json b/certificates/joint-dual-validation.json index 99adb4cf74..d9968e2a36 100644 --- a/certificates/joint-dual-validation.json +++ b/certificates/joint-dual-validation.json @@ -226,7 +226,7 @@ } }, "bit_saving": "2382370177/50000000000000", - "certificate_sha256": "2ed658f05365b28825e24a6e7bac9fc9cc015d5a5d63d9579f4ac6e0640ae559", + "certificate_sha256": "1f8dc14c3f2e2420c39e2d77ad307f100fd2d5ef60771c30f2a9ecf3f55cf3fd", "kappa": "4764513337/100000000000000", "margins": 7, "producer_words_regenerated_and_matched": true, diff --git a/certificates/split-pair-compiler.json b/certificates/split-pair-compiler.json new file mode 100644 index 0000000000..e74fb90ba1 --- /dev/null +++ b/certificates/split-pair-compiler.json @@ -0,0 +1,345 @@ +{ + "axes": { + "23": { + "compiled": { + "all_physical_frame_inclusions": true, + "baseline_pr48_roles": 36432, + "baseline_pr65_roles": 27918, + "complete_dirty_basis_both_orientations": true, + "dirty_basis_vectors": 30997, + "elementary_xors": 162103, + "graph_configuration": { + "anchor": true, + 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These files document the adapted grouping operation; they are not imported by this producer. Actual imported source closure is PR65 plus shared PR48." + } + }, + "status": "Finite conditional physical witness and exact balanced assembly; inherited transfer hypotheses remain assumed" +} diff --git a/certificates/split-pair-profiles-23.json b/certificates/split-pair-profiles-23.json new file mode 100644 index 0000000000..bf40dc76b4 --- /dev/null +++ b/certificates/split-pair-profiles-23.json @@ -0,0 +1 @@ +{"h":23,"v":1771,"R":27455,"loss":506,"rank_sum":631971,"field_prime":2305843009213693951,"frames":59803,"distinct_matrices":38745,"crt_matrices":5750,"crt_disagreements":0,"blocks":[0,357148,21253,8022,5466,4156,3835,3250,2612,2109,1750,1529,1008,863,555,461,234,149,40,9,0,23,0,0]} diff --git a/certificates/split-pair-profiles-25.json b/certificates/split-pair-profiles-25.json new file mode 100644 index 0000000000..2f4bb6b9e9 --- /dev/null +++ b/certificates/split-pair-profiles-25.json @@ -0,0 +1 @@ +{"h":25,"v":2300,"R":36015,"loss":600,"rank_sum":900975,"field_prime":2305843009213693951,"frames":84845,"distinct_matrices":52075,"crt_matrices":7444,"crt_disagreements":0,"blocks":[0,492698,27869,10467,7897,5674,5027,4110,3809,3047,2490,2047,1814,1443,1151,898,567,470,271,163,47,13,0,25,0,0]} diff --git a/certificates/split-pair-repository-validation.json b/certificates/split-pair-repository-validation.json new file mode 100644 index 0000000000..5d54439696 --- /dev/null +++ b/certificates/split-pair-repository-validation.json @@ -0,0 +1,20 @@ +{ + "base_commit": "fc74109a6978cb1849547e0dcb9d9df995ddaac5", + "construction": "Anchored split frames with profile-cost pending live reclamation", + "focused_verification": { + "certificate_sha256": "0fcb53fa374273efab6370953c966e8fa065dbfdba43691843a4788cb2cda42e", + "command": "make -j1 split-pair-verify", + "completed_at": "2026-10-08T19:06:05.451986+00:00", + "exit_code": 0, + "full_repository": "PENDING", + 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