Finite bit construction: compose R439 A/B/star D to 10,652 ADDs

research/r439-abc-star-composition/BASE-SELECTION.json

@@ -0,0 +1,194 @@
+{
+  "status": "Maintainer-reviewed conditional finite construction; see the integration receipt for publication and PR resolution status",
+  "kappa": "1672188119205421/1000000000000000000",
+  "decimal": "0.001672188119205421",
+  "source_prs": [
+    1042,
+    1031,
+    1028,
+    1022,
+    1018,
+    1005,
+    1004,
+    987,
+    942,
+    890,
+    870,
+    869,
+    858,
+    799,
+    741,
+    699,
+    685,
+    676,
+    664,
+    660,
+    659,
+    656,
+    655,
+    653,
+    658,
+    649,
+    645,
+    635,
+    589,
+    555,
+    545,
+    626,
+    623,
+    622,
+    620,
+    617,
+    615,
+    604,
+    601,
+    596,
+    592,
+    591,
+    593,
+    599,
+    588,
+    543,
+    584,
+    586,
+    583,
+    582,
+    579,
+    576,
+    575,
+    574,
+    571,
+    569,
+    568,
+    567,
+    564,
+    562,
+    561,
+    559,
+    558,
+    552,
+    550,
+    548,
+    541,
+    535,
+    510,
+    503,
+    531,
+    523,
+    493,
+    514,
+    507,
+    484,
+    496,
+    505,
+    522,
+    520,
+    472,
+    458,
+    445,
+    442,
+    425,
+    433,
+    370,
+    361,
+    315
+  ],
+  "source_manifest": "research/community-frontier1042-audit/SELECTED-SOURCE.json",
+  "certificate": "research/community-frontier1042-audit/ASSEMBLY.json",
+  "certificate_sha256": "093f35445812ea96fe1bfe6a3af7d769cb7f274e08f4fb30f71a17ed1161e54e",
+  "proof": "docs/research/community-batch1047-review.md",
+  "proof_supplements": {
+    "research/e8-bit-r420/README.md": "9807be57c6adf26b30e4f54e2f8160075bbc05091f1a6d157e43d2a4620c1c9f",
+    "research/complex-571-free4fc8/NOTICE.md": "a4c084abdc1c7a9ac683eeb11124335d51cff8a6deba6ee92ba5a12bceaa2c97",
+    "research/complex-multicold/proof/CONSTRUCTION.md": "27ece5e1c11b90d97a808b56eff897b998c10e61016db95867f84e6e6aef132f",
+    "research/complex-multicold/vendor/pr559/PROOF.md": "d5d498edc56fdef8c5798af7f5ec66948bd2f66c553b9efe366cdaab01bd3453",
+    "research/structural-gain/frontier-composition/README.md": "70f0f791cbe3b2603f85d85bb9055aa0ee1df6dc06ba82fc1921356948312887",
+    "research/complex-joint-prefix/proof/CONSTRUCTION.md": "a92e610e7a598d99c612d1b63d1a03a49c0cd1e15ddd29fa55c465ddd8c18105",
+    "research/kernel-frame-coalescing/PROOF.md": "fa8b2f36b9590ee80ff45d3f7724f8c7de8ad29a29f366d5133010c77e41fe1b",
+    "research/complex-571-hpeq5/README.md": "4000b37f6c07c09d971dc4010ceb137c13340f3a8809d3272046ccaf746c3e2b",
+    "research/hyperplane-end-lean/PROOF.md": "1cbce5cf0ff0152f71e8ae7bef25841d1ce13010af248ff7209182d2328c21c9",
+    "docs/research/community-hyperplane599-review.md": "3298cd0d451541508af232cac72efbd7c10580e6c6ad493a855ab0faa01ade8c",
+    "research/complex-571-cold14-b3/README.md": "1945785785c153c7d0e8d4c071adabe626c1091b71721ff85d2d67191b376b96",
+    "research/complex-571-cold14-b3/PROOF-NOTE.md": "1cf592cbc8ab8e21d2dd8c1e945a5c64c6d5cde1216fb06e05a36c1c6ec6613d",
+    "scripts/verify_cold617_interface.py": "95d7a9094c05ad975fb72f5ab7605593003245a503c8456764987e512028fa6a",
+    "docs/research/community-cold617-review.md": "b3f2bcbae1249f1f651032022ce1e6e2bfb3f563ce580bf53671f50a074d7046",
+    "research/complex-k492-owner-repair/README.md": "ee5a1ace4828f7a073be97e95c2d931988774dd3a29a877e65abdf429aeec902",
+    "research/complex-k492-owner-repair/PROOF-NOTE.md": "337d70fe7abd9afca1d90954c23bde87f4dc27888cc1a6b4bb80506fd6fbf8c5",
+    "research/complex-k492-owner-repair/PROOF-NOTE-R.md": "22312bb347bdf159e6a01a45c47675e6170d33b258e2fd9ed52aee88fb92c0ed",
+    "docs/research/community-k492-review.md": "3b731d30e80010b15408a289b0b32192700885474c8b36d48ee3320a7a8c5c47",
+    "scripts/verify_frontier626.py": "2207bd0ef04a19ef276869085afdedad80a0938fa75db5e1aa7ab73fd3429444",
+    "scripts/verify_frontier626_bindings.py": "cda63ff41c6d6e2e352c7bf75b84e690c0ce57e4ec6c0355573bb5d9b1f98280",
+    "scripts/verify_frontier588_bindings.py": "6d1932eea7b1936598118ea8e607b09c29b6e31b749ec41bbe0744ea4f0b606d",
+    "scripts/verify_hpe_lean_binding.py": "52aa1d23641e4c716b43c98f6b883ad042087dd03a9d01369e8e6a735b07aa03",
+    "research/hyperplane-end-lean/HyperplaneEnd/Exact.lean": "eebf3a3982af7ab9be45777b272a6aaa523206fa7667ceb6df63ad6589fd8183",
+    "docs/research/community-frontier741-review.md": "4634694fa75ea9e749ecf19d3db3e4d82effe3b61a2efdf08ac5a97275fb676a",
+    "research/complex-sw4-frame8/PROVENANCE.md": "c7648719b01dd93af2c3a2c6e951a54711d13892dc4bd4339d16edb4c37c9bf0",
+    "research/e8-bit-p111-tuned/tune/README.md": "46c7917fb252949f38b7bcd88cf568efc282e3ea065b61d11e457e41673d0b2d",
+    "scripts/verify_frontier741.py": "215ee6a12de8dc2392e6811a1b8f2140035f6b2d2a0d2100ff4bd2fdcb8bb39b",
+    "scripts/verify_frontier741_bindings.py": "eff455167e2fd0bc9a67d35241d0e69d8edc58f3a23e776dcfe8f500ca8e8d67",
+    "docs/research/community-frontier799-review.md": "bd91c10c67f2a873fd456b95cbb43f715a43dac0e0a66938737d591c6b754052",
+    "scripts/verify_frontier799.py": "19fe1b32079095160dc00fe2f7df75e0fcbc82cff37f7159b755c8a63bd5ce99",
+    "scripts/verify_frontier799_bindings.py": "43897b3c99212d6134870898a1840f32898aa1b3679b299e654901568ad7e19b",
+    "research/gauge44-frames-x/PROOF-NOTE-FRAMES-X4.md": "39c50420ebb6e8813706a49b2cf759f277c4afac9f6780fc0a7ac6a5fb86e036",
+    "docs/research/community-frontier890-review.md": "cd03b7c2c6c09db2cfa89ae40133ae44e1deb6e32ec5ddd23aacecc9c50f2fea",
+    "scripts/verify_frontier890.py": "88ea38dbef62dd7c0dd46e212618520cc89213edddb2032800e5509993958175",
+    "scripts/verify_replay_coverage.py": "babe5941d7e6dac4248613ef01f950ee7bb6199e7355021aea4cf854fd1b91c5",
+    "scripts/verify_frontier741_bridge_coverage.py": "9a14f26762b6126eb54ed43db90371773374fe98733ada80ee871a74afa3b836",
+    "certificates/replay-coverage/pr741-sw4-v1.json": "7acd5033bc78e3f473718269edaa267c2785d84fbe95ccf6815a33dcf58c2756",
+    "research/complex-t21-owners/PROOF.md": "78721b32fceb34b21b8e77c95381c38c60276e72e6d9c2e9c6262cb347457def",
+    "research/complex-t21-owner-bound/PROOF.md": "2aa0aa6ec1d87402138564c38749b5ca0f058c16817efdf58a2685d2d90cb417",
+    "research/gauge44-barch/PROOF-NOTE-BARCH.md": "c24f211b09358b25d6cf47dd18e4bbd8bcf4ecf279e6f1c6c90613cfa230818d",
+    "research/complex-double-replica-owners/PROOF.md": "db99599e3966bec253c577c23915e2a2899c4c4e8568044efc11c7918b137bbc",
+    "docs/research/community-batch952-review.md": "04db59dfc2c31453229b6061bbf59547e71ce3abdc0ce0f6779144bb0dde127b",
+    "scripts/verify_frontier942.py": "27c6713532d9f53f55dfff4884d55a2d9ae74b68156e37a44596c0418fbed5b7",
+    "research/complex-t37-owners/PROOF.md": "09b39ad0d5f1f59f54dcff15c16640f7a7acf27e6597660acaf957b95c7e8510",
+    "research/complex-t37-owners/ALL-T-PROOF.md": "4c0c71ccd0afb850538af1b467e5208b7eb3edd0260fded84e02a8c01dfc868b",
+    ".github/workflows/t37-owners.yml": "c13acc2902c007237103072b7ec10caf5ca21c1b319d27934f194af2f7d87026",
+    "docs/research/community-batch1047-review.md": "a6271faf5db0afe3ff7d24a34a3be7a959cdc33ee37784572fba014ee5358787",
+    "scripts/verify_frontier1042.py": "700fdcaeb6e8f57f6e63c71c2dd1652fc5b183e8d706cd092779bdc0d271e854"
+  },
+  "review": "docs/research/community-batch1047-review.md",
+  "validation": "docs/research/community-batch1047-integration.json",
+  "reproduce": "make frontier1042-verify",
+  "scope": "Finite composition under inherited all-size/compiler, common-label/mutable-source, whole-call hosting, precision/tape, analytic and bit H1-H5 assumptions. Not a full Lean multiplication theorem.",
+  "previous_kappa": "1661960547713947/1000000000000000000",
+  "previous_record": "certificates/checkpoints/frontier942.json",
+  "audited_source_head": "7e8ef087c02a77038a28a337a7ee3a77039cac0d",
+  "reviewed_dependency_heads": {
+    "588": "6d0e53b66c29abd17981881a09eaff41ac862d85",
+    "543": "2065fe4f72a914d907f1046603f5a36f17018535",
+    "568": "71c99ac935a33bb7b59a1b4a7af8725a939b0b90",
+    "569": "1424da81263a5305b35e4cf74ef686c275f03f3f",
+    "571": "b7bdc5a8de18fcf418cfb9c7d83a2b1097a5e4a3",
+    "575": "eac6f7e378ab622dac50a2fd4b7ef6eab014de44",
+    "583": "89be768f0157f5a3d8e4db69cf1748768605eac9",
+    "586": "4846fee5b06af770e9b3a10c36200f673d656725",
+    "591": "f622547244bf6d895a571a7b035142ba66279806",
+    "592": "1f471c445c06a45a32e2c47e8d74c8264b68356b",
+    "593": "fdb6dcc6d7bc29764c5b6b4d32b7fa050acf74a4",
+    "596": "7732dd5e46863ff294b5e443661cb9d99abf4e01",
+    "599": "bc13c8a3e000442606bd2dbe8583a17649ba6c32",
+    "601": "529ab7dcb59d5ea7a5798e9e06cf5b3aee8a1550",
+    "604": "1b795c5d7dea746ba310572585c0ef067574b4a6",
+    "615": "bf8a49a34350599763cced8592db81dc62c2c1c0",
+    "617": "904d62855723c00f8acef9a287a10768598fdeb2",
+    "622": "f69477f4f6d3c7eb1f740b166881bffed4ffa9f6",
+    "623": "e39a615ca601ce5d62abeb24f3fcdb8644ca1005",
+    "626": "660de893d27bb7abd1d5b01b1640207528a5c851",
+    "589": "a5afc8c6169ea61ba7c51dfd3cade02cc7b13b46",
+    "741": "e516b1463606840a15f80aac1995d64ce0092e89",
+    "799": "80e6463157cfc80b85af09e7e2f14748fe2dac60",
+    "858": "ae2e25fee91540c83ceee5a60e3b07422ce21c7d",
+    "869": "73e86f69bf9a391e3c334999f7bbe3825dc42759",
+    "870": "b734850dc348800942f0ffd1f0723fdec7539b2b",
+    "890": "4b3bd8cbe8e3e81c44161017c9b72c905a8040a8",
+    "942": "1960cfa919a0945d0ca4cb14ea96237000037903",
+    "1004": "1974578f82a30158dd5fcdcdf226b83df8e7196f",
+    "1005": "779e80aef469bc3a28b19f1adde199871a9a22e3",
+    "1018": "eac7547cb191f875d5f5ea5f9bbb1d2b8c51c4ef",
+    "1022": "58618bcbfe88a252467755fc283c04c3db5ca4fd",
+    "1028": "be4bd89cb4483dcee43257200cd27601f938f13d",
+    "1031": "e900534f0beda892c726723524203b97471fb9a3",
+    "1042": "7e8ef087c02a77038a28a337a7ee3a77039cac0d"
+  }
+}

research/r439-abc-star-composition/CERTIFICATE.json

@@ -0,0 +1,173 @@
+{
+  "bit_order": [
+    "A_from_PR980",
+    "B_from_PR1062",
+    "D_from_PR1062"
+  ],
+  "candidate_mask": 7,
+  "corners": {
+    "0": {
+      "ADDs": 24305,
+      "B": 1113070,
+      "F": 49347,
+      "admitted": true,
+      "local_bits": 93,
+      "local_upper": "9528119495320518471870892800",
+      "nine_bits": 177,
+      "nine_upper": "117742596540718658156527847560864213734191286190080000",
+      "sections": {
+        "A": 2130,
+        "B": 934,
+        "C": 2629,
+        "D": 18085,
+        "scatter": 527
+      },
+      "sha256": "5642fd0e35a1acc11acff8d0c08350c1617e95f310d4d35ad63a651f9eeeba0b"
+    },
+    "1": {
+      "ADDs": 23457,
+      "B": 734894,
+      "F": 39741,
+      "admitted": true,
+      "local_bits": 91,
+      "local_upper": "2169430543563436414251005184",
+      "nine_bits": 173,
+      "nine_upper": "7579362586098503299337647784840281046334606906753024",
+      "sections": {
+        "A": 1706,
+        "B": 934,
+        "C": 2205,
+        "D": 18085,
+        "scatter": 527
+      },
+      "sha256": "eb3a6c4a4696e436c3589d3038976d782595d2785fbc12b38a5f055101e14094"
+    },
+    "2": {
+      "ADDs": 24037,
+      "B": 628338,
+      "F": 16841,
+      "admitted": true,
+      "local_bits": 87,
+      "local_upper": "120689712358592942082836736",
+      "nine_bits": 166,
+      "nine_upper": "55354457979264516602137696273028027286537564585984",
+      "sections": {
+        "A": 2130,
+        "B": 800,
+        "C": 2495,
+        "D": 18085,
+        "scatter": 527
+      },
+      "sha256": "fe72af73656eeaa4208907fcfc41a3bb2ebb11f6417f1ddc73ad12a5451fb468"
+    },
+    "3": {
+      "ADDs": 23189,
+      "B": 338078,
+      "F": 9973,
+      "admitted": true,
+      "local_bits": 83,
+      "local_upper": "7255899389298649606696192",
+      "nine_bits": 158,
+      "nine_upper": "337859907815899833990771378853677191902844157952",
+      "sections": {
+        "A": 1706,
+        "B": 800,
+        "C": 2071,
+        "D": 18085,
+        "scatter": 527
+      },
+      "sha256": "14cf12af1fbb20f8e4cf220f2cb30c9f288e226012abeda7dfe730cfb6fb7a18"
+    },
+    "4": {
+      "ADDs": 11768,
+      "B": 10470774,
+      "F": 79883,
+      "admitted": false,
+      "local_bits": 102,
+      "local_upper": "3576849318364915677794890906368",
+      "nine_bits": 193,
+      "nine_upper": "10250071566696342930038773719808475856064851818022690619392",
+      "sections": {
+        "A": 2130,
+        "B": 934,
+        "C": 2629,
+        "D": 5548,
+        "scatter": 527
+      },
+      "sha256": "3e16aae2dfe6ac3d59bef06b94d96d95d29c92328e54d5bd62ae026ccb07eb1f"
+    },
+    "5": {
+      "ADDs": 10920,
+      "B": 7938516,
+      "F": 65853,
+      "admitted": true,
+      "local_bits": 100,
+      "local_upper": "1151821859173995790402836231168",
+      "nine_bits": 190,
+      "nine_upper": "1289362521029361945472698679437770033840632530837241331712",
+      "sections": {
+        "A": 1706,
+        "B": 934,
+        "C": 2205,
+        "D": 5548,
+        "scatter": 527
+      },
+      "sha256": "d3f218116d7972d30cded4cd82e9d3010537d9a2ad74a1c8bb647cf5429e97a2"
+    },
+    "6": {
+      "ADDs": 11500,
+      "B": 5911840,
+      "F": 25717,
+      "admitted": true,
+      "local_bits": 95,
+      "local_upper": "38044005158586490435359539200",
+      "nine_bits": 182,
+      "nine_upper": "3601903994416905225984905662960686510006596408442880000",
+      "sections": {
+        "A": 2130,
+        "B": 800,
+        "C": 2495,
+        "D": 5548,
+        "scatter": 527
+      },
+      "sha256": "62fc64481911bec4c18643c0c6ac7d31091f09c081a9223096839a7150185be8"
+    },
+    "7": {
+      "ADDs": 10652,
+      "B": 3910388,
+      "F": 15223,
+      "admitted": true,
+      "local_bits": 92,
+      "local_upper": "3452394524099512658714524672",
+      "nine_bits": 176,
+      "nine_upper": "50109557170207398770972615575887331408085730734374912",
+      "sections": {
+        "A": 1706,
+        "B": 800,
+        "C": 2071,
+        "D": 5548,
+        "scatter": 527
+      },
+      "sha256": "7bbaed96041297cd38e89ff48eb055750cfab36609b9fdbeafcec1b2758c1254"
+    }
+  },
+  "format": "r439-abc-star-composition/1",
+  "new_kappa_claim": false,
+  "order": [
+    5,
+    4,
+    7,
+    6,
+    1,
+    0,
+    3,
+    2
+  ],
+  "seed": 13,
+  "sources": {
+    "PR1062": "62fc64481911bec4c18643c0c6ac7d31091f09c081a9223096839a7150185be8",
+    "PR589": "5642fd0e35a1acc11acff8d0c08350c1617e95f310d4d35ad63a651f9eeeba0b",
+    "PR980": "6ad029fc492597ed492e87e449e3fdcfccb27400a66189976db7c7243c81dd2b"
+  },
+  "stopping_rule": "all eight frozen subsets; no search or restart"
+}