From aa7701b68540b7863d3b66a414e4319915d6282d Mon Sep 17 00:00:00 2001 From: DominikScholz Date: Thu, 8 Oct 2026 20:05:07 +0200 Subject: [PATCH 1/4] feat(bounds): compose rank-first reclamation with pair assembly --- .github/workflows/verify.yml | 2 +- Makefile | 38 + NOTICE | 47 + README.md | 29 + certificates/skip-frame-compiler.json | 223 + certificates/skip-frame-kappa.json | 866 + certificates/skip-frame-mechanism-review.json | 63 + certificates/skip-frame-profiles-23.json | 1 + certificates/skip-frame-profiles-25.json | 1 + certificates/skip-frame-reproduction.json | 17 + certificates/skip-frame-transitions-23.json | 35 + certificates/skip-frame-transitions-25.json | 37 + certificates/skip-frame-validation.json | 236 + certificates/skip-frame-word-23.json.gz | Bin 0 -> 1941755 bytes certificates/skip-frame-word-25.json.gz | Bin 0 -> 2603776 bytes references/frame-compiler/pr48/LICENSE | 201 + references/frame-compiler/pr48/NOTICE | 149 + references/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 + references/frame-compiler/pr53/LICENSE | 201 + references/frame-compiler/pr53/NOTICE | 162 + references/frame-compiler/pr53/SOURCE.json | 14 + .../pr53/research/skip-strips/skip_graph.py | 190 + research/pair-assembly/PROOF.md | 221 + research/pair-assembly/SOURCE.json | 147 + research/pair-assembly/audit.py | 85 + research/pair-assembly/balanced_assembly.py | 196 + research/pair-assembly/certificate.json | 17953 ++++++++++++++++ research/pair-assembly/comparison-pr40.json | 37 + research/pair-assembly/comparison-pr41.json | 27 + 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research/skip-strips/profiles.cpp | 107 + .../skip-strips/reversed/geometry-source.json | 15 + research/skip-strips/reversed/geometry.py | 89 + .../reversed/pr34/certify_reversed.py | 116 + .../reversed/pr34/independent_controls.py | 122 + research/skip-strips/scalar-23.json | 12 + research/skip-strips/scalar-25.json | 12 + research/skip-strips/skip_graph.py | 190 + research/skip-strips/timeline-23.json | 64 + research/skip-strips/timeline-25.json | 66 + research/skip-strips/verify.py | 343 + scripts/experiments/binary_frame_compiler.py | 235 + scripts/experiments/binary_frame_math.py | 87 + .../binary_frame_profile_prepare.py | 88 + scripts/experiments/binary_frame_profiles.cpp | 85 + scripts/experiments/binary_frame_replay.py | 50 + scripts/experiments/rank_pair_compiler.py | 240 + scripts/experiments/skip_frame_README.txt | 75 + scripts/experiments/skip_frame_compiler.py | 58 + scripts/experiments/skip_frame_compose.py | 135 + scripts/experiments/verify_skip_frame.py | 63 + tests/test_pair_assembly.py | 215 + tests/test_rank_pair.py | 71 + tests/test_skip_strips.py | 186 + 143 files changed, 73261 insertions(+), 1 deletion(-) create mode 100644 certificates/skip-frame-compiler.json create mode 100644 certificates/skip-frame-kappa.json create mode 100644 certificates/skip-frame-mechanism-review.json create mode 100644 certificates/skip-frame-profiles-23.json create mode 100644 certificates/skip-frame-profiles-25.json create mode 100644 certificates/skip-frame-reproduction.json create mode 100644 certificates/skip-frame-transitions-23.json create mode 100644 certificates/skip-frame-transitions-25.json create mode 100644 certificates/skip-frame-validation.json create mode 100644 certificates/skip-frame-word-23.json.gz create mode 100644 certificates/skip-frame-word-25.json.gz create mode 100644 references/frame-compiler/pr48/LICENSE create mode 100644 references/frame-compiler/pr48/NOTICE create mode 100644 references/frame-compiler/pr48/SOURCE.json create mode 100644 references/frame-compiler/pr48/research/copied-fixed/balanced_assembly.py create mode 100644 references/frame-compiler/pr48/research/copied-fixed/certificate.json create mode 100644 references/frame-compiler/pr48/research/copied-fixed/changed_graph.py create mode 100644 references/frame-compiler/pr48/research/copied-fixed/profiles.cpp create mode 100644 references/frame-compiler/pr48/research/copied-fixed/verify.py create mode 100644 references/frame-compiler/pr48/scripts/exclusion_circuit.py create mode 100644 references/frame-compiler/pr48/scripts/partial_swap/binary_io.hpp create mode 100644 references/frame-compiler/pr48/scripts/partial_swap/paired.py create mode 100644 references/frame-compiler/pr48/scripts/partial_swap/shared.py create mode 100644 references/frame-compiler/pr53/LICENSE create mode 100644 references/frame-compiler/pr53/NOTICE create mode 100644 references/frame-compiler/pr53/SOURCE.json create mode 100644 references/frame-compiler/pr53/research/skip-strips/skip_graph.py create mode 100644 research/pair-assembly/PROOF.md create mode 100644 research/pair-assembly/SOURCE.json create mode 100644 research/pair-assembly/audit.py create mode 100644 research/pair-assembly/balanced_assembly.py create mode 100644 research/pair-assembly/certificate.json create mode 100644 research/pair-assembly/comparison-pr40.json create mode 100644 research/pair-assembly/comparison-pr41.json create mode 100644 research/pair-assembly/comparison-pr42.json create mode 100644 research/pair-assembly/comparison-pr43.json create mode 100644 research/pair-assembly/comparison-pr44.json create mode 100644 research/pair-assembly/comparison-pr46.json create mode 100644 research/pair-assembly/comparison-pr47.json create mode 100644 research/pair-assembly/comparison-pr48.json create mode 100644 research/pair-assembly/comparison-pr53.json create mode 100644 research/pair-assembly/comparison-pr54.json create mode 100644 research/pair-assembly/comparison-pr57.json create mode 100644 research/pair-assembly/data-corners.json create mode 100644 research/pair-assembly/data_corners.cpp create mode 100644 research/pair-assembly/data_recovery.py create mode 100644 research/pair-assembly/frame/frame-certificate.json create mode 100644 research/pair-assembly/frame/frame-compiler.json create mode 100644 research/pair-assembly/frame/frame-profiles-23.json create mode 100644 research/pair-assembly/frame/frame-profiles-25.json create mode 100644 research/pair-assembly/frame/frame-transitions-23.json create mode 100644 research/pair-assembly/frame/frame-transitions-25.json create mode 100644 research/pair-assembly/frame/frame-word-23.json.gz create mode 100644 research/pair-assembly/frame/frame-word-25.json.gz create mode 100644 research/pair-assembly/frame/frame_compile.py create mode 100644 research/pair-assembly/frame/frame_verify.py create mode 100644 research/pair-assembly/links-23.uses create mode 100644 research/pair-assembly/links-25.uses create mode 100644 research/pair-assembly/optimize_matching.py create mode 100644 research/pair-assembly/original-23.json create mode 100644 research/pair-assembly/original-25.json create mode 100644 research/pair-assembly/original_timeline.py create mode 100644 research/pair-assembly/pair_graph.py create mode 100644 research/pair-assembly/producer-receipt.json create mode 100644 research/pair-assembly/producer.py create mode 100644 research/pair-assembly/profiles-23.json create mode 100644 research/pair-assembly/profiles-25.json create mode 100644 research/pair-assembly/profiles.cpp create mode 100644 research/pair-assembly/reversed/geometry-source.json create mode 100644 research/pair-assembly/reversed/geometry.py create mode 100644 research/pair-assembly/reversed/pr34/certify_reversed.py create mode 100644 research/pair-assembly/reversed/pr34/independent_controls.py create mode 100644 research/pair-assembly/scalar-23.json create mode 100644 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create mode 100644 research/skip-strips/audit.py create mode 100644 research/skip-strips/balanced_assembly.py create mode 100644 research/skip-strips/certificate.json create mode 100644 research/skip-strips/comparison-pr40.json create mode 100644 research/skip-strips/comparison-pr41.json create mode 100644 research/skip-strips/comparison-pr42.json create mode 100644 research/skip-strips/comparison-pr43.json create mode 100644 research/skip-strips/comparison-pr44.json create mode 100644 research/skip-strips/comparison-pr46.json create mode 100644 research/skip-strips/comparison-pr47.json create mode 100644 research/skip-strips/comparison-pr48.json create mode 100644 research/skip-strips/data-corners.json create mode 100644 research/skip-strips/data_corners.cpp create mode 100644 research/skip-strips/data_recovery.py create mode 100644 research/skip-strips/links-23.uses create mode 100644 research/skip-strips/links-25.uses create mode 100644 research/skip-strips/optimize_matching.py create mode 100644 research/skip-strips/original-23.json create mode 100644 research/skip-strips/original-25.json create mode 100644 research/skip-strips/original_timeline.py create mode 100644 research/skip-strips/producer-receipt.json create mode 100644 research/skip-strips/producer.py create mode 100644 research/skip-strips/profiles-23.json create mode 100644 research/skip-strips/profiles-25.json create mode 100644 research/skip-strips/profiles.cpp create mode 100644 research/skip-strips/reversed/geometry-source.json create mode 100644 research/skip-strips/reversed/geometry.py create mode 100644 research/skip-strips/reversed/pr34/certify_reversed.py create mode 100644 research/skip-strips/reversed/pr34/independent_controls.py create mode 100644 research/skip-strips/scalar-23.json create mode 100644 research/skip-strips/scalar-25.json create mode 100644 research/skip-strips/skip_graph.py create mode 100644 research/skip-strips/timeline-23.json create mode 100644 research/skip-strips/timeline-25.json create mode 100644 research/skip-strips/verify.py create mode 100644 scripts/experiments/binary_frame_compiler.py create mode 100644 scripts/experiments/binary_frame_math.py create mode 100644 scripts/experiments/binary_frame_profile_prepare.py create mode 100644 scripts/experiments/binary_frame_profiles.cpp create mode 100644 scripts/experiments/binary_frame_replay.py create mode 100644 scripts/experiments/rank_pair_compiler.py create mode 100644 scripts/experiments/skip_frame_README.txt create mode 100644 scripts/experiments/skip_frame_compiler.py create mode 100644 scripts/experiments/skip_frame_compose.py create mode 100644 scripts/experiments/verify_skip_frame.py create mode 100644 tests/test_pair_assembly.py create mode 100644 tests/test_rank_pair.py create mode 100644 tests/test_skip_strips.py diff --git a/.github/workflows/verify.yml b/.github/workflows/verify.yml index e85afe14dd..16b919199a 100644 --- a/.github/workflows/verify.yml +++ b/.github/workflows/verify.yml @@ -16,7 +16,7 @@ jobs: fail-fast: false matrix: python-version: ['3.11', '3.13', '3.14'] - group: [community, producers, certificates, ternary, research, tests] + group: [community, producers, certificates, ternary, research, tests, skip-strips, pair-assembly, rank-pair] steps: - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7 with: diff --git a/Makefile b/Makefile index a733e4b348..13f157c400 100644 --- a/Makefile +++ b/Makefile @@ -19,6 +19,9 @@ verify: $(MAKE) verify-ternary $(MAKE) verify-research $(MAKE) verify-tests + $(MAKE) verify-skip-strips + $(MAKE) verify-pair-assembly + $(MAKE) verify-rank-pair verify-community: community-audit-check community-followup-check copied-reversed-producer copied-reversed-check copied-fixed-reversed-producer copied-fixed-reversed-check $(MAKE) copied-fixed-verify @@ -328,3 +331,38 @@ verify-research: python3 scripts/audit_positive_side.py python3 scripts/audit_parity_side.py python3 scripts/audit_prime_subset_limits.py +.PHONY: skip-strips-verify skip-strips-producer skip-strips-check +skip-strips-producer: + python3 research/skip-strips/producer.py + +skip-strips-check: + python3 research/skip-strips/audit.py + python3 research/skip-strips/verify.py --output research/skip-strips/certificate.json + cd research/skip-strips && python3 -m unittest discover -s ../../tests -p 'test_skip_strips.py' -v + +skip-strips-verify: skip-strips-producer skip-strips-check + +.PHONY: skip-frame-verify +skip-frame-verify: + python3 scripts/experiments/verify_skip_frame.py + +.PHONY: pair-assembly-verify pair-assembly-producer pair-assembly-check +pair-assembly-producer: + python3 research/pair-assembly/producer.py + +pair-assembly-check: + python3 research/pair-assembly/audit.py + python3 research/pair-assembly/verify.py --output research/pair-assembly/certificate.json + python3 research/pair-assembly/frame/frame_verify.py + cd research/pair-assembly && python3 -m unittest discover -s ../../tests -p 'test_pair_assembly.py' -v + +pair-assembly-verify: pair-assembly-producer pair-assembly-check + +.PHONY: verify-skip-strips verify-pair-assembly verify-rank-pair rank-pair-verify +verify-skip-strips: skip-strips-verify +verify-pair-assembly: pair-assembly-verify +verify-rank-pair: rank-pair-verify +rank-pair-verify: + python3 research/rank-pair/frame_compile.py + python3 research/rank-pair/screen.py + python3 -m unittest discover -s tests -p 'test_rank_pair.py' -v diff --git a/NOTICE b/NOTICE index 3769520e39..1a1c498b39 100644 --- a/NOTICE +++ b/NOTICE @@ -203,3 +203,50 @@ Ryan S / princezuda contributes historical Lean certificate arithmetic, algebrai frame/movement/guard lemmas and independent paired-circuit checks (#26). Original source notices and historical snapshots are preserved. Neither formal package claims a full formal proof of the multiplication algorithm or a new kappa. + +Skip-prefix strip producer, 8 October 2026 +By Avi Eisenberg (ikeboy), with Anthropic Claude (Claude Opus 5.5) +assistance. The skip-prefix leave-one-out strip layout in +research/skip-strips/skip_graph.py is new. Everything else reuses Chafik +Boukhalfa's PR #43/#46/#48 research/copied-fixed pipeline, its verification +code, exact data recovery and support-order sorting, together with: +- Rohan Arun's PR #44 weighted carrier matching optimizer; +- RaD (hipotures) PR #41 alternating point order; +- every predecessor credited above. +Complete attribution and the conditional proof boundary are recorded in +research/skip-strips/PROOF.md. Original Apache-2.0 and CC0 notices remain +applicable. + +Joint frame compilation of skip-prefix strips + +The local compiler and exact finite witnesses were prepared by eumemic with +substantial OpenAI Codex assistance. Avi Eisenberg / ikeboy with Anthropic +Claude assistance supplied the unmodified PR #53 skip-prefix producer. +The pinned PR #48 pipeline is Chafik Boukhalfa's contribution, incorporating +Rohan Arun, RaD / hipotures, icekylinx, Dominik Scholz, James Chang, +Zhihao Chen, Aurel Prosz / Paureel, Swapnil Jain, eumemic, Douglas Colkitt, +OpenAI, David Harvey, Joris van der Hoeven and the earlier contributors +credited in the retained sources. See references/frame-compiler/pr48/NOTICE +and references/frame-compiler/pr53/NOTICE for their original attribution. +No authorship or review by those predecessors is claimed for this compiler. + +Interval strips and core-aware pair assembly + +The interval leave-one-out strips and the core-aware group-pair assembly in +research/pair-assembly were prepared by Avi Eisenberg / ikeboy with Anthropic +Claude assistance. They build on PR #53's skip-prefix pipeline and its +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. + +Rank-first reclamation on interval-strip pair assembly, 8 October 2026 +Composition and exact profile witness: Dominik Scholz, with substantial OpenAI +GPT-6 Astra / Codex assistance. The PR #60 descending-frame-rank compiler by +Chafik Boukhalfa is reused unchanged on Avi Eisenberg's PR #62 scalar graph. +The joint frame compiler and paid reclamation are eumemic's PR #57, developed +with OpenAI Codex assistance. PR #62 records Anthropic Claude assistance. +This composition improves actual fixed-basis block profiles with unchanged +role counts; no new slot-priority rule or scalar graph is claimed. All prior +contributors, licenses, compiler arguments and conditional analytic/tape +interfaces remain credited. See research/rank-pair/PROOF.md. diff --git a/README.md b/README.md index 9e01040cbb..ea95e64646 100644 --- a/README.md +++ b/README.md @@ -1,3 +1,32 @@ +# Rank-first pair assembly: conditional saving 5.102757e-5 + +This branch proposes **κ = 5102757/10^11 > 2^-15** by applying +[Chafik Boukhalfa's PR #60](https://github.com/CrocSwap/integer-mult-bounds/pull/60) +rank-first reclamation to +[Avi Eisenberg's PR #62](https://github.com/CrocSwap/integer-mult-bounds/pull/62) +interval-strip pair graph with eumemic's PR #57 joint frame compiler. +The physical wire count remains **137,151,806**; changed frame transitions +improve the actual fixed-basis child profile. The bit saving is +**5103018/10^11**. This is above #61's pinned parameter refinement +`25508460085039/500000000000000000` at `afb7cb67`. + +[Proof, scope and source credits](research/rank-pair/PROOF.md) · +[Exact candidate certificate](research/rank-pair/screen-certificate.json) + +Run `make rank-pair-verify` for regenerated words, independent dirty-state +replay, fixed profiles and exact inequalities. `make pair-assembly-verify` +checks the underlying scalar and data construction; `make verify` retains +main's existing verification and includes the new targets. + +This proposed witness is conditional on the inherited multiplication, +all-size compiler, analytic and fixed-tape interfaces. Finite checks do not +formally verify the full theorem, establish global optimality, or measure a +practical speedup. The reviewed main-branch result below remains separately +identified; its maintainer review does not cover this new increment. + +Composition prepared by Dominik Scholz with substantial OpenAI GPT-6 Astra / +Codex assistance. All source-specific contributor notices are retained. + # A sharper exponent for integer multiplication **Community research maintained by Douglas Colkitt — conditional on the original diff --git a/certificates/skip-frame-compiler.json b/certificates/skip-frame-compiler.json new file mode 100644 index 0000000000..21a8212d5d --- /dev/null +++ b/certificates/skip-frame-compiler.json @@ -0,0 +1,223 @@ +{ + "axes": { + "23": { + "compiled": { + "all_physical_frame_inclusions": true, + "baseline_pr48_roles": 36432, + "baseline_pr53_roles": 32946, + "complete_dirty_basis_both_orientations": true, + "dirty_basis_vectors": 34958, + "elementary_xors": 111687, + "h": 23, + "histogram": { + "0": 224441, + "1": 41963, + "10": 3066, + "11": 199, + "12": 2842, + "13": 182, + "14": 3698, + "15": 693, + "16": 2028, + "17": 464, + "18": 8238, + "19": 4308, + "2": 37406, + "21": 28, + "22": 23, + "3": 6490, + "4": 17479, + "5": 8001, + "6": 4554, + "7": 1783, + "8": 3533, + "9": 643 + }, + "mode": { + "matching": true, + "reclaim": true + }, + "rank_mass": 723074, + "roles": 31416, + "scalar": { + "additions": 40329, + "all_additions_disjoint": true, + "all_partial_outputs_exact": true, + "circuit_sha256": "0e309c2023b2832f82badf010649417acfa0cf423b3137c25babf0d7746eb32c", + "every_node_has_common_point": true, + "h": 23, + "inputs": 1771, + "merged_additions": 5379, + "partial_outputs": 5336, + "roles": 45665 + }, + "source_pr53_head": "3ffd4021995c959ac02d12920e0279ae97dd03c7", + "stats": { + "augmentations": 165, + "clearing_xors": 3184, + "matched": 12029, + "multi_node_regions": 4324, + "reclaimed": 1530, + "regions": 36626 + }, + "word_path": "/private/tmp/frame-pr53-compiler/word23.json.gz", + "word_sha256": "15c6ed702033d3bc55c17bee42bbaf7ed45245c3cf1ea14e9eedd225f8af9823" + }, + "gzip_sha256": "15c6ed702033d3bc55c17bee42bbaf7ed45245c3cf1ea14e9eedd225f8af9823", + "replay": { + "elementary_xors": 111687, + "full_basis_vectors": 34958, + "h": 23, + "histogram": { + "0": 119612, + "1": 41963, + "10": 3066, + "11": 199, + "12": 2842, + "13": 182, + "14": 3698, + "15": 693, + "16": 2028, + "17": 464, + "18": 8238, + "19": 4308, + "2": 37406, + "21": 28, + "22": 23, + "3": 6490, + "4": 17479, + "5": 8001, + "6": 4554, + "7": 1783, + "8": 3533, + "9": 643 + }, + "output_roles": 5336, + "rank_mass": 723074, + "roles": 31416, + "status": "independent serialized word, exact frames, full input and dirty basis both orientations PASS", + "word_length": 471542 + }, + "word_sha256": "1e1160caecbdfbb75961bf7a88a53189217840262c6bb724248c38f2b8f4c61a" + }, + "25": { + "compiled": { + "all_physical_frame_inclusions": true, + "baseline_pr48_roles": 48329, + "baseline_pr53_roles": 43409, + "complete_dirty_basis_both_orientations": true, + "dirty_basis_vectors": 45864, + "elementary_xors": 148996, + "h": 25, + "histogram": { + "0": 298212, + "1": 54790, + "10": 3160, + "11": 356, + "12": 3951, + "13": 336, + "14": 2971, + "15": 155, + "16": 4523, + "17": 1151, + "18": 2722, + "19": 267, + "2": 49085, + "20": 10833, + "21": 5514, + "23": 36, + "24": 25, + "3": 8302, + "4": 24492, + "5": 10155, + "6": 4451, + "7": 2776, + "8": 5261, + "9": 696 + }, + "mode": { + "matching": true, + "reclaim": true + }, + "rank_mass": 1032200, + "roles": 41264, + "scalar": { + "additions": 53475, + "all_additions_disjoint": true, + "all_partial_outputs_exact": true, + "circuit_sha256": "52eca99391ab5b7cf85ee80e20846570cfc7b8812e2949990f4f081d6c67bfd4", + "every_node_has_common_point": true, + "h": 25, + "inputs": 2300, + "merged_additions": 7008, + "partial_outputs": 6925, + "roles": 60400 + }, + "source_pr53_head": "3ffd4021995c959ac02d12920e0279ae97dd03c7", + "stats": { + "augmentations": 231, + "clearing_xors": 5425, + "matched": 16341, + "multi_node_regions": 5875, + "reclaimed": 2145, + "regions": 48675 + }, + "word_path": "/private/tmp/frame-pr53-compiler/word25.json.gz", + "word_sha256": "cd60a7721d09dd76ed4abd5d003f28f72fb27c2b055f73fc02bc3f6d2e51705c" + }, + "gzip_sha256": "cd60a7721d09dd76ed4abd5d003f28f72fb27c2b055f73fc02bc3f6d2e51705c", + "replay": { + "elementary_xors": 148996, + "full_basis_vectors": 45864, + "h": 25, + "histogram": { + "0": 159398, + "1": 54790, + "10": 3160, + "11": 356, + "12": 3951, + "13": 336, + "14": 2971, + "15": 155, + "16": 4523, + "17": 1151, + "18": 2722, + "19": 267, + "2": 49085, + "20": 10833, + "21": 5514, + "23": 36, + "24": 25, + "3": 8302, + "4": 24492, + "5": 10155, + "6": 4451, + "7": 2776, + "8": 5261, + "9": 696 + }, + "output_roles": 6925, + "rank_mass": 1032200, + "roles": 41264, + "status": "independent serialized word, exact frames, full input and dirty basis both orientations PASS", + "word_length": 628184 + }, + "word_sha256": "206f27211025bea997f8c546b0e1dd40675e0d8d77febf65040554ac1b1ba900" + } + }, + "source": { + "attribution": "Avi Eisenberg / ikeboy with Anthropic Claude assistance: skip-prefix layout; inherited authors retained in NOTICE and source headers. Local joint frame synthesis uses OpenAI Codex assistance.", + "files": { + "LICENSE": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4", + "NOTICE": "40a3066696e0de23e46b565460d19e85b435990ba837da5c1ca925335f4ba829", + "research/skip-strips/skip_graph.py": "03ee019cdaf73391455aaf4f5dcb4873f4fdcb278179b296c02ea39eafd047e4" + }, + "head": "3ffd4021995c959ac02d12920e0279ae97dd03c7", + "repository": "ikeboy/integer-mult-bounds", + "scope": "Unmodified skip-prefix graph and attribution; shared circuit code and analytic/data interfaces are the byte-identical pinned PR48 sources in ../pr48.", + "shared_dependency_manifest": "../pr48/SOURCE.json", + "shared_dependency_manifest_sha256": "6ccc673f88d3650d75ed600b082fe2fc2866dd88a172d182a38c1d0cd27d24b3", + "source_pr": "https://github.com/CrocSwap/integer-mult-bounds/pull/53" + }, + "status": "Exact finite scalar/frame word; full recursive profiles and assembly separate" +} diff --git a/certificates/skip-frame-kappa.json 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"attribution": "Avi Eisenberg / ikeboy with Anthropic Claude assistance: skip-prefix layout; inherited authors retained in NOTICE and source headers. Local joint frame synthesis uses OpenAI Codex assistance.", + "files": { + "LICENSE": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4", + "NOTICE": "40a3066696e0de23e46b565460d19e85b435990ba837da5c1ca925335f4ba829", + "research/skip-strips/skip_graph.py": "03ee019cdaf73391455aaf4f5dcb4873f4fdcb278179b296c02ea39eafd047e4" + }, + "head": "3ffd4021995c959ac02d12920e0279ae97dd03c7", + "repository": "ikeboy/integer-mult-bounds", + "scope": "Unmodified skip-prefix graph and attribution; shared circuit code and analytic/data interfaces are the byte-identical pinned PR48 sources in ../pr48.", + "shared_dependency_manifest": "../pr48/SOURCE.json", + "shared_dependency_manifest_sha256": "6ccc673f88d3650d75ed600b082fe2fc2866dd88a172d182a38c1d0cd27d24b3", + "source_pr": "https://github.com/CrocSwap/integer-mult-bounds/pull/53" + } + ], + "status": "Conditional exact fixed-basis moment and balanced assembly; inherited transfer hypotheses remain assumed" +} diff --git a/certificates/skip-frame-mechanism-review.json b/certificates/skip-frame-mechanism-review.json new file mode 100644 index 0000000000..49b2b5b95b --- /dev/null +++ b/certificates/skip-frame-mechanism-review.json @@ -0,0 +1,63 @@ +{ + "status": "No finite-mechanism blocker found in source review of pinned PR53 combination", + "source_pr53_head": "3ffd4021995c959ac02d12920e0279ae97dd03c7", + "compiler_sha256": "bc6910c8bbe8224285164323d3c06e9035ad3eaa55416abc2867ae0066454a0c", + "word_sha256": { + "23": "15c6ed702033d3bc55c17bee42bbaf7ed45245c3cf1ea14e9eedd225f8af9823", + "25": "cd60a7721d09dd76ed4abd5d003f28f72fb27c2b055f73fc02bc3f6d2e51705c" + }, + "findings": [ + { + "area": "Region causality", + "finding": "Original edges nest core/cover envelopes. A strict change increases dimension; equal envelopes are merged. Rank/min-node order therefore respects the quotient DAG, and local node order preserves each region calculation. PR53 changes this DAG only; its scalar hash and the unchanged inherited producer modules were checked." + }, + { + "area": "Whole-region reversible map", + "finding": "Incoming deliveries occupy distinct physical roles. Independent demanded output rows, independent preserved input unit rows and unit-vector completion form an invertible square matrix on ALL incoming dirty coordinates. Reverse Gaussian row operations synthesize that literal matrix. Dependent demanded signals are computed into fresh or signal-cleared distinct roles, never by identifying occupied outputs." + }, + { + "area": "Continuation matching", + "finding": "Each recipient use is unique, each selected preserved row is independent modulo the output row space, and every continuation has a strictly later group and containing frame. Compilation asserts distinct simultaneous input roles and exact arriving signals. Matching optimality is not needed for validity and is not certified by this audit." + }, + { + "area": "Signal clearing and dirty restoration", + "finding": "Reclamation clears only the input-dependent component of a retired role using a fixed invertible sequence of XORs. Arbitrary old dirty components remain linear noise. With mixer L, injection V and read-only scatter J, JLV=I; L,J,L^-1,V,L,J,L^-1,V cancels JLz and restores every auxiliary for arbitrary initial z. Full previously completed forward and reverse-complement basis replays cover this distinction." + }, + { + "area": "Frames and terminal contract", + "finding": "All block/XOR participants meet at one original envelope. Retired clearing anchors are used only when their current frames lie in it; live output anchors are already there. Every role moves monotonically until its charged terminal/copy actions. Original envelopes are positive inside a common-point Ui; dual complements remain nondegenerate. Designated outputs remain distinct terminal roles, so copied centers and existing invocation endpoints apply unchanged." + }, + { + "area": "Cost accounting", + "finding": "Every allocated role exits, yielding copied local mass hR+h(h-1). Extra clearing XORs remain present in the literal word. The profiler independently reconstructs positive frame transitions from that word, compares against event records, charges copied-center and side endpoint costs, and separately certifies fixed I+J profiles. No positive transition is justified by role counts alone." + } + ], + "zero_rank_bookkeeping": { + "explanation": "Compiler emits a prealignment when each new scratch role is allocated and when each block input is gathered, then emits XOR incidence checks too. Replay initializes primary sources and visits actual XOR/output incidences only. Omitted duplicate incidences are identity frame changes: zero rank, no recursive child. All strictly positive buckets agree; profile preparation also requires the identical nonidentity transition multiset reconstructed from the XOR word. Zero-rank address bookkeeping does not remove actual scalar XORs from the program.", + "rows": [ + { + "h": 23, + "compiler_zero": 224441, + "replay_zero": 119612, + "extra_bookkeeping_incidents": 104829, + "fresh_role_prealignments": 29645, + "block_input_prealignments": 75184, + "all_positive_buckets_equal": true + }, + { + "h": 25, + "compiler_zero": 298212, + "replay_zero": 159398, + "extra_bookkeeping_incidents": 138814, + "fresh_role_prealignments": 38964, + "block_input_prealignments": 99850, + "all_positive_buckets_equal": true + } + ] + }, + "scope": { + "work_this_review": "Source inspection and lightweight comparison of saved receipts/events only; no repeated full producer, dirty basis, CRT or assembly test.", + "retained_evidence": "Previously passed complete scalar, frame, full dirty-basis both orientations, fixed-profile CRT and exact assembly receipts; parent additionally reports portable verification and byte-identical regeneration.", + "limitations": "Finite mechanism review only. General common-frame compiler/partial-swap transfer, controlled-basis physical interpretation, fixed-tape routing and analytic multiplication framework remain inherited written proof obligations." + } +} diff --git a/certificates/skip-frame-profiles-23.json b/certificates/skip-frame-profiles-23.json new file mode 100644 index 0000000000..f9c392a475 --- /dev/null +++ b/certificates/skip-frame-profiles-23.json @@ -0,0 +1 @@ +{"h":23,"v":1771,"R":31416,"loss":506,"rank_sum":723074,"field_prime":2305843009213693951,"frames":36628,"distinct_matrices":60989,"crt_matrices":6373,"crt_disagreements":0,"blocks":[0,296747,23148,15450,8944,7434,5742,6213,4059,3514,2521,2459,1609,1292,852,559,370,145,55,0,8,23,0,0]} diff --git a/certificates/skip-frame-profiles-25.json b/certificates/skip-frame-profiles-25.json new file mode 100644 index 0000000000..776d70e487 --- /dev/null +++ b/certificates/skip-frame-profiles-25.json @@ -0,0 +1 @@ +{"h":25,"v":2300,"R":41264,"loss":600,"rank_sum":1032200,"field_prime":2305843009213693951,"frames":48677,"distinct_matrices":81960,"crt_matrices":8518,"crt_disagreements":0,"blocks":[0,397490,32075,19149,11001,10196,8228,8271,5415,5322,3959,3942,2552,2192,1649,1303,816,557,398,155,79,0,7,25,0,0]} diff --git a/certificates/skip-frame-reproduction.json b/certificates/skip-frame-reproduction.json new file mode 100644 index 0000000000..d631356463 --- /dev/null +++ b/certificates/skip-frame-reproduction.json @@ -0,0 +1,17 @@ +{ + "axes": { + "23": { + "byte_identical_after_decompression": true, + "command": "python3 scripts/experiments/skip_frame_compiler.py --h 23 --output /tmp/skip23.json --word /tmp/skip23.json.gz", + "word_sha256": "1e1160caecbdfbb75961bf7a88a53189217840262c6bb724248c38f2b8f4c61a" + }, + "25": { + "byte_identical_after_decompression": true, + "command": "python3 scripts/experiments/skip_frame_compiler.py --h 25 --output /tmp/skip25.json --word /tmp/skip25.json.gz", + "word_sha256": "206f27211025bea997f8c546b0e1dd40675e0d8d77febf65040554ac1b1ba900" + } + }, + "compiler_sha256": "8ffd079fd2e4f055b5befefecc5f33e686de9898219e9252f5d3913df8b195d8", + "gzip_note": "Compressed headers may differ with the output filename; complete decompressed words are identical.", + "status": "PASS portable compiler regeneration for both axes" +} diff --git a/certificates/skip-frame-transitions-23.json b/certificates/skip-frame-transitions-23.json new file mode 100644 index 0000000000..140a12dbf5 --- /dev/null +++ b/certificates/skip-frame-transitions-23.json @@ -0,0 +1,35 @@ +{ + "h": 23, + "v": 1771, + "R": 31416, + "frames": 36628, + "distinct_transitions": 117385, + "singles": 15939, + "rank_mass": 723074, + "rank_histogram_with_side_growth_split_into_singletons": { + "1": 52589, + "2": 32093, + "3": 6490, + "4": 17479, + "5": 8001, + "6": 4554, + "7": 1783, + "8": 3533, + "9": 643, + "10": 3066, + "11": 199, + "12": 2842, + "13": 182, + "14": 3698, + "15": 693, + "16": 2028, + "17": 464, + "18": 8238, + "19": 4308, + "21": 28, + "22": 23 + }, + "word_sha256": "1e1160caecbdfbb75961bf7a88a53189217840262c6bb724248c38f2b8f4c61a", + "copied_centers": 23, + "transition_events_equal_independent_xor_word_reconstruction": true +} diff --git a/certificates/skip-frame-transitions-25.json b/certificates/skip-frame-transitions-25.json new file mode 100644 index 0000000000..1f233f963d --- /dev/null +++ b/certificates/skip-frame-transitions-25.json @@ -0,0 +1,37 @@ +{ + "h": 25, + "v": 2300, + "R": 41264, + "frames": 48677, + "distinct_transitions": 155696, + "singles": 20700, + "rank_mass": 1032200, + "rank_histogram_with_side_growth_split_into_singletons": { + "1": 68590, + "2": 42185, + "3": 8302, + "4": 24492, + "5": 10155, + "6": 4451, + "7": 2776, + "8": 5261, + "9": 696, + "10": 3160, + "11": 356, + "12": 3951, + "13": 336, + "14": 2971, + "15": 155, + "16": 4523, + "17": 1151, + "18": 2722, + "19": 267, + "20": 10833, + "21": 5514, + "23": 36, + "24": 25 + }, + "word_sha256": "206f27211025bea997f8c546b0e1dd40675e0d8d77febf65040554ac1b1ba900", + "copied_centers": 25, + "transition_events_equal_independent_xor_word_reconstruction": true +} diff --git a/certificates/skip-frame-validation.json b/certificates/skip-frame-validation.json new file mode 100644 index 0000000000..700f8f3459 --- /dev/null +++ b/certificates/skip-frame-validation.json @@ -0,0 +1,236 @@ +{ + "axes": { + "23": { + "profile": { + "R": 31416, + "blocks": [ + 0, + 296747, + 23148, + 15450, + 8944, + 7434, + 5742, + 6213, + 4059, + 3514, + 2521, + 2459, + 1609, + 1292, + 852, + 559, + 370, + 145, + 55, + 0, + 8, + 23, + 0, + 0 + ], + "crt_disagreements": 0, + "crt_matrices": 6373, + "distinct_matrices": 60989, + "field_prime": 2305843009213693951, + "frames": 36628, + "h": 23, + "loss": 506, + "rank_sum": 723074, + "v": 1771 + }, + "replay": { + "elementary_xors": 111687, + "full_basis_vectors": 34958, + "h": 23, + "histogram": { + "0": 119612, + "1": 41963, + "2": 37406, + "3": 6490, + "4": 17479, + "5": 8001, + "6": 4554, + "7": 1783, + "8": 3533, + "9": 643, + "10": 3066, + "11": 199, + "12": 2842, + "13": 182, + "14": 3698, + "15": 693, + "16": 2028, + "17": 464, + "18": 8238, + "19": 4308, + "21": 28, + "22": 23 + }, + "output_roles": 5336, + "rank_mass": 723074, + "roles": 31416, + "status": "independent serialized word, exact frames, full input and dirty basis both orientations PASS", + "word_length": 471542 + }, + "transitions": { + "R": 31416, + "copied_centers": 23, + "distinct_transitions": 117385, + "frames": 36628, + "h": 23, + "rank_histogram_with_side_growth_split_into_singletons": { + "1": 52589, + "2": 32093, + "3": 6490, + "4": 17479, + "5": 8001, + "6": 4554, + "7": 1783, + "8": 3533, + "9": 643, + "10": 3066, + "11": 199, + "12": 2842, + "13": 182, + "14": 3698, + "15": 693, + "16": 2028, + "17": 464, + "18": 8238, + "19": 4308, + "21": 28, + "22": 23 + }, + "rank_mass": 723074, + "singles": 15939, + "transition_events_equal_independent_xor_word_reconstruction": true, + "v": 1771, + "word_sha256": "1e1160caecbdfbb75961bf7a88a53189217840262c6bb724248c38f2b8f4c61a" + } + }, + "25": { + "profile": { + "R": 41264, + "blocks": [ + 0, + 397490, + 32075, + 19149, + 11001, + 10196, + 8228, + 8271, + 5415, + 5322, + 3959, + 3942, + 2552, + 2192, + 1649, + 1303, + 816, + 557, + 398, + 155, + 79, + 0, + 7, + 25, + 0, + 0 + ], + "crt_disagreements": 0, + "crt_matrices": 8518, + "distinct_matrices": 81960, + "field_prime": 2305843009213693951, + "frames": 48677, + "h": 25, + "loss": 600, + "rank_sum": 1032200, + "v": 2300 + }, + "replay": { + "elementary_xors": 148996, + "full_basis_vectors": 45864, + "h": 25, + "histogram": { + "0": 159398, + "1": 54790, + "2": 49085, + "3": 8302, + "4": 24492, + "5": 10155, + "6": 4451, + "7": 2776, + "8": 5261, + "9": 696, + "10": 3160, + "11": 356, + "12": 3951, + "13": 336, + "14": 2971, + "15": 155, + "16": 4523, + "17": 1151, + "18": 2722, + "19": 267, + "20": 10833, + "21": 5514, + "23": 36, + "24": 25 + }, + "output_roles": 6925, + "rank_mass": 1032200, + "roles": 41264, + "status": "independent serialized word, exact frames, full input and dirty basis both orientations PASS", + "word_length": 628184 + }, + "transitions": { + "R": 41264, + "copied_centers": 25, + "distinct_transitions": 155696, + "frames": 48677, + "h": 25, + "rank_histogram_with_side_growth_split_into_singletons": { + "1": 68590, + "2": 42185, + "3": 8302, + "4": 24492, + "5": 10155, + "6": 4451, + "7": 2776, + "8": 5261, + "9": 696, + "10": 3160, + "11": 356, + "12": 3951, + "13": 336, + "14": 2971, + "15": 155, + "16": 4523, + "17": 1151, + "18": 2722, + "19": 267, + "20": 10833, + "21": 5514, + "23": 36, + "24": 25 + }, + "rank_mass": 1032200, + "singles": 20700, + "transition_events_equal_independent_xor_word_reconstruction": true, + "v": 2300, + "word_sha256": "206f27211025bea997f8c546b0e1dd40675e0d8d77febf65040554ac1b1ba900" + } + } + }, + "bit_saving": "116741511/2500000000000", + "certificate_sha256": "d6d2ed145539af1acfe95c0df1ceac155fa359d43590ac772cbe1938f92f0092", + "kappa": "4669442391/100000000000000", + "margins": 7, + "scope": "Finite conditional witness; unchanged data geometry and general transfer proofs are inherited dependencies.", + "source_binding": "Source manifests, inherited manifest digest, compiler receipt source, both word digests, and all local compiler/verifier sources are bound by the exact composition certificate.", + "status": "PASS complete serialized-word replay, actual CRT profiles, exact recurrence and balanced assembly", + "strict_constraints": 47 +} diff --git a/certificates/skip-frame-word-23.json.gz b/certificates/skip-frame-word-23.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..6d59a725de413450bf6c1e88b818df1156400637 GIT binary patch literal 1941755 zcmagH30REl`v*=ahg8;xN~f>oaA+qjri2_KTcVC8A{9z1?K6@JQIVxWi)fWZ+G|8L 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