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b/research/legacy-packet-limits/OPTIMIZATION-ENV-VALIDATION.json @@ -0,0 +1,67 @@ +{ + "date": "2026-10-22", + "purpose": "Check the driver after the child-process assertion repair.", + "command": "env PYTHONOPTIMIZE=1 /Users/aliromman/Projects/IntegerMultiplicationBounds/work/autonomous-kappa-run/venv/bin/python -I -B verify.py --work /private/tmp/legacy-packet-opt-env-20261022", + "exit_code": 0, + "result": "PASS_LEGACY_PACKET_LIMITS checks=5", + "wrapper_sha256": "7c2822b9cb07245886196e3e18c50887b89e4cf5a458c3614079bf122b4f23b4", + "source_manifest_sha256": "b92c0ba9a807570f41c9b343eb93a68426fc22ed0a19c95cc4f26657ab96117b", + "checks": [ + { + "check": "packet-joint-basis/run_checks.py", + "exit_code": 0, + "seconds": 74.45475625002291 + }, + { + "check": "productive-joint-research/screen_delayed_injection.py", + "exit_code": 0, + "seconds": 2.2623577089980245 + }, + { + "check": "productive-joint-research/screen_delayed_injection.py", + "exit_code": 0, + "seconds": 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The independent review separately tests child and descendant assertion state. Frozen mathematical sources and inputs are unchanged." +} diff --git a/research/legacy-packet-limits/README.md b/research/legacy-packet-limits/README.md new file mode 100644 index 0000000000..0ac498ba07 --- /dev/null +++ b/research/legacy-packet-limits/README.md @@ -0,0 +1,31 @@ +# Fixed packet-basis and delayed-injection limits + +This package gives two exact negative results for historical packet interfaces. It gives no new supplier or multiplication kappa. + +The joint-basis proof fixes the 16-helper packet factory, twelve second face copies, ordinary late pair deliveries, and the stated early-center carrier model. Every early query must lie in all final output hyperplanes of its connected output component. This common-cap condition is an explicit premise, not a consequence of arbitrary one-time restoration. Exhaustive rational enumeration gives a minimum of 36 helper slots per Hamming block, or 504 over fourteen blocks. The check covers 13,860 four-direction subsets, 8,820 independent bases, and 126 paired center cases. This result does not cover arbitrary rational query directions, a changed factory, or a new late operator. + +The delayed-injection proof fixes the old eight center values, one held copy per center, and each existing B decoder with its actual target frames. It permits each center to choose its cut and delivery order. The minimum-spanning-tree lower bound gives private rank at least 64 and productive extra rank at least 128 for each of the zero-, four-, and eight-cold source words. Each word has 2,438 checked cuts: before B, after a scalar event, and after a full annotated TARGET-frame change before its scalar event. The theorem does not include injection inside an individual frame-transition implementation. The productive bound assumes one distinct productive carrier per center, a free exchange at its original rank-eight frame, and a required FULL9 exit. It subtracts only the old rank-one completion. The bound is an extra canonical rank cost in this favorable relaxation; it does not cover arbitrary productive encodings. The second checker uses reverse propagation, literal subspace point sets, and Kruskal's algorithm; the first uses forward propagation and Prim's algorithm. Split injections, shared carriers, a changed B word, and new source/target operators are outside this result. + +The proofs are `source/packet-joint-basis/PROOF.md` and `source/productive-joint-research/HANDOFF.md`. The second-method claim is algorithmic independence, not independent human review. The source receipts are historical records. Their stored script hash differs from the preserved checker, so they do not bind the current checker. The driver regenerates all forward receipts and checks them with the reverse engine. Fresh script-bound receipts are in `evidence/`; all mathematical fields agree with the historical receipts. Historical unsuccessful R500/R502 constructions and old global budget comparisons are excluded. + +## Sources and credit + +[PR #531](https://github.com/CrocSwap/integer-mult-bounds/pull/531), commit `e07a8a3f9f79c22113398a0c5dbbc7601f489b3e`, supplies the literal packet factory. Its retained notice credits icekylinx and the PR514/507/425/433 ancestry. [PR #569](https://github.com/CrocSwap/integer-mult-bounds/pull/569), commit `1424da81263a5305b35e4cf74ef686c275f03f3f`, supplies the pinned 504-helper reference provider; the retained source credits Dominik Scholz. [PR #564](https://github.com/CrocSwap/integer-mult-bounds/pull/564), commit `c18417b02b80594b2ca1c8c21185d28befafc935`, supplies the construction for the three delayed-injection words and credits eumemic. The frozen words are historical replay outputs, not direct Git source blobs. ROOT-REPLAY.json and the three INDEPENDENT-LOCAL-REPLAY.json files bind that replay and the canonical word hashes. The present driver does not repeat the full PR564 supplier replay. [PR #509](https://github.com/CrocSwap/integer-mult-bounds/pull/509), commit `7b9c720ecc9f483c383e7cd9c2ab81f06ee5df59`, supplies the labelled-stream framework and credits DreamingOfClouds and its predecessors. Exact source records and notices remain in the package, including the PR509 predecessor notice in `vendor/PR509-NOTICE.md`. No new personal identity is inferred from an account name. OpenAI Codex assisted the proofs, checks, and packaging. + +The current-main comparison uses `cef4b52f2a59009865bf8eabde1be3f159063703`. The public fixed-word gauge limits keep a different scalar graph and change translation gauges along its native edges. They do not imply these joint partial-basis or delayed-center-carrier floors. The public fixed packet-factory bounds of 224 helpers, or 392 with second copies, do not include this paired-center inventory. The 315 open PR descriptions fetched on 2026-10-22 contain related changed-controller constructions, but no matching fixed-family theorem was found. No global novelty claim is made. + +## Reproduce + +Use Python 3.10 or later with SymPy and assertions enabled. From this folder: + +```sh +python3 -B verify.py --work /absolute/path/to/a-new-directory +``` + +The last line must be `PASS_LEGACY_PACKET_LIMITS checks=5`. The driver checks frozen input hashes and copies all inputs into the new directory. It runs the joint-basis primary and independent checks, two damaged-receipt rejection controls, three forward delayed-injection checks, and the reverse check. No historical source or receipt is changed. + +The driver removes `PYTHONOPTIMIZE` from the child-process environment so that child checks and their descendants keep assertions enabled. `OPTIMIZATION-ENV-VALIDATION.json` records a fresh replay with `PYTHONOPTIMIZE=1` and an isolated parent interpreter. + +## Open next questions + +Can a joint late operator or a changed packet factory reduce the full paid cost? The first step is a literal scalar program with its complete frame and dirty-helper contract. Those objects are absent here. Can split center injections or shared carriers avoid the delayed-injection bound? A candidate must first define the shared state and pay each required target-frame visit. The present finite family does not settle that question. diff --git a/research/legacy-packet-limits/SOURCE-MANIFEST.json b/research/legacy-packet-limits/SOURCE-MANIFEST.json new file mode 100644 index 0000000000..1fa5fa4edb --- /dev/null +++ b/research/legacy-packet-limits/SOURCE-MANIFEST.json @@ -0,0 +1,210 @@ +{ + "base_commit": "cef4b52f2a59009865bf8eabde1be3f159063703", + "files": [ + { + "path": "source/packet-joint-basis/PROOF.md", + "source": "work/autonomous-kappa-run/packet-joint-basis/PROOF.md", + "bytes": 4761, + "sha256": "db99ce3a134cf0932cbd45510f8210d41cebdc639cff0f5a494793a250bedd84" + }, + { + "path": "source/packet-joint-basis/check.py", + "source": "work/autonomous-kappa-run/packet-joint-basis/check.py", + "bytes": 14712, + "sha256": "77c393068eedfac411d60e57ac7341e73167500ccfe99f12ee1791f8c0951f00" + }, + { + "path": "source/packet-joint-basis/verify.py", + "source": "work/autonomous-kappa-run/packet-joint-basis/verify.py", + "bytes": 7399, + "sha256": 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Its TARGET block is invertible, since each TARGET-only add/scale is invertible. For the same saved center value, moving injection through a B prefix multiplies the injection column by that prefix TARGET block. All other columns stay fixed. Any literal copy path must visit the actual frames of every nonzero transported target. The canonical transition distance is dimF+dimG-2dim(F intersect G). Its triangle inequality permits removal of intermediate frames and gives a minimum spanning tree on the start and served frames as a lower bound. Separate center cuts, arbitrary target order and arbitrary intermediate frames are granted. Holding copies, physical owners, ordinary operations, wrappers and fresh dirt interfaces have no negative price and are omitted.", + "scope": "Each original center value is held without changing its scalar value and injected at one literal B cut. The private case uses one copy. The productive case grants a free same-frame exchange into a carrier that has frame8 at the old cut and must exit FULL9; its old remaining rank1 completion is credited. The unchanged B word and actual TARGET frames remain. The productive scalar exchange and arbitrary-dirt endpoint are not asserted to exist. This does not exclude split injections, new TARGET words, a joint productive operator, a new SOURCE basis or another controller. A lower bound below64 is a screen only, not a verified gain." +} diff --git a/research/legacy-packet-limits/evidence/FOUR-DELAYED-INJECTION.json b/research/legacy-packet-limits/evidence/FOUR-DELAYED-INJECTION.json new file mode 100644 index 0000000000..d4b7704717 --- /dev/null +++ b/research/legacy-packet-limits/evidence/FOUR-DELAYED-INJECTION.json @@ -0,0 +1,2062 @@ +{ + "status": "PASS_EXACT_DELAYED_INJECTION_NECESSARY_COST_SCREEN", + "source_PR": 564, + "source_head": "c18417b02b80594b2ca1c8c21185d28befafc935", + "word_sha256": "d8b15de893feb4f0c93b456341a43e34aea7ffd0b3044a6d5ad44ac9efaa6d72", + "word_payload_sha256": "23802c1cd35143aa21b6699cee2805013c9e042eaef8b3ad63d18f6d0a45e794", + "script_sha256": "0ff212bdf3b5adafb4768e4c4a5fbf17b3c03e4ee2fc906fbbc7e63b54238ccb", + "B_gates": 1893, + "TARGET_climb_cuts": 544, + "cuts_checked": 2438, + "old_private_transition_rank_sum": 64, + "lower_bound_with_independent_center_cuts": 64, + "best_common_cut": { + "B_prefix_length": 0, + 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Its TARGET block is invertible, since each TARGET-only add/scale is invertible. For the same saved center value, moving injection through a B prefix multiplies the injection column by that prefix TARGET block. All other columns stay fixed. Any literal copy path must visit the actual frames of every nonzero transported target. The canonical transition distance is dimF+dimG-2dim(F intersect G). Its triangle inequality permits removal of intermediate frames and gives a minimum spanning tree on the start and served frames as a lower bound. Separate center cuts, arbitrary target order and arbitrary intermediate frames are granted. Holding copies, physical owners, ordinary operations, wrappers and fresh dirt interfaces have no negative price and are omitted.", + "scope": "Each original center value is held without changing its scalar value and injected at one literal B cut. The private case uses one copy. The productive case grants a free same-frame exchange into a carrier that has frame8 at the old cut and must exit FULL9; its old remaining rank1 completion is credited. The unchanged B word and actual TARGET frames remain. The productive scalar exchange and arbitrary-dirt endpoint are not asserted to exist. This does not exclude split injections, new TARGET words, a joint productive operator, a new SOURCE basis or another controller. A lower bound below64 is a screen only, not a verified gain." +} diff --git a/research/legacy-packet-limits/evidence/ZERO-DELAYED-INJECTION.json b/research/legacy-packet-limits/evidence/ZERO-DELAYED-INJECTION.json new file mode 100644 index 0000000000..2f97e60a56 --- /dev/null +++ b/research/legacy-packet-limits/evidence/ZERO-DELAYED-INJECTION.json @@ -0,0 +1,2062 @@ +{ + "status": "PASS_EXACT_DELAYED_INJECTION_NECESSARY_COST_SCREEN", + "source_PR": 564, + "source_head": "c18417b02b80594b2ca1c8c21185d28befafc935", + "word_sha256": "cfaaf0e6e033641e29ef926a1150b670f339a95993ebd7d8b37b24f58d5e7eb5", + "word_payload_sha256": "e878beff358f01a19a22f7a59480663c1de1f7d6b201f082355344e65f75e732", + "script_sha256": "0ff212bdf3b5adafb4768e4c4a5fbf17b3c03e4ee2fc906fbbc7e63b54238ccb", + "B_gates": 1893, + "TARGET_climb_cuts": 544, + "cuts_checked": 2438, + "old_private_transition_rank_sum": 64, + "lower_bound_with_independent_center_cuts": 64, + "best_common_cut": { + "B_prefix_length": 0, + 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"105": 2, + "106": 16, + "107": 2, + "108": 16, + "109": 2, + "110": 16, + "111": 2, + "112": 10 + } + ], + "seconds": 2.100151833030395, + "argument": "The B background never reads a TARGET. Its TARGET block is invertible, since each TARGET-only add/scale is invertible. For the same saved center value, moving injection through a B prefix multiplies the injection column by that prefix TARGET block. All other columns stay fixed. Any literal copy path must visit the actual frames of every nonzero transported target. The canonical transition distance is dimF+dimG-2dim(F intersect G). Its triangle inequality permits removal of intermediate frames and gives a minimum spanning tree on the start and served frames as a lower bound. Separate center cuts, arbitrary target order and arbitrary intermediate frames are granted. Holding copies, physical owners, ordinary operations, wrappers and fresh dirt interfaces have no negative price and are omitted.", + "scope": "Each original center value is held without changing its scalar value and injected at one literal B cut. The private case uses one copy. The productive case grants a free same-frame exchange into a carrier that has frame8 at the old cut and must exit FULL9; its old remaining rank1 completion is credited. The unchanged B word and actual TARGET frames remain. The productive scalar exchange and arbitrary-dirt endpoint are not asserted to exist. This does not exclude split injections, new TARGET words, a joint productive operator, a new SOURCE basis or another controller. A lower bound below64 is a screen only, not a verified gain." +} diff --git a/research/legacy-packet-limits/evidence/check-0.stderr.log b/research/legacy-packet-limits/evidence/check-0.stderr.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/check-0.stdout.log b/research/legacy-packet-limits/evidence/check-0.stdout.log new file mode 100644 index 0000000000..8e07b2d863 --- /dev/null +++ b/research/legacy-packet-limits/evidence/check-0.stdout.log @@ -0,0 +1 @@ +{"status": "PASS_CLEAN_REPLAY_AND_SEMANTIC_CONTROLS", "commands": 4} diff --git a/research/legacy-packet-limits/evidence/check-1.stderr.log b/research/legacy-packet-limits/evidence/check-1.stderr.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/check-1.stdout.log b/research/legacy-packet-limits/evidence/check-1.stdout.log new file mode 100644 index 0000000000..e62e12fa4b --- /dev/null +++ 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"center_rank_deficit": 1, + "ordinary_clones": 8, + "optimistic_helpers": 37 + } + ], + "minimum_helpers_in_screen": 36, + "fixed_core_helpers": 16, + "fixed_second_face_copies": 12 + } + ], + "scope": "Own rows use four independent existing two-source partials per tetrahedron. Each output component is restored once. Existing face functions may be jointly refactored before this restoration, but their disjoint SOURCE supports cannot cancel outside the component cap. Center totals use only early retired donors, plus one optimistic new carrier per missing scalar direction. The fixed 16-helper factory and 12 second face copies remain. This is a necessary feasibility and inventory screen, not a lower bound for arbitrary interleaved words." +} diff --git a/research/legacy-packet-limits/evidence/joint-SECOND-ENGINE.json b/research/legacy-packet-limits/evidence/joint-SECOND-ENGINE.json new file mode 100644 index 0000000000..92b299aea3 --- /dev/null +++ b/research/legacy-packet-limits/evidence/joint-SECOND-ENGINE.json @@ -0,0 +1,175 @@ +{ + "status": "PASS_SECOND_EXACT_ENGINE", + "elapsed_seconds": 15.219711, + "blocks": [ + { + "block": [ + 0, + 1, + 2, + 3 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 0, + 1, + 4, + 5 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 0, + 1, + 6, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 0, + 2, + 4, + 6 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 0, + 2, + 5, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 0, + 3, + 4, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 0, + 3, + 5, + 6 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 1, + 2, + 4, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 1, + 2, + 5, + 6 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 1, + 3, + 4, + 6 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 1, + 3, + 5, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 2, + 3, + 4, + 5 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 2, + 3, + 6, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 4, + 5, + 6, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + } + ], + "controls": [ + { + "name": "Remove four required center directions", + "rejected": true, + "reason": "Exact quotient rank is four, rather than zero" + }, + { + "name": "Replace the dense output cap by the full frame", + "rejected": true, + "reason": "A required source port has nonzero binary pairing with a restored output" + } + ], + "sympy_version": "1.14.0", + "source_helpers_arbitrary_state_checked": false, + "kappa_gain": false +} diff --git a/research/legacy-packet-limits/evidence/joint-bad-center-stderr.log b/research/legacy-packet-limits/evidence/joint-bad-center-stderr.log new file mode 100644 index 0000000000..cde80f1716 --- /dev/null +++ b/research/legacy-packet-limits/evidence/joint-bad-center-stderr.log @@ -0,0 +1,10 @@ +Traceback (most recent call last): + File "/private/tmp/legacy-packet-audit-20261022/source/packet-joint-basis/verify.py", line 129, in + main() + ~~~~^^ + File "/private/tmp/legacy-packet-audit-20261022/source/packet-joint-basis/verify.py", line 102, in main + require(deficit == claimed['center_rank_deficit'], 'An unpaid center direction was claimed free.') + ~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/private/tmp/legacy-packet-audit-20261022/source/packet-joint-basis/verify.py", line 19, in require + raise ValueError(message) +ValueError: An unpaid center direction was claimed free. diff --git a/research/legacy-packet-limits/evidence/joint-bad-center-stdout.log b/research/legacy-packet-limits/evidence/joint-bad-center-stdout.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/joint-bad-frame-stderr.log b/research/legacy-packet-limits/evidence/joint-bad-frame-stderr.log new file mode 100644 index 0000000000..981b01285d --- /dev/null +++ b/research/legacy-packet-limits/evidence/joint-bad-frame-stderr.log @@ -0,0 +1,16 @@ +Traceback (most recent call last): + File "/private/tmp/legacy-packet-audit-20261022/source/packet-joint-basis/verify.py", line 129, in + main() + ~~~~^^ + File "/private/tmp/legacy-packet-audit-20261022/source/packet-joint-basis/verify.py", line 110, in main + require(all(not (vector & ports[target]).bit_count()%2 + ~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + for vector in control['required_cap'] + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + for target in receipt['blocks'][0]['candidate_bases'][0]['tetrahedron']), + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + 'The printed output cap includes a forbidden restored direction.') + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/private/tmp/legacy-packet-audit-20261022/source/packet-joint-basis/verify.py", line 19, in require + raise ValueError(message) +ValueError: The printed output cap includes a forbidden restored direction. diff --git a/research/legacy-packet-limits/evidence/joint-bad-frame-stdout.log b/research/legacy-packet-limits/evidence/joint-bad-frame-stdout.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/joint-primary-stderr.log b/research/legacy-packet-limits/evidence/joint-primary-stderr.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/joint-primary-stdout.log b/research/legacy-packet-limits/evidence/joint-primary-stdout.log new file mode 100644 index 0000000000..13399cdd7d --- /dev/null +++ b/research/legacy-packet-limits/evidence/joint-primary-stdout.log @@ -0,0 +1,23 @@ +{ + "status": "PASS_EXACT_NEGATIVE_JOINT_PARTIAL_BASIS_SCREEN", + "elapsed_seconds": 17.156931, + "source_pr": 569, + "source_commit": "1424da81263a5305b35e4cf74ef686c275f03f3f", + "scalar_field": "Exact rational arithmetic; the same finite matrices hold over R and C", + "prototype_sha256": "327d2a868043e846381aa58a33053c24425e8cad522ff401b10ec8af1d649a3f", + "packet_programs_sha256": "d833ae0390d165d7da0c639a3c7aeb77156c2ddb52447087cb49b9d03b19e9b9", + "current_provider_sha256": "6f99cffd73076a768d39c21bf97ced42b6a5d3228b1dcef79d6f072dd35c0ee5", + "all_blocks": 14, + "total_partial_subsets": 13860, + "total_independent_bases": 8820, + "both_tetrahedra_partial_bases_reselected": true, + "exhaustive_paired_center_cuts": 126, + "minimum_per_block_helpers": 36, + "minimum_full_helpers": 504, + "current_full_helpers": 504, + "helper_paths_saved": 0, + "dirty_helpers_verified": false, + "physical_owner_verified": false, + "kappa_improvement_claim": false, + "scope": "Own rows use four independent existing two-source partials per tetrahedron. Each output component is restored once. Existing face functions may be jointly refactored before this restoration, but their disjoint SOURCE supports cannot cancel outside the component cap. Center totals use only early retired donors, plus one optimistic new carrier per missing scalar direction. The fixed 16-helper factory and 12 second face copies remain. This is a necessary feasibility and inventory screen, not a lower bound for arbitrary interleaved words." +} diff --git a/research/legacy-packet-limits/evidence/joint-second-engine-stderr.log b/research/legacy-packet-limits/evidence/joint-second-engine-stderr.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/joint-second-engine-stdout.log b/research/legacy-packet-limits/evidence/joint-second-engine-stdout.log new file mode 100644 index 0000000000..3b8c7cef22 --- /dev/null +++ b/research/legacy-packet-limits/evidence/joint-second-engine-stdout.log @@ -0,0 +1 @@ +{"status": "PASS_SECOND_EXACT_ENGINE", "blocks": 14, "controls": 2, "elapsed_seconds": 15.220445} diff --git a/research/legacy-packet-limits/evidence/optimization-env/DELAYED-INJECTION-SECOND-METHOD.json b/research/legacy-packet-limits/evidence/optimization-env/DELAYED-INJECTION-SECOND-METHOD.json new file mode 100644 index 0000000000..446624c010 --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/DELAYED-INJECTION-SECOND-METHOD.json @@ -0,0 +1,76 @@ +{ + "status": "PASS_REVERSE_TRANSPORT_POINTSET_KRUSKAL_METHOD", + "providers": [ + { + "provider": "zero", + "cuts_checked": 2438, + "center_lower_bounds": [ + 8, + 8, + 8, + 8, + 8, + 8, + 8, + 8 + ], + "common_cut_lower": 64, + "full_decoder_identity": "R/4", + "productive_carrier_extra_rank_lower_sum": 128, + "omitted_first_cut_term_nonzero_output_entries": 2, + "inputs": { + "frontier/refresh-6/replay564-root/zero-cold-local/CANONICAL-WORD.json.gz": "cfaaf0e6e033641e29ef926a1150b670f339a95993ebd7d8b37b24f58d5e7eb5", + "frontier/refresh-6/replay564-root/zero-cold-word/FULL-WORD.json.gz": "2bb7fc53c8d561b4d8346cd428311e9e2263e037ddeb3cc4af810e24d704dd18", + "productive-joint-research/ZERO-DELAYED-INJECTION.json": "994d94b0fe3fbf1a95b598577fe17e8ac9dd674040ed47b61e5d8526d7163554" + } + }, + { + "provider": "four", + "cuts_checked": 2438, + "center_lower_bounds": [ + 8, + 8, + 8, + 8, + 8, + 8, + 8, + 8 + ], + "common_cut_lower": 64, + "full_decoder_identity": "R/4", + "productive_carrier_extra_rank_lower_sum": 128, + "omitted_first_cut_term_nonzero_output_entries": 2, + "inputs": { + "frontier/refresh-6/replay564-root/four-cold-local/CANONICAL-WORD.json.gz": "d8b15de893feb4f0c93b456341a43e34aea7ffd0b3044a6d5ad44ac9efaa6d72", + "frontier/refresh-6/replay564-root/four-cold-word/FULL-WORD.json.gz": "c75015daa4b3d5125edeb0e42a3a3d52774841fbaf95c2b69d323e5ad69d82c5", + "productive-joint-research/FOUR-DELAYED-INJECTION.json": "3c7b5a6f95c4007ce7f75e41a76a54b791987edb7aab4e02045ab7151875bb0e" + } + }, + { + "provider": "eight", + "cuts_checked": 2438, + "center_lower_bounds": [ + 8, + 8, + 8, + 8, + 8, + 8, + 8, + 8 + ], + "common_cut_lower": 64, + "full_decoder_identity": "R/4", + "productive_carrier_extra_rank_lower_sum": 128, + "omitted_first_cut_term_nonzero_output_entries": 2, + "inputs": { + "frontier/refresh-6/replay564-root/eight-cold-local/CANONICAL-WORD.json.gz": "6bf22cadf4a4669458bfd9e8dd7dab80d8502595e52fc36acb60e9148f9fe93f", + "frontier/refresh-6/replay564-root/eight-cold-word/FULL-WORD.json.gz": "0495b94d1a7b0de6430825025bcf139a1d883c5f695a7d817d664672459f5fa0", + "productive-joint-research/EIGHT-DELAYED-INJECTION.json": "ebd80b4f1d746c82ec33806673829808c72db1f79941ae988f61aba737f12021" + } + } + ], + "script_sha256": "829138cd7ecb4274cf82a18836aff7bf0a20048cf97f01f9ac6165541cd76b6d", + "scope": "Second algorithm on the same pinned physical words. This is not an independent agent review. It proves only the one-held-copy, one-injection-cut route lower bound; it does not close all productive joint operators." +} diff --git a/research/legacy-packet-limits/evidence/optimization-env/EIGHT-DELAYED-INJECTION.json b/research/legacy-packet-limits/evidence/optimization-env/EIGHT-DELAYED-INJECTION.json new file mode 100644 index 0000000000..5510b242de --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/EIGHT-DELAYED-INJECTION.json @@ -0,0 +1,2062 @@ +{ + "status": "PASS_EXACT_DELAYED_INJECTION_NECESSARY_COST_SCREEN", + "source_PR": 564, + "source_head": "c18417b02b80594b2ca1c8c21185d28befafc935", + "word_sha256": "6bf22cadf4a4669458bfd9e8dd7dab80d8502595e52fc36acb60e9148f9fe93f", + "word_payload_sha256": "ff8d67b0c8fbfbd13b1c8ab25032af446b09ef280a43d2b61a74f2bd558d7940", + "script_sha256": "0ff212bdf3b5adafb4768e4c4a5fbf17b3c03e4ee2fc906fbbc7e63b54238ccb", + "B_gates": 1893, + "TARGET_climb_cuts": 544, + "cuts_checked": 2438, + 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Its TARGET block is invertible, since each TARGET-only add/scale is invertible. For the same saved center value, moving injection through a B prefix multiplies the injection column by that prefix TARGET block. All other columns stay fixed. Any literal copy path must visit the actual frames of every nonzero transported target. The canonical transition distance is dimF+dimG-2dim(F intersect G). Its triangle inequality permits removal of intermediate frames and gives a minimum spanning tree on the start and served frames as a lower bound. Separate center cuts, arbitrary target order and arbitrary intermediate frames are granted. Holding copies, physical owners, ordinary operations, wrappers and fresh dirt interfaces have no negative price and are omitted.", + "scope": "Each original center value is held without changing its scalar value and injected at one literal B cut. The private case uses one copy. The productive case grants a free same-frame exchange into a carrier that has frame8 at the old cut and must exit FULL9; its old remaining rank1 completion is credited. The unchanged B word and actual TARGET frames remain. The productive scalar exchange and arbitrary-dirt endpoint are not asserted to exist. This does not exclude split injections, new TARGET words, a joint productive operator, a new SOURCE basis or another controller. A lower bound below64 is a screen only, not a verified gain." +} diff --git a/research/legacy-packet-limits/evidence/optimization-env/FOUR-DELAYED-INJECTION.json b/research/legacy-packet-limits/evidence/optimization-env/FOUR-DELAYED-INJECTION.json new file mode 100644 index 0000000000..fc9d90a67e --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/FOUR-DELAYED-INJECTION.json @@ -0,0 +1,2062 @@ +{ + "status": "PASS_EXACT_DELAYED_INJECTION_NECESSARY_COST_SCREEN", + "source_PR": 564, + "source_head": "c18417b02b80594b2ca1c8c21185d28befafc935", + "word_sha256": "d8b15de893feb4f0c93b456341a43e34aea7ffd0b3044a6d5ad44ac9efaa6d72", + "word_payload_sha256": "23802c1cd35143aa21b6699cee2805013c9e042eaef8b3ad63d18f6d0a45e794", + "script_sha256": "0ff212bdf3b5adafb4768e4c4a5fbf17b3c03e4ee2fc906fbbc7e63b54238ccb", + "B_gates": 1893, + "TARGET_climb_cuts": 544, + "cuts_checked": 2438, + "old_private_transition_rank_sum": 64, + "lower_bound_with_independent_center_cuts": 64, + 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Its TARGET block is invertible, since each TARGET-only add/scale is invertible. For the same saved center value, moving injection through a B prefix multiplies the injection column by that prefix TARGET block. All other columns stay fixed. Any literal copy path must visit the actual frames of every nonzero transported target. The canonical transition distance is dimF+dimG-2dim(F intersect G). Its triangle inequality permits removal of intermediate frames and gives a minimum spanning tree on the start and served frames as a lower bound. Separate center cuts, arbitrary target order and arbitrary intermediate frames are granted. Holding copies, physical owners, ordinary operations, wrappers and fresh dirt interfaces have no negative price and are omitted.", + "scope": "Each original center value is held without changing its scalar value and injected at one literal B cut. The private case uses one copy. The productive case grants a free same-frame exchange into a carrier that has frame8 at the old cut and must exit FULL9; its old remaining rank1 completion is credited. The unchanged B word and actual TARGET frames remain. The productive scalar exchange and arbitrary-dirt endpoint are not asserted to exist. This does not exclude split injections, new TARGET words, a joint productive operator, a new SOURCE basis or another controller. A lower bound below64 is a screen only, not a verified gain." +} diff --git a/research/legacy-packet-limits/evidence/optimization-env/RUN.json b/research/legacy-packet-limits/evidence/optimization-env/RUN.json new file mode 100644 index 0000000000..dd26165727 --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/RUN.json @@ -0,0 +1,27 @@ +[ + { + "check": "packet-joint-basis/run_checks.py", + "exit_code": 0, + "seconds": 74.45475625002291 + }, + { + "check": "productive-joint-research/screen_delayed_injection.py", + "exit_code": 0, + "seconds": 2.2623577089980245 + }, + { + "check": "productive-joint-research/screen_delayed_injection.py", + "exit_code": 0, + "seconds": 1.9059005409944803 + }, + { + "check": "productive-joint-research/screen_delayed_injection.py", + "exit_code": 0, + "seconds": 1.7204622499994002 + }, + { + "check": "productive-joint-research/check_delayed_injection.py", + "exit_code": 0, + "seconds": 11.853085999959148 + } +] diff --git 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2, + "108": 16, + "109": 2, + "110": 16, + "111": 2, + "112": 10 + } + ], + "seconds": 2.0923785000341013, + "argument": "The B background never reads a TARGET. Its TARGET block is invertible, since each TARGET-only add/scale is invertible. For the same saved center value, moving injection through a B prefix multiplies the injection column by that prefix TARGET block. All other columns stay fixed. Any literal copy path must visit the actual frames of every nonzero transported target. The canonical transition distance is dimF+dimG-2dim(F intersect G). Its triangle inequality permits removal of intermediate frames and gives a minimum spanning tree on the start and served frames as a lower bound. Separate center cuts, arbitrary target order and arbitrary intermediate frames are granted. Holding copies, physical owners, ordinary operations, wrappers and fresh dirt interfaces have no negative price and are omitted.", + "scope": "Each original center value is held without changing its scalar value and injected at one literal B cut. The private case uses one copy. The productive case grants a free same-frame exchange into a carrier that has frame8 at the old cut and must exit FULL9; its old remaining rank1 completion is credited. The unchanged B word and actual TARGET frames remain. The productive scalar exchange and arbitrary-dirt endpoint are not asserted to exist. This does not exclude split injections, new TARGET words, a joint productive operator, a new SOURCE basis or another controller. A lower bound below64 is a screen only, not a verified gain." +} diff --git a/research/legacy-packet-limits/evidence/optimization-env/check-0.stderr.log b/research/legacy-packet-limits/evidence/optimization-env/check-0.stderr.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/optimization-env/check-0.stdout.log b/research/legacy-packet-limits/evidence/optimization-env/check-0.stdout.log new file mode 100644 index 0000000000..8e07b2d863 --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/check-0.stdout.log @@ -0,0 +1 @@ +{"status": "PASS_CLEAN_REPLAY_AND_SEMANTIC_CONTROLS", "commands": 4} diff --git a/research/legacy-packet-limits/evidence/optimization-env/check-1.stderr.log b/research/legacy-packet-limits/evidence/optimization-env/check-1.stderr.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/optimization-env/check-1.stdout.log b/research/legacy-packet-limits/evidence/optimization-env/check-1.stdout.log new file mode 100644 index 0000000000..e62e12fa4b --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/check-1.stdout.log @@ -0,0 +1 @@ +PASS_EXACT_DELAYED_INJECTION_NECESSARY_COST_SCREEN cuts 2438 independent lower 64 common lower 64 diff --git a/research/legacy-packet-limits/evidence/optimization-env/check-2.stderr.log b/research/legacy-packet-limits/evidence/optimization-env/check-2.stderr.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/optimization-env/check-2.stdout.log b/research/legacy-packet-limits/evidence/optimization-env/check-2.stdout.log new file mode 100644 index 0000000000..e62e12fa4b --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/check-2.stdout.log @@ -0,0 +1 @@ +PASS_EXACT_DELAYED_INJECTION_NECESSARY_COST_SCREEN cuts 2438 independent lower 64 common lower 64 diff --git a/research/legacy-packet-limits/evidence/optimization-env/check-3.stderr.log b/research/legacy-packet-limits/evidence/optimization-env/check-3.stderr.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/optimization-env/check-3.stdout.log b/research/legacy-packet-limits/evidence/optimization-env/check-3.stdout.log new file mode 100644 index 0000000000..e62e12fa4b --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/check-3.stdout.log @@ -0,0 +1 @@ +PASS_EXACT_DELAYED_INJECTION_NECESSARY_COST_SCREEN cuts 2438 independent lower 64 common lower 64 diff --git a/research/legacy-packet-limits/evidence/optimization-env/check-4.stderr.log b/research/legacy-packet-limits/evidence/optimization-env/check-4.stderr.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/optimization-env/check-4.stdout.log b/research/legacy-packet-limits/evidence/optimization-env/check-4.stdout.log new file mode 100644 index 0000000000..562c580450 --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/check-4.stdout.log @@ -0,0 +1 @@ +PASS_REVERSE_TRANSPORT_POINTSET_KRUSKAL_METHOD diff --git a/research/legacy-packet-limits/evidence/optimization-env/joint-BAD-CENTER.json b/research/legacy-packet-limits/evidence/optimization-env/joint-BAD-CENTER.json new file mode 100644 index 0000000000..69fc5b3663 --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/joint-BAD-CENTER.json @@ -0,0 +1,4673 @@ +{ + "status": "PASS_EXACT_NEGATIVE_JOINT_PARTIAL_BASIS_SCREEN", + "elapsed_seconds": 28.032044, + "source_pr": 569, + "source_commit": "1424da81263a5305b35e4cf74ef686c275f03f3f", + "scalar_field": "Exact rational arithmetic; the same finite matrices hold over R and C", + "prototype_sha256": "327d2a868043e846381aa58a33053c24425e8cad522ff401b10ec8af1d649a3f", + 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Each output component is restored once. Existing face functions may be jointly refactored before this restoration, but their disjoint SOURCE supports cannot cancel outside the component cap. Center totals use only early retired donors, plus one optimistic new carrier per missing scalar direction. The fixed 16-helper factory and 12 second face copies remain. This is a necessary feasibility and inventory screen, not a lower bound for arbitrary interleaved words." +} diff --git a/research/legacy-packet-limits/evidence/optimization-env/joint-SECOND-ENGINE.json b/research/legacy-packet-limits/evidence/optimization-env/joint-SECOND-ENGINE.json new file mode 100644 index 0000000000..b41fd45a13 --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/joint-SECOND-ENGINE.json @@ -0,0 +1,175 @@ +{ + "status": "PASS_SECOND_EXACT_ENGINE", + "elapsed_seconds": 20.60435, + "blocks": [ + { + "block": [ + 0, + 1, + 2, + 3 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 0, + 1, + 4, + 5 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 0, + 1, + 6, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 0, + 2, + 4, + 6 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 0, + 2, + 5, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 0, + 3, + 4, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 0, + 3, + 5, + 6 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 1, + 2, + 4, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 1, + 2, + 5, + 6 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 1, + 3, + 4, + 6 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 1, + 3, + 5, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 2, + 3, + 4, + 5 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 2, + 3, + 6, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + }, + { + "block": [ + 4, + 5, + 6, + 7 + ], + "subsets": 990, + "bases": 630, + "center_cases": 9 + } + ], + "controls": [ + { + "name": "Remove four required center directions", + "rejected": true, + "reason": "Exact quotient rank is four, rather than zero" + }, + { + "name": "Replace the dense output cap by the full frame", + "rejected": true, + "reason": "A required source port has nonzero binary pairing with a restored output" + } + ], + "sympy_version": "1.14.0", + "source_helpers_arbitrary_state_checked": false, + "kappa_gain": false +} diff --git a/research/legacy-packet-limits/evidence/optimization-env/joint-bad-center-stderr.log b/research/legacy-packet-limits/evidence/optimization-env/joint-bad-center-stderr.log new file mode 100644 index 0000000000..1216859b21 --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/joint-bad-center-stderr.log @@ -0,0 +1,10 @@ +Traceback (most recent call last): + File "/private/tmp/legacy-packet-opt-env-20261022/source/packet-joint-basis/verify.py", line 129, in + main() + ~~~~^^ + File "/private/tmp/legacy-packet-opt-env-20261022/source/packet-joint-basis/verify.py", line 102, in main + require(deficit == claimed['center_rank_deficit'], 'An unpaid center direction was claimed free.') + ~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/private/tmp/legacy-packet-opt-env-20261022/source/packet-joint-basis/verify.py", line 19, in require + raise ValueError(message) +ValueError: An unpaid center direction was claimed free. diff --git a/research/legacy-packet-limits/evidence/optimization-env/joint-bad-center-stdout.log b/research/legacy-packet-limits/evidence/optimization-env/joint-bad-center-stdout.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/optimization-env/joint-bad-frame-stderr.log b/research/legacy-packet-limits/evidence/optimization-env/joint-bad-frame-stderr.log new file mode 100644 index 0000000000..c376049782 --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/joint-bad-frame-stderr.log @@ -0,0 +1,16 @@ +Traceback (most recent call last): + File "/private/tmp/legacy-packet-opt-env-20261022/source/packet-joint-basis/verify.py", line 129, in + main() + ~~~~^^ + File "/private/tmp/legacy-packet-opt-env-20261022/source/packet-joint-basis/verify.py", line 110, in main + require(all(not (vector & ports[target]).bit_count()%2 + ~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + for vector in control['required_cap'] + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + for target in receipt['blocks'][0]['candidate_bases'][0]['tetrahedron']), + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + 'The printed output cap includes a forbidden restored direction.') + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/private/tmp/legacy-packet-opt-env-20261022/source/packet-joint-basis/verify.py", line 19, in require + raise ValueError(message) +ValueError: The printed output cap includes a forbidden restored direction. diff --git a/research/legacy-packet-limits/evidence/optimization-env/joint-bad-frame-stdout.log b/research/legacy-packet-limits/evidence/optimization-env/joint-bad-frame-stdout.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/optimization-env/joint-primary-stderr.log b/research/legacy-packet-limits/evidence/optimization-env/joint-primary-stderr.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/optimization-env/joint-primary-stdout.log b/research/legacy-packet-limits/evidence/optimization-env/joint-primary-stdout.log new file mode 100644 index 0000000000..d9c2172b14 --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/joint-primary-stdout.log @@ -0,0 +1,23 @@ +{ + "status": "PASS_EXACT_NEGATIVE_JOINT_PARTIAL_BASIS_SCREEN", + "elapsed_seconds": 28.032044, + "source_pr": 569, + "source_commit": "1424da81263a5305b35e4cf74ef686c275f03f3f", + "scalar_field": "Exact rational arithmetic; the same finite matrices hold over R and C", + "prototype_sha256": "327d2a868043e846381aa58a33053c24425e8cad522ff401b10ec8af1d649a3f", + "packet_programs_sha256": "d833ae0390d165d7da0c639a3c7aeb77156c2ddb52447087cb49b9d03b19e9b9", + "current_provider_sha256": "6f99cffd73076a768d39c21bf97ced42b6a5d3228b1dcef79d6f072dd35c0ee5", + "all_blocks": 14, + "total_partial_subsets": 13860, + "total_independent_bases": 8820, + "both_tetrahedra_partial_bases_reselected": true, + "exhaustive_paired_center_cuts": 126, + "minimum_per_block_helpers": 36, + "minimum_full_helpers": 504, + "current_full_helpers": 504, + "helper_paths_saved": 0, + "dirty_helpers_verified": false, + "physical_owner_verified": false, + "kappa_improvement_claim": false, + "scope": "Own rows use four independent existing two-source partials per tetrahedron. Each output component is restored once. Existing face functions may be jointly refactored before this restoration, but their disjoint SOURCE supports cannot cancel outside the component cap. Center totals use only early retired donors, plus one optimistic new carrier per missing scalar direction. The fixed 16-helper factory and 12 second face copies remain. This is a necessary feasibility and inventory screen, not a lower bound for arbitrary interleaved words." +} diff --git a/research/legacy-packet-limits/evidence/optimization-env/joint-second-engine-stderr.log b/research/legacy-packet-limits/evidence/optimization-env/joint-second-engine-stderr.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/evidence/optimization-env/joint-second-engine-stdout.log b/research/legacy-packet-limits/evidence/optimization-env/joint-second-engine-stdout.log new file mode 100644 index 0000000000..eec86cc3be --- /dev/null +++ b/research/legacy-packet-limits/evidence/optimization-env/joint-second-engine-stdout.log @@ -0,0 +1 @@ +{"status": "PASS_SECOND_EXACT_ENGINE", "blocks": 14, "controls": 2, "elapsed_seconds": 20.605239} diff --git a/research/legacy-packet-limits/review/BOUNDARY-CHECK.json b/research/legacy-packet-limits/review/BOUNDARY-CHECK.json new file mode 100644 index 0000000000..f918ee2ca4 --- /dev/null +++ b/research/legacy-packet-limits/review/BOUNDARY-CHECK.json @@ -0,0 +1,26 @@ +{ + "zero": { + "B_scalar_events": 1893, + "TARGET_frame_change_boundaries": 544, + "cuts": 2438, + "frames_within_F2_9": true, + "scale_invertible": true, + "distinct_centers": 8 + }, + "four": { + "B_scalar_events": 1893, + "TARGET_frame_change_boundaries": 544, + "cuts": 2438, + "frames_within_F2_9": true, + "scale_invertible": true, + "distinct_centers": 8 + }, + "eight": { + "B_scalar_events": 1893, + "TARGET_frame_change_boundaries": 544, + "cuts": 2438, + "frames_within_F2_9": true, + "scale_invertible": true, + "distinct_centers": 8 + } +} diff --git a/research/legacy-packet-limits/review/CHECKED-FILES.json b/research/legacy-packet-limits/review/CHECKED-FILES.json new file mode 100644 index 0000000000..5d60c6716e --- /dev/null +++ b/research/legacy-packet-limits/review/CHECKED-FILES.json @@ -0,0 +1,467 @@ +{ + "package": "legacy-packet-limits", + "base_commit": "cef4b52f2a59009865bf8eabde1be3f159063703", + "scope": "All regular package files except top-level review/ and publication-review/ directories. 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"/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/legacy-audit/packages/legacy-packet-limits/verify.py", + "--work", + "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/reviews/packet-limits/optimized-output" + ], + "exit_code": 1, + "required_reason": "Assertions must remain enabled", + "unexpected_output_created": false + }, + { + "name": "existing-output-repeat", + "command": [ + "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/autonomous-kappa-run/venv/bin/python", + "-B", + "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/legacy-audit/packages/legacy-packet-limits/verify.py", + "--work", + "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/reviews/packet-limits/replay" + ], + "exit_code": 1, + "required_reason": "FileExistsError" + }, + { + "name": "source-hash", + "command": [ + "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/autonomous-kappa-run/venv/bin/python", + "-B", + "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/reviews/packet-limits/mutation-source/verify.py", + "--work", + "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/reviews/packet-limits/mutation-output" + ], + "exit_code": 1, + "required_reason": "SOURCE_HASH source/packet-joint-basis/PROOF.md", + "unexpected_output_created": false + }, + { + "name": "delayed-private", + "command": [ + "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/autonomous-kappa-run/venv/bin/python", + "-B", + "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/reviews/packet-limits/delayed-private/productive-joint-research/check_delayed_injection.py" + ], + "exit_code": 1, + "required_reason": "AssertionError" + }, + { + "name": "delayed-productive", + "command": [ + "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/autonomous-kappa-run/venv/bin/python", + "-B", + "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/reviews/packet-limits/delayed-productive/productive-joint-research/check_delayed_injection.py" + ], + "exit_code": 1, + "required_reason": "AssertionError" + } + ], + "environment_control": { + "command": [ + "env", + "PYTHONOPTIMIZE=1", + "OPENBLAS_NUM_THREADS=1", + "OMP_NUM_THREADS=1", + "MKL_NUM_THREADS=1", + "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/autonomous-kappa-run/venv/bin/python", + "-I", + "-B", + "work/project-final-cleanup-20261022/reviews/packet-limits/check_wrapper_environment.py", + "--package", + "work/project-final-cleanup-20261022/legacy-audit/packages/legacy-packet-limits", + "--work", + "work/project-final-cleanup-20261022/reviews/packet-limits/environment-probe", + "--out", + "work/project-final-cleanup-20261022/reviews/packet-limits/ENVIRONMENT-CONTROL.json" + ], + "exit_code": 0, + "mathematical_replay": false, + "test_script_sha256": "5db30da0e7ddf5fba938c57ecf798940d4b6252ecf333d5954dfd54a546d315f", + "receipt_sha256": "d5bf3e9204f2103f78ae270fdf8f68f406ddc81d6fdad2999ae8e58b90193dcf" + }, + "packaging_agent_corrected_wrapper_replay_receipt_sha256": "bbf74a48220e3b769cb810c2205161eb81083924125ba961dade35637a3af016", + "resolved_findings": [ + "Explicit common final component cap is a joint-basis model premise.", + "Delayed cuts exclude steps inside annotated frame-transition implementations.", + "Productive bound fixes distinct carriers, rank-eight exchange, FULL9 exit, and rank-one credit.", + "Historical delayed receipts have an earlier script hash; current script-bound receipts are supplied without rewriting historical records.", + "Historical PR564 generated words are distinguished from direct Git blobs, with replay provenance retained.", + "Pinned PR509 predecessor notice retained.", + "Wrapper clears inherited PYTHONOPTIMIZE in child environment." + ], + "not_run": [ + "Complete current selected supplier replay", + "Full historical PR531/PR564/PR569 supplier replay", + "New arbitrary-borrowed-state construction", + "Phase or all-size compiler verification", + "Whole-owner hosting and complete invoice", + "Outer recurrence or kappa calculation", + "Lean", + "Hosted CI" + ], + "kappa_improvement": false, + "source_check_sha256": "d185a18a53b260a090e724c829acad3708714be36f195106767dd9e6e4777618", + "historical_receipt_comparison_sha256": "c25052a62a60cbe1ccd4b812ddcb934b455a46b10fc41f770b8919dc0ac4c7e8", + "fresh_receipt_check_sha256": "eba0b84bd3d85f3e1f89dc839cbdcefcfd45440893f83d4edb3a879b9afce2c5", + "finite_boundary_check_sha256": "c413fb96a22b0d8b28b80cbf2b72682cffc40b836baf550c3ced08ad85dc1c74" +} diff --git a/research/legacy-packet-limits/review/REVIEW.md b/research/legacy-packet-limits/review/REVIEW.md new file mode 100644 index 0000000000..71a2ad811f --- /dev/null +++ b/research/legacy-packet-limits/review/REVIEW.md @@ -0,0 +1,186 @@ +# Independent agent review: fixed packet limits + +The review accepts the two finite negative results in the stated models. It +does not certify a new supplier, an unrestricted centre-encoding lower bound, +or a kappa improvement. This is an independent OpenAI Codex agent review. It is +not human review or proof-assistant verification. + +The review applies to the package bytes in `CHECKED-FILES.json`. The exact +replay commands and their results are in `REVIEW-RESULT.json`. The publication +comparison uses upstream commit `cef4b52f2a59009865bf8eabde1be3f159063703`. + +## Joint partial-basis result + +I read the proof, both matrix engines, the command driver, the literal packet +factory proof, the source pins, and the source notices. I checked the following +argument against the implementations. + +At the forty-operation factory cut, each tetrahedron has twelve existing +two-source directions. A choice of four independent rows gives a query matrix +Q. The required own-block response O fixes the output matrix K = O Q^-1. +The identity KQ = O is checked with exact rational arithmetic. + +The model requires every early query to fit the common final output cap of its +connected output component. This is a hypothesis of the screen. It must not be +inferred for an arbitrary ordered scalar implementation merely from the +undirected support graph of K. The factory, twelve second face copies, ordinary +late pair operator, and early retired-donor centre interface also remain fixed. + +Under that contract, the component test is a necessary clean-source test. +Different face keys have disjoint source support, so recombination of these +keys cannot cancel an excluded source coefficient. A four-output component has +no early face key. The three paired bases each have four early keys. The exact +enumeration gives 495 subsets and 315 independent bases per tetrahedron: +312 have one component of size four, and three have two components of size two. +The second engine uses SymPy determinants and graph closure. It does not import +the Fraction producer. + +For every paired choice, the centre deficit is the rational quotient rank of +the four coordinate totals modulo the rows of donors retired by disjoint face +assemblies that avoid the eight protected query carriers. Granting one new +carrier per missing scalar direction is a favorable inventory relaxation. The +possible triples (centre deficit, ordinary clones, helper inventory) are +(0,8,36), (1,8,37), and (4,4,36). A case with a four-output component already +needs at least eight ordinary clones, even if its centre storage is free. + +The replay checks all fourteen blocks, 13,860 subsets, 8,820 independent bases, +and 126 paired centre cases. The minimum is 36 slots per block and 504 in total +in this inventory model. The current first-partition case attains that inventory. +This does not emit or admit a changed scalar word. Arbitrary query directions, +different restoration schedules, shared centre state, new packet factories, +and new late delivery operators are outside this result. + +## Delayed injection result + +I read both propagation engines and the handoff. The necessary correction at a +B prefix is the original cut column multiplied by that prefix's target block. +The background never reads a target into a non-target. Target additions and +nonzero scales make the target block invertible. Thus the prefix transport is +valid for an unchanged saved centre value and unchanged B word. + +The tested boundaries are before B, after a scalar event, and after a full +annotated target-frame change before its scalar event. Each word has 1,893 +scalar events and 544 target-frame changes, for 2,438 boundaries. Injection +inside a frame-transition implementation is not included. + +For canonical frame subspaces, the transition distance is +dim(F)+dim(G)-2 dim(F intersection G). It is a metric. A path that serves all +nonzero transported target entries must visit their actual frames. Remove +intermediate path vertices by the triangle inequality, and then remove a +cycle if necessary. The minimum spanning tree on the start and served frames +therefore gives a valid path lower bound. The proof grants arbitrary delivery +order and arbitrary intermediate canonical frames. Storage and other positive +costs are omitted. + +The productive variant has a separate hypothesis: there is one distinct +productive carrier per centre, exchange at its original rank-eight frame is +free, its exit is FULL9, and only its old rank-one completion is subtracted. +The path must include FULL9 and every served frame. In addition to the tree +bound, it has length at least d(start,F)+d(F,FULL9) for each served F. The parity +of total canonical distance is the endpoint dimension difference, which is +odd. The code takes the larger bound and rounds up to this parity before it +subtracts one. This proves an extra rank bound in that favorable model; it does +not prove the scalar exchange exists or price a general productive encoding. + +The forward engine uses rational column propagation, binary elimination, and +Prim's tree algorithm. The second engine reconstructs the terminal R/4 decoder, +undoes target operations, restores prior target frames, uses complete binary +subspace point sets, and uses Kruskal's tree algorithm. It verifies return to +the original cut column and frame-zero targets. + +For each of the zero-, four-, and eight-cold words, both methods give eight +private bounds of eight, with total 64. The productive extra bounds are eight +copies of sixteen, with total 128. Separate cuts for separate centres do not +reduce these bounds. These are rank bounds, not native fee or kappa bounds. + +## Negative checks and reproduction + +The joint driver changes a true centre deficit of four to zero. The independent +engine rejects it with `An unpaid center direction was claimed free.` It also +replaces the common output cap with the full nine-dimensional frame. The +independent engine rejects it with +`The printed output cap includes a forbidden restored direction.` + +For each delayed word, omission of the first cut term changes two terminal +decoder entries. Additional review controls change a private per-centre bound +from eight to seven, and a productive extra bound from sixteen to fifteen. +The reverse engine rejects them at the corresponding exact bound comparisons. +These controls operate on copied output trees only. + +The wrapper rejects optimized Python, an existing output directory, and a +changed frozen proof byte. The source-hash failure occurs before output is +created. An initial review harness expected a prose message for the existing +directory case; the wrapper raises `FileExistsError`. The corrected harness +checks that actual exception. This was a review-harness expectation error. + +The fresh replay used CPython 3.14.7 and SymPy 1.14.0 from the retained main +environment. It ran one subprocess at a time with thread limits of one. Its +five top-level checks passed. Exact commands, per-check exits, semantic control +exits, and script/input hashes are retained with this review. + +A later wrapper correction removes `PYTHONOPTIMIZE` from the environment that +it passes to children. Without that correction, a parent started with `-I` +can ignore this variable while its children still consume it. I read the +correction and tested the supplied child environment for all five wrapper +calls. With `PYTHONOPTIMIZE=1` and parent `-I`, real child and grandchild probes +each had optimization level zero and active assertions. This was a narrow +environment test, not a second mathematical replay. The finite mathematical +scripts and compressed inputs remain byte-equal to my fresh replay. The +packaging agent also ran the actual corrected wrapper under that environment; +its separate receipt records five passing checks. + +## Source and receipt closure + +The literal factory files match PR531 commit +`e07a8a3f9f79c22113398a0c5dbbc7601f489b3e`. The provider and its notices match +PR569 commit `1424da81263a5305b35e4cf74ef686c275f03f3f`. The PR564 notice matches +`c18417b02b80594b2ca1c8c21185d28befafc935`. The PR509 notice matches +`7b9c720ecc9f483c383e7cd9c2ab81f06ee5df59`, at +`research/e8-lemma-g-lean/NOTICE.md`. These checks use Git blobs, not author +inference from the submission account. Apache-2.0 and the original notices +remain. The README credits icekylinx, Dominik Scholz, eumemic, +DreamingOfClouds, and the retained predecessor chains. + +The three delayed source words are frozen historical replay outputs, not Git +blobs at the PR564 commit. The retained ROOT-REPLAY record names that commit, +and the three local replay records bind the canonical word hashes. The present +review does not repeat the complete historical PR564 supplier replay. + +The old delayed receipts record checker hash +`bc61bd242523f15982cdb8474b9cee7b332a07d8c6be170109371d69d227564a`. +The preserved checker has hash +`0ff212bdf3b5adafb4768e4c4a5fbf17b3c03e4ee2fc906fbbc7e63b54238ccb`. +I did not infer that these are the same source. The fresh driver regenerates +all three receipts with the latter hash. All mathematical fields match the +historical receipts; only timing and the script hash differ. The package now +keeps fresh script-bound receipts next to its reverse receipt. The old records +remain unchanged, with the mismatch stated in the README. + +## Relation to the current repository + +At the comparison pin, `research/fixed-word-gauge-limits` holds a different +480-helper scalar word and its native event graph fixed while varying gauges. +Its boundary equation and graph certificates do not imply either result here. +This package instead changes partial query-basis choices in a stated packet +inventory model, or changes the injection boundary while holding a historical +504-helper B word fixed. + +The current `research/structural-gain/factory` proof gives 224 factory helpers, +or 392 with second face copies, for fixed packet planes and nested frames. It +does not include the present paired-centre and ordinary-clone inventory. I +also read the related end-cap obstruction summary; its fixed later skeleton, +deletion, and restoration classes differ. This is a targeted semantic check, +not a proof of global novelty or an exhaustive review of every open PR. + +## Limits + +The finite arithmetic checks and the stated metric argument support the exact +scoped claims. They do not verify arbitrary borrowed-state correctness of a +new construction, source access for a new operator, native phases, whole-owner +hosting, all-size composition, a full invoice, or an outer recurrence. No +current selected supplier replay, full PR531/PR564/PR569 replay, Lean run, +hosted CI run, or kappa calculation was performed for this review. + +The publication should say that these are two scoped obstructions. It should +not call them a strict performance improvement or a complete centre-encoding +solution. 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contextlib +import hashlib +import io +import json +import os +from pathlib import Path +import runpy +import subprocess +import sys +from unittest.mock import patch + +parser = argparse.ArgumentParser() +parser.add_argument("--package", type=Path, required=True) +parser.add_argument("--work", type=Path, required=True) +parser.add_argument("--out", type=Path, required=True) +args = parser.parse_args() +assert __debug__ and sys.flags.isolated == 1 +assert os.environ.get("PYTHONOPTIMIZE") == "1" +assert not args.work.exists() and not args.out.exists() +wrapper = args.package.resolve() / "verify.py" +original_run = subprocess.run +records = [] +child_probe = """ +import json, os, subprocess, sys +assert __debug__ and sys.flags.optimize == 0 +assert 'PYTHONOPTIMIZE' not in os.environ +code = 'import json,sys; assert __debug__; print(json.dumps({"optimize":sys.flags.optimize,"debug":__debug__}))' +r = subprocess.run([sys.executable, '-B', '-c', code], text=True, capture_output=True, check=True) +print(json.dumps({'optimize':sys.flags.optimize,'debug':__debug__,'grandchild':json.loads(r.stdout)})) +""" + + +def inspect_child(command, **kwargs): + assert command[:2] == [sys.executable, "-B"] + assert "PYTHONOPTIMIZE" not in kwargs["env"] + probe = original_run([sys.executable, "-B", "-c", child_probe], **kwargs) + assert probe.returncode == 0, probe.stderr + flags = json.loads(probe.stdout) + assert flags["optimize"] == flags["grandchild"]["optimize"] == 0 + records.append({"intercepted_command": command, "flags": flags}) + return probe + + +sys.argv = [str(wrapper), "--work", str(args.work.resolve())] +captured = io.StringIO() +with patch("subprocess.run", inspect_child), contextlib.redirect_stdout(captured): + runpy.run_path(str(wrapper), run_name="__main__") +assert len(records) == 5 +result = { + "status": "PASS_CHILD_AND_GRANDCHILD_ASSERTION_FLAGS", + "scope": "Environment instrumentation only. Mathematical children were replaced by flag probes.", + "wrapper_sha256": hashlib.sha256(wrapper.read_bytes()).hexdigest(), + "parent_flags": {"optimize": sys.flags.optimize, "isolated": sys.flags.isolated}, + "inherited_PYTHONOPTIMIZE": "1", + "children": records, +} +args.out.write_text(json.dumps(result, indent=2) + "\n") +print(result["status"]) diff --git a/research/legacy-packet-limits/review/delayed-private.stderr.log b/research/legacy-packet-limits/review/delayed-private.stderr.log new file mode 100644 index 0000000000..e70dd9283f --- /dev/null +++ b/research/legacy-packet-limits/review/delayed-private.stderr.log @@ -0,0 +1,5 @@ +Traceback (most recent call last): + File "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/reviews/packet-limits/delayed-private/productive-joint-research/check_delayed_injection.py", line 168, in + assert best == [x['lower_copy_transition_rank'] for x in report['best_center_cuts']] == [8]*8 + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ +AssertionError diff --git a/research/legacy-packet-limits/review/delayed-private.stdout.log b/research/legacy-packet-limits/review/delayed-private.stdout.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/review/delayed-productive.stderr.log b/research/legacy-packet-limits/review/delayed-productive.stderr.log new file mode 100644 index 0000000000..d92af0ebd5 --- /dev/null +++ b/research/legacy-packet-limits/review/delayed-productive.stderr.log @@ -0,0 +1,5 @@ +Traceback (most recent call last): + File "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/reviews/packet-limits/delayed-productive/productive-joint-research/check_delayed_injection.py", line 170, in + assert productive_best == [x['lower_extra_rank'] for x in report['productive_carrier_best_cuts']] == [16]*8 + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ +AssertionError diff --git a/research/legacy-packet-limits/review/delayed-productive.stdout.log b/research/legacy-packet-limits/review/delayed-productive.stdout.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/review/existing-output-repeat.stderr.log b/research/legacy-packet-limits/review/existing-output-repeat.stderr.log new file mode 100644 index 0000000000..4d1a904af4 --- /dev/null +++ b/research/legacy-packet-limits/review/existing-output-repeat.stderr.log @@ -0,0 +1,4 @@ +Traceback (most recent call last): + File "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/legacy-audit/packages/legacy-packet-limits/verify.py", line 19, in + raise FileExistsError(work) +FileExistsError: /Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/reviews/packet-limits/replay diff --git a/research/legacy-packet-limits/review/existing-output-repeat.stdout.log b/research/legacy-packet-limits/review/existing-output-repeat.stdout.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/review/existing-output.stderr.log b/research/legacy-packet-limits/review/existing-output.stderr.log new file mode 100644 index 0000000000..4d1a904af4 --- /dev/null +++ b/research/legacy-packet-limits/review/existing-output.stderr.log @@ -0,0 +1,4 @@ +Traceback (most recent call last): + File "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/legacy-audit/packages/legacy-packet-limits/verify.py", line 19, in + raise FileExistsError(work) +FileExistsError: /Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/reviews/packet-limits/replay diff --git a/research/legacy-packet-limits/review/existing-output.stdout.log b/research/legacy-packet-limits/review/existing-output.stdout.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/review/optimized-python-repeat.stderr.log b/research/legacy-packet-limits/review/optimized-python-repeat.stderr.log new file mode 100644 index 0000000000..b37f24f288 --- /dev/null +++ b/research/legacy-packet-limits/review/optimized-python-repeat.stderr.log @@ -0,0 +1,4 @@ +Traceback (most recent call last): + File "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/legacy-audit/packages/legacy-packet-limits/verify.py", line 12, in + raise RuntimeError("Assertions must remain enabled") +RuntimeError: Assertions must remain enabled diff --git a/research/legacy-packet-limits/review/optimized-python-repeat.stdout.log b/research/legacy-packet-limits/review/optimized-python-repeat.stdout.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/review/optimized-python.stderr.log b/research/legacy-packet-limits/review/optimized-python.stderr.log new file mode 100644 index 0000000000..b37f24f288 --- /dev/null +++ b/research/legacy-packet-limits/review/optimized-python.stderr.log @@ -0,0 +1,4 @@ +Traceback (most recent call last): + File "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/legacy-audit/packages/legacy-packet-limits/verify.py", line 12, in + raise RuntimeError("Assertions must remain enabled") +RuntimeError: Assertions must remain enabled diff --git a/research/legacy-packet-limits/review/optimized-python.stdout.log b/research/legacy-packet-limits/review/optimized-python.stdout.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/review/source-hash.stderr.log b/research/legacy-packet-limits/review/source-hash.stderr.log new file mode 100644 index 0000000000..d5c4ea5f34 --- /dev/null +++ b/research/legacy-packet-limits/review/source-hash.stderr.log @@ -0,0 +1,4 @@ +Traceback (most recent call last): + File "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/project-final-cleanup-20261022/reviews/packet-limits/mutation-source/verify.py", line 22, in + raise ValueError("SOURCE_HASH " + entry["path"]) +ValueError: SOURCE_HASH source/packet-joint-basis/PROOF.md diff --git a/research/legacy-packet-limits/review/source-hash.stdout.log b/research/legacy-packet-limits/review/source-hash.stdout.log new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/legacy-packet-limits/source/baseline535/source531/research/direct-delivery504-global/NOTICE.md b/research/legacy-packet-limits/source/baseline535/source531/research/direct-delivery504-global/NOTICE.md new file mode 100644 index 0000000000..f7a8f861be --- /dev/null +++ b/research/legacy-packet-limits/source/baseline535/source531/research/direct-delivery504-global/NOTICE.md @@ -0,0 +1,24 @@ +# Attribution and derivative scope + +Prepared for icekylinx with OpenAI GPT-6 Astra assistance; Apache-2.0. +Copyright 2026 icekylinx. 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. + +Dugongue'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/legacy-packet-limits/source/baseline535/source531/research/direct-delivery504-global/code/construct_504.py b/research/legacy-packet-limits/source/baseline535/source531/research/direct-delivery504-global/code/construct_504.py new file mode 100644 index 0000000000..776d046cde --- /dev/null +++ b/research/legacy-packet-limits/source/baseline535/source531/research/direct-delivery504-global/code/construct_504.py @@ -0,0 +1,333 @@ +# Round20 early-coordinate-center / own-Y variant, prepared for icekylinx +# with OpenAI Codex assistance. Apache-2.0. Scalar elementary-operation +# helpers below are retained from the attributed PR514 construct_partial.py. +# Adapted by OpenAI Codex for isolated structural research. +# Modified from PR425 by icekylinx with Codex assistance. +"""Full discovery word for Hamming packets with borrowed X and Y registers. + +This changes the scalar architecture. It is not accepted by the old restricted +gx interface: source bases may change until full-frame cleanup, and targets use +an explicitly inverted output basis. No supplier admission is asserted. +""" +import copy,gzip,json,math,time +import itertools as it +from collections import Counter,defaultdict +from fractions import Fraction as Q +from pathlib import Path + +import sys +INPUT=Path(sys.argv[1]);OUT=Path(sys.argv[2]);OUT.mkdir(parents=True,exist_ok=False);D=json.loads((INPUT/'PROTOTYPE.json').read_text()) +P=D['binary_ports'];R=D['root_lines'];v=120;h=9 +modules=json.load(gzip.open(INPUT/'PACKET-PROGRAMS.json.gz')) + +def basis(vectors): + b={} + for x in vectors: + 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 inside(a,b):return basis(a+b)==b +def hyper(p):return basis([x for x in range(1,512) if (x&p).bit_count()%2==0]) +FULL=basis([1<len(M):M.append(rr) + if len(M)==8:break + assert len(M)==8 + linear(regs,M,F) + for i,r in zip(c,regs): + assert rows[r]=={s:Q(R[s][i]) for s in ids} + block_totals[c,i]=r + +# All centers are complete while Y is still at zero. This is the crucial +# difference from an illegal early-own-Y prefix using the old center order. +centers=[] +for i in range(8): + regs=[block_totals[c,i] for c in sorted(blocks) if i in c] + F=hyper(P[frame[i]]);a=regs[0] + for b in regs[1:]:add(a,b,1,F) + centers.append(a) +centers += [frame[i] for i in range(8)] +center_frames=[cur[r] for r in centers] +assert list(map(len,center_frames))==[8]*8+[1]*8 +assert all(cur[v+t]==() for t in range(v)) + +phase=B +for t,(r,coef,F) in sorted(own_rows.items()): + assert cur[r]==F + add(v+t,r,coef,F) + +packets={} +for c,z in sorted(blocks.items()): + mp=maps[c] + for j,(e,F) in enumerate(list(zip(z['events'],z['event_frames']))[40:]): + if j not in early[c]: + t,s,a,b=e;add(mp[t],mp[s],Q(a,b),tuple(F)) + keys=[(p,eps) for p in it.combinations(c,2) for eps in (-1,1)] + for key,(r,alpha) in zip(keys,z['outputs']): + a=mp[r];b=alloc();add(b,a,1,cur[a]) + consumers=sorted(d for d in blocks if d!=c and set(key[0])<=set(d)) + assert len(consumers)==2 + for target,r in zip(consumers,(a,b)):packets[c,key[0],key[1],target]=(r,Q(alpha)) + +# Both tetrahedra use the same partition. A selected key has exactly two +# selected Y loads and no ordinary M consumer. Supply its two raw halves in +# opposite orders and never form that M. Other keys retain the old M path. +requests=defaultdict(list) +for pid,pair in enumerate(pairs): + if not pair['selected']:continue + (t,u),(key1,key2),mat=pair['targets'],pair['keys'],pair['matrix'] + requests[key1].append((t,-Q(mat[0][0],2))) + requests[key2].append((u,-Q(mat[0][1],2))) +second=[];first_join_counts=Counter() +for key,reqs in sorted(requests.items()): + assert len(reqs)==2 + c,p,eps=key + ds=sorted(d for d in blocks if d!=c and set(p)<=set(d));a,b=ds + for j,(target,coef) in enumerate(sorted(reqs)): + first_source,second_source=(a,b) if j==0 else (b,a) + r,alpha=packets[first_source,p,eps,second_source] + F=basis(cur[v+target]+cur[r]);assert inside(F,hyper(P[target])) + first_join_counts[len(F)]+=1;add(v+target,r,coef*alpha,F) + r,alpha=packets[second_source,p,eps,c] + second.append((target,r,coef*alpha)) + +Ms={} +for c in sorted(blocks): + for p in it.combinations(c,2): + ds=sorted(d for d in blocks if d!=c and set(p)<=set(d)) + for eps in (-1,1): + if (c,p,eps) in requests:continue + (a,alpha),(b,beta)=[packets[d,p,eps,c] for d in ds] + F=basis(cur[a]+cur[b]);add(a,b,beta/alpha,F) + Ms[c,p,eps]=(a,alpha) + +consumers=defaultdict(list) +for pid,pair in enumerate(pairs): + for key in pair['keys']:consumers[key].append(pid) +slots={} +for key,uses in sorted(consumers.items()): + assert len(uses)==2 + if key in requests: + assert all(pairs[i]['selected'] for i in uses) + continue + assert all(not pairs[i]['selected'] for i in uses) + a,alpha=Ms[key] + for j,pid in enumerate(uses): + if j==0:r=a + else:r=alloc();add(r,a,1,cur[a]) + slots[pid,key]=(r,alpha) +assert len(cur)-240==504 + +selected_join_counts=Counter() +for target,r,coef in second: + F=basis(cur[v+target]+cur[r]);assert inside(F,hyper(P[target])) + selected_join_counts[len(F)]+=1;add(v+target,r,coef,F) +output_basis=[] +for pair in pairs: + if not pair['selected']:continue + (t,u),mat=pair['targets'],pair['matrix'] + F=basis(cur[v+t]+cur[v+u]);assert inside(F,hyper(P[t])) and inside(F,hyper(P[u])) + add(v+t,v+u,1,F);add(v+u,v+t,-Q(1,2),F) + z=-Q(2*mat[1][0],mat[0][0]);scale(v+u,z,F);output_basis.append((t,u,z)) + +for pid,pair in enumerate(pairs): + if pair['selected']:continue + (t,u),(key1,key2),mat=pair['targets'],pair['keys'],pair['matrix'] + (a,alpha),(b,beta)=slots[pid,key1],slots[pid,key2] + F=basis(cur[a]+cur[b]);aa,ab=Q(mat[0][0])*alpha,Q(mat[0][1])*beta + ba,bb=Q(mat[1][0])*alpha,Q(mat[1][1])*beta + add(a,b,ab/aa,F);q=ba/(bb-ba*ab/aa);add(b,a,q,F) + add(v+t,a,-aa/2,hyper(P[t]));add(v+u,b,-(bb-ba*ab/aa)/2,hyper(P[u])) + +for t in range(v): + expected={s:-Q(G[t][s],2) for s in range(v) if s!=t and G[t][s] and s not in frame.values()} if t not in frame.values() else {} + assert rows[v+t]==expected,('side identity',t) + +scatter=[[Q(r[i],4) if t not in frame.values() else Q(0) for i in range(8)]+[Q(t==frame[i]) for i in range(8)] for t,r in enumerate(R)] +precondition=[] +for t,u,z in output_basis: + a,b=scatter[t].copy(),scatter[u].copy() + scatter[t]=[x/2-y/z for x,y in zip(a,b)] + scatter[u]=[x/2+y/z for x,y in zip(a,b)] + precondition.extend([['scale',v+u,(1/z).numerator,(1/z).denominator,[]], + ['add',v+u,v+t,1,2,[]],['add',v+t,v+u,-1,1,[]]]) +for r in range(len(cur)):climb(r,hyper(P[r-v]) if v<=r<2*v else FULL) +H[8]+=8;H[1]+=8 +assert sum(r*z for r,z in H.items())==9*504+240*8+72 + +def apply(e,matrix): + if e[0]=='add': + _,t,s,a,b,*_=e;q=Q(a,b) + for j,x in list(matrix[s].items()): + z=matrix[t].get(j,Q(0))+q*x + if z:matrix[t][j]=z + else:matrix[t].pop(j,None) + else: + _,t,a,b,*_=e;q=Q(a,b);matrix[t]={j:q*x for j,x in matrix[t].items()} +def inverse(e): + e=copy.deepcopy(e) + if e[0]=='add':e[3]*=-1 + else:e[2],e[3]=e[3],e[2] + e[-1]=list(FULL);return e +cut=[['add',v+t,centers[i],q.numerator,q.denominator,None] for t,row in enumerate(scatter) for i,q in enumerate(row) if q] +cleanup=[inverse(e) for e in reversed(A+B) if not v<=e[1]<2*v] +matrix=[{r:Q(1)} if r/2`. The representatives have four-coordinate supports in +the existing fourteen Hamming blocks, with eight lines per block. Define + +$$ +T_i=\sum_s r_s[i]x_s,\qquad +C_t=\frac14\sum_i r_t[i]T_i. +$$ + +Then `C_t = x_t + sum_{s != t} G[t,s] x_s/2`. It suffices to deliver the side +term `-sum_{s != t} G[t,s] x_s/2`, while restoring every source and helper. +The eight coordinate centers retain their actual rank-eight frames. The eight +isolated coordinate ports of the old 120-port construction are removed by the +same explicit restriction used in Round19; they do not contribute additional +centers or hidden scalar calls. + +For a coordinate pair `p=(i,j)` in a block `D`, normalize its face packet as + +$$ +F_{D,p,\epsilon} +=\sum_{s\in D:\ r_s[i]r_s[j]=\epsilon}r_s[i]x_s. +$$ + +The module's recorded output scale is part of this normalization. Exactly three +Hamming blocks contain a fixed coordinate pair. If `B` is the target block and +`A,C` are the other two, put `M_{B,p,epsilon}=F_A+F_C`. The usual face-packet +decomposition supplies all cross-block Gram terms; within a block, the only +nonzero off-diagonal Gram terms join its opposite-parity tetrahedra. + +## 2. Put the own-block term directly in an output basis + +For every block `(i,j,k,l)`, select the partition `(i,j)|(k,l)` in **both** +tetrahedra. For a selected target pair `(t,u)`, let + +$$ +a=r_t[i],\quad b=r_t[k],\quad c=r_u[i],\quad d=r_u[k], +\qquad d=-bc/a, +$$ + +and use the invertible output change + +$$ +K=\begin{pmatrix}1&1\\c/a&-c/a\end{pmatrix}, +\qquad +K^{-1}=\begin{pmatrix}1/2&a/(2c)\\1/2&-a/(2c)\end{pmatrix}. +$$ + +Loading `-a M_p/2` and `-b M_q/2` into the two coordinates before applying `K` +gives the required two cross-block outputs. Applying `K^{-1}` to the two +own-block Gram rows gives + +$$ +-G[t,s]/4-aG[u,s]/(4c),\qquad +-G[t,s]/4+aG[u,s]/(4c). +$$ + +Each row has exactly two nonzero source coefficients and equals a scaled +rank-two partial already present after the module's first forty operations. +The constructor matches the full exact coefficient vector, including its +scale, to the unique existing register. This replaces the eight separate +own-output helpers per block with the eight existing output registers. + +Arbitrary initial outputs are handled by applying `K^{-1}` at frame zero. +The center scatter is also expressed in that basis. The later explicit `K` +restores the original target coordinates. All other pair deliveries are added +after that restoration. Thus the construction preserves arbitrary initial +outputs, as well as giving the correct clean source columns. + +## 3. Complete centers before those output loads + +The center cut must precede the rank-two own-output loads. At the first-forty +operation frontier, selecting the same partition in both tetrahedra protects +eight pair-partial registers and leaves **eight** face assemblies whose two +operands avoid those registers. Execute those eight assemblies early. + +Their eight retired donors have clean source rank eight. At the containing +rank-four block frame, an explicitly emitted invertible elementary program +changes their basis so that four coordinates are the block totals +`sum_{s in B} r_s[i] x_s`; four complementary coordinates retain the remaining +information. No donor is overwritten or assumed initially clean. The emitted +operations, including their actual scale factors, are subject to the scalar +primitive audit; invertibility or rank alone does not admit an operation. + +The existing rank-eight center paths combine these block totals into the eight +`T_i`. At this cut the raw word has not touched any output. After the cut, load +the eight protected partials directly into the preconditioned outputs at their +rank-two frames, and execute the remaining four face assemblies. + +## 4. Deliver selected sums in two halves + +Each face packet has its existing carrier and one explicitly allocated copy, +one for each other block containing its coordinate pair. This costs twelve +helpers per block. + +Because both tetrahedra use the same partition, a selected key +`(B,p,epsilon)` has two selected output consumers and no ordinary consumer. +Write its packet sum as `A+C`, and call the two output coordinates `y_0,y_1`. +Before any cross-block packet summation, perform all first-half reads: + +* Load `A` into `y_0` using the copy of `A` assigned to the other block `C`. +* Load `C` into `y_1` using the copy of `C` assigned to the other block `A`. + +Only after every first-half read, form the ordinary packet sums. For the +selected key, keep its two assigned raw copies instead of summing them. +Complete `y_0` from its `C` copy and `y_1` from its `A` copy. The actual module +scales and selected-output coefficients multiply each read. + +The first loads join the own partial and their donor at rank four, and the +second loads join at rank six. Every join lies inside the relevant target +hyperplane, and all donor chains remain monotone. The constructor checks these +literal subspaces for all 112 first and 112 second loads. Performing all first +reads before packet summation is essential: the other copy may subsequently +change value and frame. Selected packet sums need no clone. The unselected +keys retain the previously explicit two-output pair transform and its copies. + +The per-block helper count is therefore + +| Purpose | Same partition | Different partitions, default504 | +|---|---:|---:| +| Original packet factory | 16 | 16 | +| Second copy of each face packet | 12 | 12 | +| Extra early center carriers | 0 | 4 | +| Ordinary two-consumer packet copies | 8 | 4 | +| Separate own-output or selected-sum clones | 0 | 0 | +| Total per block | 36 | 36 | + +Both variants have 504 helpers. The same-partition variant changes the +arbitrary-dirt response geometry; its advantage is not a further raw helper +reduction. In particular, this construction does **not** have 448 helpers. + +## 5. Exact arbitrary-dirt cancellation and restoration + +Let `D_h` be the raw target response to arbitrary initial helper `h`, and let +`C_h=K^{-1}D_h`, using the block-diagonal collection of selected output bases. +The response engine propagates exact rational columns through the entire +`A + cut + B` program and applies the recorded target preconditioner. A +correction `y -= C_h h` before the raw program cancels its helper response. + +For a kernel pivot `p`, an exact dyadic relation +`C_p = sum_d q_d C_d` permits the explicit prefix +`d -= q_d p` at a common entrance frame `E`. Pivot and donors must all contain +`E` in their first-use frames. The kernel prefix is an invertible source/helper +program. Globally disjoint pivot and donor sets prevent interacting pivots; +shared donors must follow comparable entrance frames. + +A gauge executes the correction `y -= C_h h` at its nonzero entrance frame. +That frame must be contained in the helper's first frame, in every affected +target's first frame, and in every center frame serving those targets. Target +levels and each center's served levels must form actual nested chains. Gauged +helpers are disjoint from both pivots and donors in this construction. + +Source/helper mutations never read an output. Reversing all source/helper +mutations at the full frame, including the kernel prefix, restores their entire +arbitrary initial state. The frame-zero preconditioner and the remaining +frame-zero dirty corrections then make the whole word exactly +`(x,y,h) -> (x,y+x,h)`. The independent final auditor checks this equality on +every live column in both forward and inverse-transpose orientations; clean +factory matching alone is not used as the arbitrary-dirt guarantee. + +## 6. Frozen entrance choice and paid profile + +`gauge_same.py` enumerates every admissible line for a helper in the fixed raw +word, using the actual response, first target frames and center incidences. An +exact dynamic program over partitions of the eight center labels finds 72 +compatible line gauges. The selected solution uses the single binary line +spanned by `6` in the raw Hamming labels, before canonical transport. This is a maximum only within this fixed-word, line-gauge +subclass and its retained first-use frames. + +With those 72 helpers reserved, `kernel_screen_same.py` searches first frames +and pairwise intersections. Modular rank is only a discovery filter. Every +accepted relation is solved and checked over `Fraction`, and its coefficients +are checked to be dyadic. The frozen choice has six rank-one classes (the +generators below also use raw Hamming labels): + +| Binary generator | Donors in class | Pivots | +|---|---:|---:| +| 486 | 36 | 32 | +| 480 | 36 | 32 | +| 414 | 20 | 4 | +| 408 | 20 | 4 | +| 390 | 8 | 4 | +| 384 | 8 | 4 | + +There are 128 distinct donors and 80 distinct pivots. This kernel search is +greedy and makes no optimality claim. The frozen `SELECTION.json`, not the +modular screening result, specifies the proof object. There are 152 helpers +of residual width eight and 352 of width nine. + +Backward frame coalescing subsequently changes 248 gate-frame annotations, +all in body `B` (none in the entrance prefix); +it preserves every scalar operation, coefficient, order, cut level, and helper +entrance/exit. Each promoted frame is permitted by both operands' actual +future frames. The literal profile, including donor prefix splits, is: + +| Rank | Raw same504 | 72 gauges + 80 pivots | Final coalesced word | +|---|---:|---:|---:| +| 1 | 1880 | 2060 | 2028 | +| 2 | 832 | 912 | 752 | +| 3 | 312 | 188 | 156 | +| 4 | 168 | 280 | 392 | +| 5 | 168 | 56 | 56 | +| 6 | 56 | 56 | 56 | +| 7 | 0 | 8 | 8 | +| 8 | 8 | 0 | 0 | + +The final rank mass is exactly + +$$ +6240=2\cdot112\cdot8+152\cdot8+352\cdot9+64. +$$ + +Coalescing preserves that mass and reduces the natural-log local fee +`sum_r r H_r log(73/r)` by exactly `96 log(64/3)`, approximately +293.785996290393. This is a local accounting statement. The global exponent +requires actual whole owners, spectator/entrance wrappers, all idle and bank +terms, finite compilation charges, and the exact global moment and outer +checks. Those are separate receipts; no local-only estimate is substituted +for them. + +## 7. Sources, credits and verification scope + +The pinned PR514 package supplies the Hamming geometry, packet modules and +`construct_partial.py`; it in turn credits PR507's partial-own factory and +the PR425/433 scalar ancestry. The scalar elementary-operation routines here +retain those notices. The exact response and word rewriter are the pinned +`e8-complex-gauge-kernel/code/gk_word.py` from DreamingOfClouds, whose original +notice credits Claude Opus 5.5 assistance and whose method credits +PR417/435/434/440 for kernels and PR401/408–416 for gauges. Their substantive +contributions remain part of the construction. + +This round's changes are the early own-output schedule, the early retired-row +center basis, the two-half selected packet delivery, the same-partition +variant, the joint frozen entrance selection, and its compatible frame +coalescing, prepared for icekylinx with GPT-6 Astra assistance. The contemporaneous +PR522 by Dugongue, pinned at +`e9f8075b5212e9bddf361097dbb022dcd052e0bb`, supplies a related rank-sector +coordinate-total principle used for inspiration and comparison. This round +does not import its `56 H_1 + 56 H_5 -> 56 H_6` patch: the early eight retired +rows, earlier center cut and output delivery form a newly emitted scalar +architecture. Its standalone numerical gain is not added to this word. The final package should +retain its broader inherited source/phase/whole-owner notices as well. + +The discovery scripts check exact clean identities, selected response +relations and literal local frames. The final independent auditor rebuilds +all dirty compensation and checks all columns, the inverse-transpose action, +dyadic primitives and canonical transport. Phase lowering, physical owners, +wrappers, finite invoices and global assembly are separate explicit checks. +No new universal compiler theorem, Lean certification, or unrestricted +optimality result is asserted by this note. diff --git a/research/legacy-packet-limits/source/frontier/refresh-6/proposals/564/NOTICE.md b/research/legacy-packet-limits/source/frontier/refresh-6/proposals/564/NOTICE.md new file mode 100644 index 0000000000..6d34842ccc --- /dev/null +++ b/research/legacy-packet-limits/source/frontier/refresh-6/proposals/564/NOTICE.md @@ -0,0 +1,11 @@ +# Attribution and scope + +The all-call cold-kernel composition, literal owner assignment, independent admission, packaging and exact assembly were prepared for eumemic with OpenAI Codex assistance. Apache-2.0 applies; LICENSE is included. No independent human-authorship or unconditional all-size theorem claim is made. + +This work combines eumemic/Codex PR561's cold-kernel word and mixed controller, head `210dfa4896e77a8fb5e22ca5a970b0fb0ac984a6`, with PR562's zero/four/eight provider construction and admission, head `27070553cfbf094148a74170481738f8b747d82e`. Their notices are copied at `proof/PR561-NOTICE.md` and `proof/PR562-NOTICE.md`. New owner assignments and all three complete cold native providers are verified independently here. All previous public heads and claims remain frozen. + +Full unchanged source packages of PR558 (`060b137c8a6f9d73fd7864c7f8cf2736d6441774`) and Rohan Arun's PR559 (`d858c0b2edcc704ef370b3c96dc51a75439b77b0`) are retained in vendor/. Their licenses, source pins, original authorship and AI disclosures are preserved. The native exact-complex recurrence credits PR559; its transfer to this all-call cold controller is reviewed separately. + +The retained ancestry includes Dugongue PR552, chafreaky PR551, icekylinx PR531/PR535, PR484/PR507/PR514 whole-owner/controller work, eumemic/Codex PR550, and the PR275 finite-frontier assembly. Original notices credit DreamingOfClouds with Claude Opus 5.5 through Claude Code, icekylinx with OpenAI Codex assistance, and Rohan Arun's earlier Claude and current Codex work. They are not replaced by this notice. + +The unchanged PR543 bit supplier is cited at `2065fe4f72a914d907f1046603f5a36f17018535`; its pinned complete profile is repriced but no fresh bit-circuit replay is claimed. Original Clifford and three-stage cover notes were reviewed at `12a4934d15006e8c10f9b2264f13f8f341be802b`. All inherited common-label/mutable-source, compiler, hosting, precision/tape, analytic and bit H1–H5 contracts remain conditional. diff --git a/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/ROOT-REPLAY.json b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/ROOT-REPLAY.json new file mode 100644 index 0000000000..fa64615ab4 --- /dev/null +++ b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/ROOT-REPLAY.json @@ -0,0 +1,23 @@ +{ + "status": "PASS_ROOT_UNMODIFIED_CLEAN_PR564_FULL_REPLAY", + "head": "c18417b02b80594b2ca1c8c21185d28befafc935", + "command": "venv/bin/python -B frontier/refresh-6/proposals/564/verify.py --work frontier/refresh-6/replay564-root", + "cwd": "/Users/aliromman/Documents/Codex/2026-10-10/hello-i-want-to-get-some/work/autonomous-kappa-run", + "exit_code": 0, + "seconds": 290.07838704204187, + "stages": 36, + "source_entries": 203, + "source_manifest_after_matches": true, + "source_manifest_sha256": "dd602912d0e60c9bb2befba446629ae531ea42a9d4fecda922f98aac40762c41", + "stdout_log_sha256": "0606d6fdd2e9c5fb464cdbccad825ff89b8b12e11d0bc3321b040ca090a054d3", + "result_sha256": "0d920e3e5875f511c8e0788dde674faf94f02225d988cd51c052b57d5eab3f30", + "receipt_sha256": "17bf8583ccb0841c3553a1ba23848c7908ee2b3edcb1c6bf7b6a561e98e82309", + "kappa": "39828353954541/25000000000000000", + "kappa_decimal": "0.00159313415818164", + "conservative_kappa_decimal": "0.001593134155443237", + "python": "3.14.7 (main, Aug 5 2026, 10:29:49) [Clang 21.0.0 (clang-2100.1.1.101)]", + "platform": "macOS-26.6.1-arm64-arm-64bit-Mach-O", + "scope": "Conditional native exact-complex witness after complete conservative admission, moment and outer checks; PR559 exact-cover recurrence correction only, bit bad-residue surcharge and H1-H5 retained. Three fixed one-cold per-invocation providers 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.", + "pr_ci_status": "57 successes and 3 generic failures at acquisition; repository CI was not all green. Local mathematical replay passed.", + "main_required_checks": "The unchanged isolated 681e8923 checkout previously passed make verify and both selected targets; see framework/current-main-required-checks.json. No source edit requires a repeat." +} diff --git a/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/eight-cold-local/CANONICAL-WORD.json.gz b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/eight-cold-local/CANONICAL-WORD.json.gz new file mode 100644 index 0000000000..10aeef9232 Binary files /dev/null and b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/eight-cold-local/CANONICAL-WORD.json.gz differ diff --git a/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/eight-cold-local/INDEPENDENT-LOCAL-REPLAY.json b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/eight-cold-local/INDEPENDENT-LOCAL-REPLAY.json new file mode 100644 index 0000000000..6a8835b50e --- /dev/null +++ b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/eight-cold-local/INDEPENDENT-LOCAL-REPLAY.json @@ -0,0 +1,58 @@ +{ + "status": "PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY", + "canonical_word_sha256": "6bf22cadf4a4669458bfd9e8dd7dab80d8502595e52fc36acb60e9148f9fe93f", + "local_programs_sha256": "0179812f9f23ed4d89621c2c8355ca76ca226688090b32c02bf31e6d765de9f9", + "v": 112, + "helpers": 504, + "local": { + "forward": { + "all_exact_columns": 728, + "prefix_l1_upper": "88876257700", + "prefix_bits_upper": 37, + "charged_payload_bits": 192, + "private_work_erased": true + }, + "backward": { + "all_exact_columns": 728, + "prefix_l1_upper": "1044730572396", + "prefix_bits_upper": 40, + "charged_payload_bits": 192, + "private_work_erased": true + } + }, + "paid_profiles": { + "forward": { + "1": 2317, + "4": 192, + "8": 8, + "3": 462, + "2": 426, + "6": 56, + "5": 56 + }, + "backward": { + "1": 2317, + "4": 192, + "8": 8, + "3": 462, + "2": 426, + "6": 56, + "5": 56 + } + }, + "entering_helpers": 213, + "negative_controls_rejected": [ + "wrong_scale", + "missing_center", + "wrong_common_frame", + "wrong_child_rank", + "missing_pre_wrapper", + "missing_post_wrapper", + "wrapper_with_wrong_frame", + "wrapper_in_wrong_phase", + "wrapper_on_a_data_register", + "wrapper_on_a_target_register", + "wrapper_on_a_centre_register" + ], + "scope": "Literal forward and inverse-transpose replay on every arbitrary data/helper column, physical frame incidence, ordered paid wrappers, cleared private work and prefix coefficients. Global hosting and outer exponent are separate." +} diff --git a/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/eight-cold-word/FULL-WORD.json.gz b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/eight-cold-word/FULL-WORD.json.gz new file mode 100644 index 0000000000..38cfa2468b Binary files /dev/null and b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/eight-cold-word/FULL-WORD.json.gz differ diff --git a/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/four-cold-local/CANONICAL-WORD.json.gz b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/four-cold-local/CANONICAL-WORD.json.gz new file mode 100644 index 0000000000..f7648eb070 Binary files /dev/null and b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/four-cold-local/CANONICAL-WORD.json.gz differ diff --git a/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/four-cold-local/INDEPENDENT-LOCAL-REPLAY.json b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/four-cold-local/INDEPENDENT-LOCAL-REPLAY.json new file mode 100644 index 0000000000..a08ca73d9d --- /dev/null +++ b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/four-cold-local/INDEPENDENT-LOCAL-REPLAY.json @@ -0,0 +1,58 @@ +{ + "status": "PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY", + "canonical_word_sha256": "d8b15de893feb4f0c93b456341a43e34aea7ffd0b3044a6d5ad44ac9efaa6d72", + "local_programs_sha256": "0b18cf4e24ba9f46ea24bb430e0cc9892ea3fe0a6a7586ff991e8d2ca22c1b82", + "v": 112, + "helpers": 504, + "local": { + "forward": { + "all_exact_columns": 728, + "prefix_l1_upper": "88876257700", + "prefix_bits_upper": 37, + "charged_payload_bits": 192, + "private_work_erased": true + }, + "backward": { + "all_exact_columns": 728, + "prefix_l1_upper": "1044730572396", + "prefix_bits_upper": 40, + "charged_payload_bits": 192, + "private_work_erased": true + } + }, + "paid_profiles": { + "forward": { + "1": 2309, + "4": 188, + "8": 8, + "3": 466, + "2": 434, + "6": 56, + "5": 56 + }, + "backward": { + "1": 2309, + "4": 188, + "8": 8, + "3": 466, + "2": 434, + "6": 56, + "5": 56 + } + }, + "entering_helpers": 213, + "negative_controls_rejected": [ + "wrong_scale", + "missing_center", + "wrong_common_frame", + "wrong_child_rank", + "missing_pre_wrapper", + "missing_post_wrapper", + "wrapper_with_wrong_frame", + "wrapper_in_wrong_phase", + "wrapper_on_a_data_register", + "wrapper_on_a_target_register", + "wrapper_on_a_centre_register" + ], + "scope": "Literal forward and inverse-transpose replay on every arbitrary data/helper column, physical frame incidence, ordered paid wrappers, cleared private work and prefix coefficients. Global hosting and outer exponent are separate." +} diff --git a/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/four-cold-word/FULL-WORD.json.gz b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/four-cold-word/FULL-WORD.json.gz new file mode 100644 index 0000000000..82af2338e8 Binary files /dev/null and b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/four-cold-word/FULL-WORD.json.gz differ diff --git a/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/zero-cold-local/CANONICAL-WORD.json.gz b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/zero-cold-local/CANONICAL-WORD.json.gz new file mode 100644 index 0000000000..41912bab70 Binary files /dev/null and b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/zero-cold-local/CANONICAL-WORD.json.gz differ diff --git a/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/zero-cold-local/INDEPENDENT-LOCAL-REPLAY.json b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/zero-cold-local/INDEPENDENT-LOCAL-REPLAY.json new file mode 100644 index 0000000000..144a3c77a3 --- /dev/null +++ b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/zero-cold-local/INDEPENDENT-LOCAL-REPLAY.json @@ -0,0 +1,58 @@ +{ + "status": "PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY", + "canonical_word_sha256": "cfaaf0e6e033641e29ef926a1150b670f339a95993ebd7d8b37b24f58d5e7eb5", + "local_programs_sha256": "17bf7294e3ba34b52c134f54eca352eb3200843c51c230d048957b6164ffee27", + "v": 112, + "helpers": 504, + "local": { + "forward": { + "all_exact_columns": 728, + "prefix_l1_upper": "88876257700", + "prefix_bits_upper": 37, + "charged_payload_bits": 192, + "private_work_erased": true + }, + "backward": { + "all_exact_columns": 728, + "prefix_l1_upper": "1044730572396", + "prefix_bits_upper": 40, + "charged_payload_bits": 192, + "private_work_erased": true + } + }, + "paid_profiles": { + "forward": { + "1": 2301, + "4": 184, + "8": 8, + "3": 470, + "2": 442, + "6": 56, + "5": 56 + }, + "backward": { + "1": 2301, + "4": 184, + "8": 8, + "3": 470, + "2": 442, + "6": 56, + "5": 56 + } + }, + "entering_helpers": 213, + "negative_controls_rejected": [ + "wrong_scale", + "missing_center", + "wrong_common_frame", + "wrong_child_rank", + "missing_pre_wrapper", + "missing_post_wrapper", + "wrapper_with_wrong_frame", + "wrapper_in_wrong_phase", + "wrapper_on_a_data_register", + "wrapper_on_a_target_register", + "wrapper_on_a_centre_register" + ], + "scope": "Literal forward and inverse-transpose replay on every arbitrary data/helper column, physical frame incidence, ordered paid wrappers, cleared private work and prefix coefficients. Global hosting and outer exponent are separate." +} diff --git a/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/zero-cold-word/FULL-WORD.json.gz b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/zero-cold-word/FULL-WORD.json.gz new file mode 100644 index 0000000000..b82e912885 Binary files /dev/null and b/research/legacy-packet-limits/source/frontier/refresh-6/replay564-root/zero-cold-word/FULL-WORD.json.gz differ diff --git a/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/MANIFEST.json b/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/MANIFEST.json new file mode 100644 index 0000000000..c8c22f51ca --- /dev/null +++ b/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/MANIFEST.json @@ -0,0 +1,349 @@ +{ + "schema": "width7-larger-gain-research/1", + "publication_base": "db0e57bc7f36b5ac0fc844ad7ce1396165ee6647", + "external_source_head": 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"b29ab797ce529b97f539f46a2576efd3d9c0782d19962a5a22c28b5de260a58e", + "stages/fourcold-mixed-screen/K2.json": "f6baa328dba7e5b98f923b9339ffaced9b0133860154575d73af046f523d6105", + "stages/fourcold-mixed-screen/K3.json": "8fd24d1333eba66f8f67f34dcfc71280eacd4ec36c4202350765ab4abb7b479a", + "stages/fourcold-mixed-screen/K4.json": "320c9c572e7e8149563feba33039aecaa88a280f7f306b9f33850737988e2a3c", + "stages/fourcold-mixed-screen/K5.json": "05a8e247722a8ede7accf71b200abece6ae5072f48ab50c601a5aa51986f60bb", + "stages/fourcold-mixed-screen/K6.json": "664d249d2a335578d0bbf10e161faaae12ec935b1d0394f9e12aa21937761271", + "stages/fourcold-mixed-screen/K7.json": "2e325a44479bc882476d7c7691b469e9db04f9c6a1f8f4e33679fc7970fd1814", + "stages/fourcold-mixed-screen/SOURCE.json": "8d1fc167260195a16f48cfc5d9dd74653cef69197b56de15234ff9879995ed09", + "stages/screen_stages.py": "406f46288b31add60ee49ad616e721ce0a18e5eb72b7b9a7dd8664466a4dd8db" + } +} diff --git a/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/NOTICE b/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/NOTICE new file mode 100644 index 0000000000..f04867c157 --- /dev/null +++ b/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/NOTICE @@ -0,0 +1,56 @@ +Larger-gain research, submitted by Dominik Scholz (DominikScholz), with +substantial OpenAI Codex (GPT-6 Astra) assistance in mathematical exploration, +implementation, verification and documentation, October 2026. New material is provided under the +repository's Apache-2.0 license. + +This directory builds on PR564 at c18417b02b80594b2ca1c8c21185d28befafc935 +and its inherited complex-allcold package. Its upstream construction, +provider, compiler, exact arithmetic, scheduling and bit-supplier notices +remain applicable. The repository NOTICE and the notices in the unchanged +research/complex-allcold, research/direct-delivery504-global and referenced +vendor packages are retained and incorporated by reference. + +The current work contributes extra checked suffix kernels, coupled entrance +frame promotions, whole-owner repacking, exact dual exclusions for finite +capacity and stage models, bounded geometry/architecture screens and +hypothetical cost-sensitivity targets. Source copies preserve their original +headers; adaptation manifests distinguish unchanged and modified files. +The stage nomination screen derives from Rohan Arun's retained complex501 +stage search. Provider frame and word routines retain the credited work of +DreamingOfClouds, icekylinx and their cited contributors, including the +earlier scalar, phase, frame, gauge, kernel and dirty-restoration ancestry. + +The immediate dependency is eumemic's PR564, at +c18417b02b80594b2ca1c8c21185d28befafc935. Named inherited contributions: + +- eumemic: PR564 and PR561/562/558 supply the cold-kernel words, zero/four/eight + provider family and admission machinery; PR550 supplies the hardened + assembly ancestry. PR543 supplies the cited unchanged bit circuit, whose + profile is repriced here without a fresh bit-circuit reconstruction. +- Rohan Arun / rohanarun: PR559 supplies the native exact-complex moment + argument; the retained complex501 follow-up supplies the stage-search base. +- Dugongue: PR552 supplies the collective-wave and weighted-response + construction, PR505 the asynchronous whole-owner scheduling ancestry, and + PR563 the earlier capacity-pattern LP used as a research starting point. +- Chafik Boukhalfa / chafreaky: PR551 supplies the full phase replay driver; + the earlier geometry, physical audit and invoice lineage remains credited. +- icekylinx: PR531 supplies the 504-helper direct-delivery factory, frame + coalescing and compiler/controller ancestry; PR535 supplies post-center + rank-four kernel work. +- DreamingOfClouds: PR484 and its successors supply shared-donor kernels, + entrance gauges, normalized wrappers and the credited word/frame machinery. +- DaysSky: PR442 and PR381 supply inherited idle-axis hosting and bridged + column-checking work. +- Zhihao Chen / jacklightChen: PR425 and PR386 supply inherited mutable-source + interface and geometry work. All earlier contributors remain credited in + the original notices and repository contributor record. + +These are inherited or cited contributions, not independently additive +numerical gains. Original authorship and AI-assistance disclosures remain +applicable, including DreamingOfClouds' Claude Opus 5.5 / Claude Code work, +icekylinx's GPT-6 Astra / Codex work, and each source's own disclosure. + +No priority claim is made for inherited constructions, the capacity-pattern +LP used in PR563, or graph minrank/product methods. Exact finite checks and +model-specific dual bounds are not an unconditional multiplication theorem, +a full Lean proof, or a worst-case constant-time indexing result. diff --git a/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/geometry/HELPER-TARGETS.md b/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/geometry/HELPER-TARGETS.md new file mode 100644 index 0000000000..42ae3b3bf2 --- /dev/null +++ b/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/geometry/HELPER-TARGETS.md @@ -0,0 +1,73 @@ +# Measured targets for reducing local helper cost + +The strongest concrete design target from this sensitivity screen is a local +redesign that saves six expensive helper paths per invocation. In the +optimistic dimension-73 packing model, that saving reaches a 1% increase over +PR564's `kappa = 0.001593134158181640`. This is a target for a new scalar word; +the current helpers cannot simply be deleted. + +[helper_sensitivity.py](helper_sensitivity.py) reads the actual four-cold +zero-, four- and eight-pivot words and retains their SHA256 values in +[HELPER-SENSITIVITY.json](HELPER-SENSITIVITY.json). It identifies 280 common +width-nine noncenter helpers and reconstructs each helper's paid frame path +from the word. Eight center carriers are excluded. The most expensive four +paths pay seven rank-one children and one rank-two child; the next 54 pay +six rank-one children and one rank-three child. + +The first experiment subtracts these actual paid paths and the corresponding +width-nine demand, starting with the most expensive paths. It assumes the +endpoint can be restored without replacement recursive work. Both sides of +the local paid-minus-residual mass invariant decrease by nine per helper, so +the global deficit remains unchanged. All other local costs, pending bins, +bank stock and padding remain in the fractional LP. + +| Dimension | Target relative gain | Hypothetical helpers saved per call | Remaining helpers | Local paid children saved | Relaxed banks | +| --- | ---: | ---: | ---: | --- | ---: | +| 73 | 1% | 6 | 498 | `40 H1 + 4 H2 + 2 H3` | 0 | +| 73 | 5% | 32 | 472 | `196 H1 + 4 H2 + 28 H3` | 0 | +| 57 | 1% | 17 | 487 | `106 H1 + 4 H2 + 13 H3` | 588 | +| 57 | 5% | 39 | 465 | `238 H1 + 4 H2 + 35 H3` | `1148/3` | + +For each row, an exact relaxed primal reaches the target rate and an exact +dual excludes that target with one fewer saved helper, using both rational +engines. Earlier integer counts were screened numerically; the receipt's +exact certificates concern the adjacent pair. The result is conditional on +this particular sequence of measured path savings, not a universal minimum +number of helpers for every possible redesign. Actual owner windows and +whole-call conflicts remain to be checked, and replacement computation may +erase the predicted gain. + +A second experiment repeats the observed cold-relation change +`H1 + 2 H2 - 2 H3` and changes one width-nine residual to width eight for each +additional relation. In dimension 73, 57 extra relations reach the 1% target, +with exact rejection at 56. No 5% target was reached through 220 relations. +Dimension 57 reached neither target through 220. Thus reducing expensive +helper paths is a more promising arithmetic target than repeating this +particular entrance optimization. Additional cold relations are not supplied +by this experiment. + +These numbers use the three original four-cold providers, before the later +width-seven promotions. They remain useful source-bound sensitivity values; +they do not claim optimal target counts for the expanded provider alphabet. +The 5% target also exceeds the currently cited PR543 bit-side limit. The +fetched PR555 `research/e8-bit-p111/README.md` already claims +`c = 0.001733052823330162099157`, enough bit-side headroom for this target. +Thus a new bit invention may not be needed, but replacing PR543 requires +source-bound PR555 replay and complete composition with the new complex +supplier. PR555 was inspected and was not replayed in this screen. + +## Why forty more width-four promotions were redundant + +Before width-seven promotions, a single width-five to width-four promotion +changes the paid profile by `2 H1 - 2 H2 - H3 + H4` and the inventory by +`+e4 - e5`. The fractional program sees only their total number `P` across +calls. The four-cold optimum has `P=448`, obtainable with 56 eight-pivot and +16 zero-pivot calls. Extending the same affine formula to 48 promoted helpers +merely provides another way to obtain that total: `28/3` such calls and +`188/3` zero-pivot calls still give 72 calls and `P=448`. + +The new provider can beat this bound only if its measured cost or available +packing patterns depart from that affine continuation. Width-seven +promotions do depart from it: they introduce a new residual width and change +which exact capacity patterns are possible. The expanded source-bound stage +screen is recorded separately in [README.md](README.md). diff --git a/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/providers/README.md b/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/providers/README.md new file mode 100644 index 0000000000..ba5e82c747 --- /dev/null +++ b/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/providers/README.md @@ -0,0 +1,223 @@ +# Provider search beyond PR564 + +The positive local result is a new width-seven provider family. Starting from +PR564's zero/four/eight-pivot words, three additional exact suffix kernels make +three width-nine helpers enter at rank one. Thirty-two existing rank-one +entrances then become rank two through paid forward frame changes. All three +resulting words pass independent native scalar, frame, wrapper and full phase +verification. A global owner assignment, invoice and recurrence certificate are +separate obligations; this directory does not claim a new global κ by itself. + +The source frontier is PR564, commit +`c18417b02b80594b2ca1c8c21185d28befafc935`, in +`research/complex-allcold`. No immutable source package was edited. Work here +was prepared with OpenAI Codex assistance; Apache-2.0. Inherited source notices +remain in their original packages. `coupled_frames_base.py` is an unchanged +copy of the earlier indexing-frontier frame search, with SHA256 +`b6033cd2959297a624b557f3d04665c8fbb680a4c0987daf0704ef93711700bd`. + +## Verified local words + +For promotion count p = 0, 4 or 8, the new paid profile is + +``` +(2336 + 2p)H1 + (608 - 2p)H2 + (336 - p)H3 ++ (184 + p)H4 + 56H5 + 56H6 + 8H8. +``` + +Its residual-width inventory is `{4:p, 5:56-p, 7:32, 8:128, 9:288}`. +Relative to the corresponding PR564 word, the complete local profile change +is `35H1 + 166H2 - 134H3`, reducing local rank mass by 35. That removed mass +must reappear in actual physical idle remainders; it is not a free global gain. + +The three new cold pivots are raw registers 506, 518 and 530. Their exact +five-donor relations use entrance lines 24, 30 and 30. They are disjoint from +one another and from PR564's register494 kernel. The selected cuts differ by +provider: eight uses B indices320/408/384, while zero and four use320/397/385. +A direct transplantation of the eight cut408 to zero/four is invalid because +one donor has already risen to rank four. The separate searches and +constructors check this distinction. + +Each additional cold kernel inserts five scalar additions and its cleanup; +the native auditor reconstructs dirty compensation from the actual word. +The subsequent32 entrance promotions change96 frame annotations and no scalar +operations or coefficients. Their actual profile change is +`32H1 + 160H2 - 128H3`; the cost is additive for these32 entrances. + +`width7/{zero,four,eight}` retains the complete raw and canonical words, +scalar programs, construction recipes, exact native receipts, reflected +ledgers, wrapper receipts and phase recipes/reviews. +`width7/LOCAL-CERTIFICATION.json` binds every retained artifact hash. Each +provider passes all728 columns in both orientations, restoration of all504 +arbitrary dirty helpers, all native frame chains, eleven independent local +mutation controls, normalized wrappers, all3005 exact directed phase edges +and224 endpoint adapters. These phase counts increased from PR564's2929 and +must be charged by the global invoice. + +The scalar kernel omission checks are retained separately by the global +integration work. Frame changes preserve those scalar programs, but do not +replace physical-owner, spectator, wrapper-cost or compiler checks. + +## Reproduction interfaces + +From the repository root, the complete local replay is: + +``` +python3 -B research/larger-gain/providers/reproduce.py \ + --source research/complex-allcold --work /tmp/new-provider-replay +``` + +This first runs the complete immutable PR564 verifier, then reconstructs all +six four-cold and width-seven providers, checks the independent kernel +composition under `-O`, reruns every kernel/static/promotion omission control +on the four-cold words and each new kernel omission on width-seven words, +and performs native, reflected-ledger, independent-replay, normalized-wrapper +and complete phase checks. It compares deterministic core outputs against the +retained words. `RESULT.json` and `RECEIPT.json` record the results, input/code +hashes and exact commands. Global hosting and recurrence checks are separate. + +The inherited static44 omission script locates corrections by matching their +original gate frames, so it cannot be applied directly after frame promotion. +`audit_frame_promotions.py`, run under `-O`, independently binds all scalar +operations, coefficients and order, fixed centers/ports, and the only permitted +entrance changes. It transfers the fresh four-cold scalar omission receipts +by exact scalar identity and rejects three mutations. This does not replace +the fresh width-seven frame, native, wrapper or phase checks. + +`--baseline /path/to/verified-pr564` reuses a complete prior PR564 replay after +checking the pinned source inventory, baseline receipt and artifacts, actual +raw-provider content hashes from immutable recipes, static selection and +promotion recipes. It does not reuse any of the six new local verifications. + +The research constructors also accept explicit input paths and require fresh +output directories: + +``` +python3 -B build_suffix_kernels.py --word INPUT/FULL-WORD.json.gz \ + --gk-dir SOURCE/vendor/pr558/vendor/pr552/complex-local/static44/gk \ + --recipe recipes/eight/kernel-0.json --recipe recipes/eight/kernel-1.json \ + --recipe recipes/eight/kernel-2.json --out FOUR_COLD_WORD + +python3 -B build_entrance_promotions.py --word FOUR_COLD_WORD/FULL-WORD.json.gz \ + --recipes width7/eight/RECIPES.json \ + --gk-dir SOURCE/vendor/pr558/vendor/pr552/complex-local/static44/gk \ + --out WIDTH7_WORD +``` + +Use matching zero/four recipes for those suppliers. `reproduce.py` supplies +the pinned native and phase command paths for the resulting words. + +## Search boundaries and other candidates + +All discovery reports are in `discovery/`; the scripts accept explicit input +and output paths. None is used as a substitute for native admission. + +| Screen | Exact scope and result | +| --- | --- | +| Fixed B suffixes | Every cut and every available non-target donor;152,769 rational span queries on eight at ranks1–3. Forty-four presentations were found, all rank one. Zero/four each had142,609 queries at ranks1–2 and recovered the timing-adjusted kernels. | +| Fixed A suffixes |464,275 exact queries on the four-cold word, with untouched pivots and entrance ranks at most3; no relation. | +| Raised donor bases |355,969 rank-two and152,400 rank-three exact B queries, allowing all future-frame joins under the fixed output caps. Twelve rank-two presentations were found; none at rank three. Their complete local frame costs were recorded. | +| Protected source exchanges | All original data columns and existing entering-helper columns protected exactly.146 legal scalar source exchanges were found; all were profile-neutral. All60 nonempty exchange subsets inside the four cold pairs were checked with22,560 further rank-two span queries. | +| Entrance extensions | All216 entrances tested against exact dependency-graph upper bounds.108 one-dimensional covers were admissible;5,778 distinct entrance pairs were repriced from their shared chain edges. | +| Dense output basis | Clone-free ordinary reads in the current pairwise output basis fail896/896 necessary frame inclusions. A full tetrahedron Walsh4 basis fails448/448: its dense intermediate coordinates require the common rank-six output hyperplane, which excludes each relevant unchanged packet frame. | + +Some reports retain a discovery field named `optimistic_entropy_gain`. It is +only a simple rank48 marginal-credit proxy, **not an upper bound after packing +is reorganized**. The width-seven candidate is the concrete counterexample to +using that proxy as a rejection test: a locally expensive width exchange can +enable better bin patterns. Exact capacity pricing and literal hosting must +decide its value. + +`promotions/` retains native-checked alternatives: all32 or all60 width-seven +promotions,40 or48 extra width-four promotions, and their tested combinations. +The40 width-four promotions share frame costs in groups of four, but their +aggregate profile lies on the familiar affine rank-five-promotion family. +The root research receipts price each alternative against the relevant +capacity relaxation; standalone local entropy does not establish a global +improvement. Only the three `width7/` providers received complete phase replay +in this directory. + +## Tensor geometry screen + +The exact prototype identity is +`dot(p_s,p_t) = 1 + dot(r_s,r_t)/2 (mod2)`. Literal binary tensor labels preserve +the required orthogonality because their dot product is the product of the +factor dot products. Their binary Gram rank is exactly `9^s`, so that literal +Gram cannot be represented in fewer than `9^s` binary dimensions. + +A stronger geometry-independent obstruction within the full Cartesian tensor +port set comes from an explicitly checked eight-clique of mutually orthogonal +odd labels. Its tensor power gives `8^s` independent odd orthogonal labels, +forcing `h >= 8^s` for any compatible encoding. A constant-augmented direct +sum fails already for two adjacent factor pairs: the real tensor coefficient +is1/4 but the binary dot product is1. + +For s=2 there are 12,544 ports and 64 real centers. Ignoring every helper and +compiler cost, **data alone** contributes at least `2(h-1) >= 126` frame mass +per port in any compatible encoding. For literal product coordinates, each +center's support spans a tensor product of two rank-eight hyperplanes, so its +rank is 64, not 80. The exact literal data-plus-center mass per port is +`160 + 64*64/12544 = 160.3265`, versus 16.5714 for the base word. No center-rank +lower bound is claimed for arbitrary compatible encodings. This is a data-frame-depth +obstruction to a cheap tensor lift, **not a universal κ bound**. A different +port subset, outer code, packet factorization or analytic construction remains +outside the screen. `tensor_geometry_screen.py` verifies the finite identities +and clique witness; `discovery/tensor_geometry.json` retains its receipt. + +The clone-removal screens likewise preserve the original packet factory and +packet sums. They do not exclude a joint packet/output-basis redesign. Such a +redesign must move packet source frames into the required output intersections, +not merely replace pairwise matrices by a dense Walsh transform. + +## Next structural search: jointly select kernel and donor bases + +The completed screens do **not** rule out a better simultaneous choice of +entrance kernels, donor bases and gauge bases. They keep the literal scalar +word fixed, except for the explicitly enumerated source exchanges and inserted +suffix kernels. `screen_response_nullity.py` computes the exact rational rank +of the current four-cold eight-provider dirty-response matrix: rank 98 among +504 helper columns, hence nullity 406. Of these, 216 are already zero-response +coordinate axes; the other 288 columns have nullity 190. The receipt is +`discovery/response_nullity.json`. These are algebraic dimensions, not 190 +additional frame-legal entrances. + +A concrete next algorithm is a bounded simultaneous basis exchange: + +1. Freeze the center, scalar cut and target basis initially. Reconstruct the + exact suffix response matrix at that cut. Enumerate candidate entrance + frames E of rank one, two and three from actual first-frame intersections. + For a fixed eligible helper set S, require each donor's current frame to + lie inside E and E to lie inside its next fixed frame cap; a new pivot must + also be untouched before the selected cut. Choosing response-independent + donor columns inside a fixed eligible set is a linear-matroid basis problem. The + ideal unconstrained kernel dimension is `|S| - rank(C_S)`. +2. Enumerate small exact response circuits and their alternative pivots. Keep + only dyadic coefficients, recording every scalar addition and its cleanup. + Rational independence alone is insufficient: changing a donor basis can + introduce denominators with odd factors. Initially unlock two to four + existing entrances in one connected donor-overlap component and allow + simultaneous replacement by rank-two or rank-three entrances. +3. Select circuit recipes with binary variables. A helper has at most one + selected pivot role; pivot/donor and pivot/gauge conflicts are forbidden + unless an explicitly ordered triangular scalar realization is included. + Reused donor frames must form chains. Preserve cut restrictions, data and + center locks, target frames and final caps. Gauge choices require their own + literal scalar transformations and cannot be treated as free relabelings. +4. Price **shared frame states**, not a sum of independently priced recipes. + Each affected gate gets one admissible frame-state variable, with only + legal nested transitions along every register chain. Transition variables + count each paid H-rank once, and endpoint states determine the ordered + residual widths. Scalar count, coefficient size, cleanup, compensation and + eventual phase costs remain charged. The current capacity dual can rank + candidate profile/width changes during discovery; final exact moments and + a literal owner assignment decide admission. + +Matroid intersection can help the fixed-frame donor subproblem, but it does +not by itself solve the coupled problem: frame joins, gauge conflicts and +non-additive shared transitions need discrete state constraints. A small +circuit-selection MILP with exact rational verification is a practical first +experiment. Any selected solution must be reconstructed as a complete scalar +word, then pass the same native/phase/omission checks and global admission. +This search could exchange several old entrances for fewer, deeper ones or +share donor work, changing the local cost curve instead of repeating the +already priced affine entrance promotions. It remains prospective. diff --git a/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/providers/width7/eight/FULL-WORD.json.gz b/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/providers/width7/eight/FULL-WORD.json.gz new file mode 100644 index 0000000000..d4f2dae828 Binary files /dev/null and b/research/legacy-packet-limits/source/frontier/refresh-7/proposals/569/providers/width7/eight/FULL-WORD.json.gz differ diff --git a/research/legacy-packet-limits/source/packet-joint-basis/PROOF.md b/research/legacy-packet-limits/source/packet-joint-basis/PROOF.md new file mode 100644 index 0000000000..d154bc1350 --- /dev/null +++ b/research/legacy-packet-limits/source/packet-joint-basis/PROOF.md @@ -0,0 +1,85 @@ +# Joint partial basis and center cut screen + +Result: no helper count reduction in the stated finite family. The least +inventory is 36 helpers per Hamming block, or 504 for fourteen blocks. +No new scalar word, arbitrary-dirt check, owner plan or kappa is supplied. + +## Contract + +Keep the 16-helper packet factory and its twelve second face copies. Stop +after the first forty factory operations. Each tetrahedron has twelve +two-source partial directions in existing registers. Choose any four +independent directions for its own-output query basis Q. If O is the +four-by-four own-block response, the output basis is K = O Q^-1. +Thus K Q = O exactly. Row order and nonzero row scaling change no support +or component in this screen. + +Restore each connected output component of K once. An early source query +for that component must lie in all final output hyperplanes of the component. +The screen allows early face functions to be recombined. It does not keep +the old individual early reads as a restriction. The twelve face keys have +disjoint source supports, so a combination of different face keys cannot +cancel an excluded source coefficient. The late delivery still uses the +current ordinary pair operator and its clone slots. + +For centers, use only donors retired by face assemblies that do not touch +the eight protected own-output carriers. The remaining face operations are +disjoint. A missing independent center direction is assigned one new carrier +in the inventory relaxation. This is a favorable model for that restricted +early center interface. It is not a general lower bound for productive +source storage, a different factory or arbitrary center programs. + +## Exact finite result + +For each tetrahedron, all 495 four-direction subsets are checked over Q. +Exactly 315 are independent. Of these, 312 connect all four outputs. None +can receive an early cross-block packet. Every cross source has two nonzero +and two zero Gram entries against the four orthogonal roots. Its binary +port is therefore outside their common output cap. This is a clean-source +obstruction, which remains necessary when helpers have arbitrary dirt. + +The other three bases have two components of size two. They are the three +coordinate partitions. Each permits four early face keys. All fourteen +literal Hamming blocks give the same basis counts. + +Only these paired bases can permit more than four early keys in the union +of both tetrahedra. All nine combinations in each block are checked. A +different partition on the two tetrahedra leaves four ordinary clone slots +and four independent missing center directions. Its optimistic count is +16 + 12 + 4 + 4 = 36. An equal partition leaves eight ordinary clone slots. +The current first partition has no center deficit and count 36. The other +two equal partitions have a one-direction deficit and count 37. Every case +with a four-output component leaves at least eight ordinary clone slots +even when its center carriers are free, so its count is at least 36. + +Coverage is fourteen blocks, 13,860 partial subsets, 8,820 independent bases +and 126 paired center cases. The primary checker uses Fraction arithmetic. +The second checker uses SymPy exact matrices, determinant tests and graph +closure. It checks every basis count and every paired center quotient rank. + +This counts carrier slots in the declared template. It does not prove that +an arbitrary late packet implementation needs the old clone slots. It also +does not exclude a better paid profile with the same helper count. + +## Payment and verification boundary + +The current pinned PR569 eight-provider still has 504 helpers and paid profile +`{1:2352, 2:592, 3:328, 4:192, 5:56, 6:56, 8:8}`. The screen saves no path +and supplies no replacement operator. None of its costs is removed from an +invoice. No scalar, dirty-helper, native frame, phase, owner or asymptotic +gain is claimed. + +One packet row has source frame rank five. A complete ordinary output row +combines four packet rows and has source frame rank seven. These are different +rows at the same packet boundary. The exploratory probe records both. + +The next open degree of freedom is a joint late operator that replaces the +ordinary pair deliveries, or a staged output restoration with new packet +functions and actual shared source storage. Arbitrary rational mixed bases, +nonmonotone paths and productive ownership are outside this enumeration. +They need a complete new scalar and frame program, including arbitrary dirt +and all replacement costs. This experiment does not say they will succeed. + +Prepared with OpenAI Codex assistance. The source packet factory retains +the notices in PR531 and its PR514/507/425/433 ancestry. PR569 is by Dominik +Scholz and builds on PR564 by eumemic. No source package was changed. diff --git a/research/legacy-packet-limits/source/packet-joint-basis/SOURCE-PINS.json b/research/legacy-packet-limits/source/packet-joint-basis/SOURCE-PINS.json new file mode 100644 index 0000000000..e71812406d --- /dev/null +++ b/research/legacy-packet-limits/source/packet-joint-basis/SOURCE-PINS.json @@ -0,0 +1,52 @@ +{ + "PR531": { + "commit": "e07a8a3f9f79c22113398a0c5dbbc7601f489b3e", + "role": "Literal retained Hamming packet factory" + }, + "PR569": { + "commit": "1424da81263a5305b35e4cf74ef686c275f03f3f", + "role": "Current reported provider; separate full replay" + }, + "PR564": { + "commit": "c18417b02b80594b2ca1c8c21185d28befafc935", + "role": "External PR569 dependency; root reproduced separately" + }, + "PR509": { + "commit": "7b9c720ecc9f483c383e7cd9c2ab81f06ee5df59", + "role": "Merged stream lemma; no new numerical kappa claim" + }, + "files": { + "baseline535/source531/research/direct-delivery504-global/inputs/hamming/PROTOTYPE.json": { + "sha256": "327d2a868043e846381aa58a33053c24425e8cad522ff401b10ec8af1d649a3f", + "bytes": 358962 + }, + "baseline535/source531/research/direct-delivery504-global/inputs/hamming/PACKET-PROGRAMS.json.gz": { + "sha256": "d833ae0390d165d7da0c639a3c7aeb77156c2ddb52447087cb49b9d03b19e9b9", + "bytes": 3400 + }, + "baseline535/source531/research/direct-delivery504-global/code/construct_504.py": { + "sha256": "a0d96ede40b957c38dcb64296d5f4a76c23dfb8c8875e01a80b5f1bdf6e8360e", + "bytes": 15280 + }, + "baseline535/source531/research/direct-delivery504-global/proof/LOCAL-CONSTRUCTION.md": { + "sha256": "3b1fc44f6f8290361cb24526cf91c3174c734f5da3cc9fb94559a96168d39e70", + "bytes": 12497 + }, + "frontier/refresh-7/proposals/569/providers/width7/eight/FULL-WORD.json.gz": { + "sha256": "6f99cffd73076a768d39c21bf97ced42b6a5d3228b1dcef79d6f072dd35c0ee5", + "bytes": 36690 + }, + "frontier/refresh-7/proposals/569/providers/README.md": { + "sha256": "c5100ca87a9d3cea874779e040650377dcbcd2927bae96c34633bea27e526f6f", + "bytes": 13735 + }, + "frontier/refresh-7/proposals/569/geometry/HELPER-TARGETS.md": { + "sha256": "47690a24f856394db5959d52e610d417b84e5e28a770b9f30c9d2b8dfbffe8cb", + "bytes": 4382 + }, + "frontier/refresh-7/proposals/569/MANIFEST.json": { + "sha256": "73c186c2807c703e43293c7cf785557a046958c245fa812e433f7fe208cdef6d", + "bytes": 40559 + } + } +} diff --git a/research/legacy-packet-limits/source/packet-joint-basis/check.py b/research/legacy-packet-limits/source/packet-joint-basis/check.py new file mode 100644 index 0000000000..58f411242c --- /dev/null +++ b/research/legacy-packet-limits/source/packet-joint-basis/check.py @@ -0,0 +1,264 @@ +#!/usr/bin/env python3 +"""Check a joint partial basis and early center cut with exact arithmetic. + +Prepared with OpenAI Codex assistance. This is a finite search result. +It is not a new scalar supplier or a kappa certificate. +""" +import argparse +from collections import Counter +from fractions import Fraction as Q +import gzip +import hashlib +from itertools import combinations +import json +from pathlib import Path +import time + + +def require(ok, message): + if not ok: + raise ValueError(message) + + +def binary_basis(vectors): + result = {} + for vector in vectors: + for pivot in sorted(result, reverse=True): + if vector >> pivot & 1: + vector ^= result[pivot] + if vector: + pivot = vector.bit_length()-1 + for old in result: + if result[old] >> pivot & 1: + result[old] ^= vector + result[pivot] = vector + return tuple(result[pivot] for pivot in sorted(result, reverse=True)) + + +def inside(small, large): + return binary_basis(small+large) == large + + +def rational_basis(rows): + result = {} + for original in rows: + row = list(map(Q, original)) + for pivot, old in sorted(result.items()): + scalar = row[pivot] + row = [a-scalar*b for a, b in zip(row, old)] + pivot = next((i for i, value in enumerate(row) if value), None) + if pivot is not None: + scalar = row[pivot] + result[pivot] = [value/scalar for value in row] + return result + + +def inverse(matrix): + n = len(matrix) + augmented = [list(map(Q, row))+[Q(i == j) for j in range(n)] + for i, row in enumerate(matrix)] + for column in range(n): + pivot = next(i for i in range(column, n) if augmented[i][column]) + augmented[column], augmented[pivot] = augmented[pivot], augmented[column] + scalar = augmented[column][column] + augmented[column] = [value/scalar for value in augmented[column]] + for i in range(n): + if i != column: + scalar = augmented[i][column] + augmented[i] = [a-scalar*b for a, b in zip(augmented[i], augmented[column])] + return [row[n:] for row in augmented] + + +def product(left, right): + return [[sum(a*b for a, b in zip(row, column)) for column in zip(*right)] for row in left] + + +def components(matrix): + parent = list(range(len(matrix))) + def root(i): + while parent[i] != i: + i = parent[i] + return i + for column in zip(*matrix): + support = [i for i, value in enumerate(column) if value] + for i in support[1:]: + parent[root(i)] = root(support[0]) + groups = {} + for i in range(len(matrix)): + groups.setdefault(root(i), []).append(i) + return list(groups.values()) + + +def main(): + ap = argparse.ArgumentParser(description=__doc__) + ap.add_argument('--run', type=Path, required=True) + ap.add_argument('--out', type=Path, required=True) + args = ap.parse_args() + require(__debug__, 'Assertions must be enabled.') + require(not args.out.exists(), 'Use a new result file.') + started = time.monotonic() + root = args.run.resolve() + data = root/'baseline535/source531/research/direct-delivery504-global/inputs/hamming' + geometry = json.loads((data/'PROTOTYPE.json').read_text()) + modules = json.loads(gzip.decompress((data/'PACKET-PROGRAMS.json.gz').read_bytes())) + ports, roots = geometry['binary_ports'], geometry['root_lines'] + all_blocks = [tuple(module['receipt']['block']) for module in modules] + result = [] + negative_control = None + for module in modules: + block = tuple(module['receipt']['block']) + ids = module['receipt']['source_lines'] + rows = [[Q(i == j) for j in range(8)] if i < 8 else [Q(0)]*8 for i in range(24)] + frames = [(ports[source],) for source in ids]+[()]*16 + for event, frame in list(zip(module['events'], module['event_frames']))[:40]: + target, source, a, b = event + frame = binary_basis(tuple(frame)) + require(inside(frames[target], frame) and inside(frames[source], frame), + 'The inherited partial program has an invalid frame.') + scalar = Q(a, b) + rows[target] = [x+scalar*y for x, y in zip(rows[target], rows[source])] + frames[target] = frames[source] = frame + late = module['events'][40:] + require(len(late) == 12 and sorted(i for event in late for i in event[:2]) == list(range(24)), + 'The twelve face assemblies are not disjoint.') + tetrahedra = [[source for source in ids if sum(roots[source][i] < 0 for i in block)%2 == parity] + for parity in range(2)] + keys = [(pair, sign) for pair in combinations(block, 2) for sign in (-1, 1)] + packet_frames, packet_supports = [], [] + for pair, sign in keys: + support = [source for other in all_blocks if other != block and set(pair) <= set(other) + for source in modules[all_blocks.index(other)]['receipt']['source_lines'] + if roots[source][pair[0]]*roots[source][pair[1]] == sign] + require(len(support) == 8, 'A face sum has the wrong source support.') + packet_supports.append(set(support)) + packet_frames.append(binary_basis(tuple(ports[source] for source in support))) + require(all(not a & b for a, b in combinations(packet_supports, 2)), + 'Different packet keys do not have disjoint source supports.') + candidates = [] + summaries = [] + for parity, targets in enumerate(tetrahedra): + sources = tetrahedra[1-parity] + source_indices = [ids.index(source) for source in sources] + partials = [(register, [rows[register][i] for i in source_indices]) + for register in range(24) + if all(not rows[register][i] for i in range(8) if i not in source_indices)] + require(len(partials) == 12 and all(sum(bool(v) for v in row) == 2 for _, row in partials), + 'The source partial directions have changed.') + own = [[-Q(sum(a*b for a, b in zip(roots[target], roots[source])), 4) + for source in sources] for target in targets] + require(len(rational_basis(own)) == 4, 'The own-block operator is singular.') + own_inverse = inverse(own) + cross = [[-Q(roots[target][pair[0]], 2) + if roots[target][pair[0]]*roots[target][pair[1]] == sign else Q(0) + for pair, sign in keys] for target in targets] + options = [] + component_counts = Counter() + early_counts = Counter() + all_subsets = 0 + for selected in combinations(partials, 4): + all_subsets += 1 + query = [row for _, row in selected] + if len(rational_basis(query)) != 4: + continue + output = product(own, inverse(query)) + output_inverse = product(query, own_inverse) + require(product(output, query) == own, 'The new output basis fails the own identity.') + groups = components(output) + caps = {} + for group in groups: + cap = binary_basis(tuple(x for x in range(1, 512) + if all(not (x & ports[targets[i]]).bit_count()%2 for i in group))) + for j, column in enumerate(zip(*output)): + if any(column[i] for i in group): + caps[j] = cap + require(all(inside(frames[register], caps[j]) for j, (register, _) in enumerate(selected)), + 'The new own partial cannot enter its output component.') + transformed = product(output_inverse, cross) + early = tuple(k for k in range(12) + if all(not transformed[j][k] or inside(packet_frames[k], caps[j]) + for j in range(4))) + require(all(len(group) >= 2 for group in groups), + 'A two-source partial produced a singleton output component.') + require(len(early) <= 4, 'The basis admits a larger early packet set.') + component_counts[tuple(sorted(map(len, groups)))] += 1 + early_counts[len(early)] += 1 + options.append(dict(registers=tuple(register for register, _ in selected), + early=early, components=tuple(sorted(map(len, groups))))) + if negative_control is None and groups == [list(range(4))]: + forbidden = next((j, k) for j in range(4) for k in range(12) + if transformed[j][k] and not inside(packet_frames[k], caps[j])) + j, k = forbidden + witness = next(source for source in packet_supports[k] + if not inside((ports[source],), caps[j])) + negative_control = dict(block=block, basis_registers=[register for register, _ in selected], + packet_key=k, query=j, source=witness, + actual_source_port=ports[witness], required_cap=caps[j], + relaxed_cap_would_admit_all_keys=12, + real_cap_rejects_this_nonzero_column=True) + candidates.append(options) + summaries.append(dict(tetrahedron=targets, subsets=all_subsets, bases=len(options), + component_counts={str(k): v for k, v in component_counts.items()}, + early_key_counts=dict(early_counts))) + # Only two paired components can have early cross packets. Any other + # basis gives at most four early keys in their union and already needs + # at least eight ordinary clones. Check all remaining pairings. + paired = [[option for option in options if option['components'] == (2, 2)] + for options in candidates] + pair_results = [] + minimum_helpers = 40 + for left in paired[0]: + for right in paired[1]: + protected = set(left['registers']+right['registers']) + early_events = [event for event in late if not protected & set(event[:2])] + retired = [rows[event[1]] for event in early_events] + totals = [[Q(roots[source][coordinate]) for source in ids] for coordinate in block] + rank_before = len(rational_basis(retired)) + center_deficit = len(rational_basis(retired+totals))-rank_before + union = set(left['early']) | set(right['early']) + ordinary_clones = 12-len(union) + helpers = 16+12+ordinary_clones+center_deficit + require(helpers >= 36, 'The joint basis screen found a smaller helper inventory.') + minimum_helpers = min(minimum_helpers, helpers) + pair_results.append(dict(left=left['registers'], right=right['registers'], + early_keys_left=left['early'], early_keys_right=right['early'], + free_face_events=len(early_events), retired_rank=rank_before, + center_rank_deficit=center_deficit, ordinary_clones=ordinary_clones, + optimistic_helpers=helpers)) + require(len(pair_results) == 9 and minimum_helpers == 36, + 'The paired basis family or its minimum has changed.') + result.append(dict(block=block, candidate_bases=summaries, paired_results=pair_results, + minimum_helpers_in_screen=minimum_helpers, + fixed_core_helpers=16, fixed_second_face_copies=12)) + # The aggregate ordinary row and one packet row are different objects. + provider = root/'frontier/refresh-7/proposals/569/providers/width7/eight/FULL-WORD.json.gz' + word = json.loads(gzip.decompress(provider.read_bytes())) + require(word['report']['R'] == 504 and word['report']['v'] == 112, + 'The current provider is not the pinned 504-helper interface.') + report = dict(status='PASS_EXACT_NEGATIVE_JOINT_PARTIAL_BASIS_SCREEN', + elapsed_seconds=round(time.monotonic()-started, 6), + source_pr=569, source_commit='1424da81263a5305b35e4cf74ef686c275f03f3f', + scalar_field='Exact rational arithmetic; the same finite matrices hold over R and C', + prototype_sha256=hashlib.sha256((data/'PROTOTYPE.json').read_bytes()).hexdigest(), + packet_programs_sha256=hashlib.sha256((data/'PACKET-PROGRAMS.json.gz').read_bytes()).hexdigest(), + current_provider_sha256=hashlib.sha256(provider.read_bytes()).hexdigest(), + all_blocks=len(result), total_partial_subsets=sum(x['subsets'] for r in result for x in r['candidate_bases']), + total_independent_bases=sum(x['bases'] for r in result for x in r['candidate_bases']), + both_tetrahedra_partial_bases_reselected=True, + exhaustive_paired_center_cuts=sum(len(r['paired_results']) for r in result), + minimum_per_block_helpers=36, minimum_full_helpers=504, + current_full_helpers=504, helper_paths_saved=0, + dirty_helpers_verified=False, physical_owner_verified=False, + kappa_improvement_claim=False, negative_control=negative_control, blocks=result, + scope='Own rows use four independent existing two-source partials per tetrahedron. ' + 'Each output component is restored once. Existing face functions may be jointly ' + 'refactored before this restoration, but their disjoint SOURCE supports cannot ' + 'cancel outside the component cap. Center totals use only early retired donors, ' + 'plus one optimistic new carrier per missing scalar direction. The fixed 16-helper ' + 'factory and 12 second face copies remain. This is a necessary feasibility and ' + 'inventory screen, not a lower bound for arbitrary interleaved words.') + args.out.write_text(json.dumps(report, indent=2)+'\n') + print(json.dumps({k: v for k, v in report.items() if k not in ('blocks', 'negative_control')}, indent=2)) + + +if __name__ == '__main__': + main() diff --git a/research/legacy-packet-limits/source/packet-joint-basis/run_checks.py b/research/legacy-packet-limits/source/packet-joint-basis/run_checks.py new file mode 100644 index 0000000000..1e7b285f3b --- /dev/null +++ b/research/legacy-packet-limits/source/packet-joint-basis/run_checks.py @@ -0,0 +1,65 @@ +#!/usr/bin/env python3 +"""Run the frozen packet screen and semantic receipt controls. + +Prepared with OpenAI Codex assistance. +""" +import argparse +import copy +import hashlib +import json +from pathlib import Path +import subprocess +import sys +import time + + +ap = argparse.ArgumentParser(description=__doc__) +ap.add_argument('--run', type=Path, required=True) +ap.add_argument('--work', type=Path, required=True) +args = ap.parse_args() +if not __debug__: + raise SystemExit('Assertions must be enabled.') +root = args.run.resolve() +packet = root/'packet-joint-basis' +if args.work.exists(): + raise SystemExit('Use a new work directory.') +args.work.mkdir(parents=True) +records = [] + + +def run(name, command, expected_exit=0, reason=None): + start = time.monotonic() + result = subprocess.run(command, text=True, capture_output=True, cwd=root) + stdout = args.work/(name+'-stdout.log') + stderr = args.work/(name+'-stderr.log') + stdout.write_text(result.stdout) + stderr.write_text(result.stderr) + records.append(dict(name=name, command=list(map(str, command)), exit_code=result.returncode, + elapsed_seconds=round(time.monotonic()-start, 6), expected_exit=expected_exit, + required_rejection_reason=reason, + stdout_sha256=hashlib.sha256(stdout.read_bytes()).hexdigest(), + stderr_sha256=hashlib.sha256(stderr.read_bytes()).hexdigest())) + if result.returncode != expected_exit or reason and reason not in result.stderr: + raise RuntimeError(name+' failed its command contract') + + +primary = args.work/'RESULT.json' +run('primary', [sys.executable, '-B', str(packet/'check.py'), '--run', str(root), '--out', str(primary)]) +command = [sys.executable, '-B', str(packet/'verify.py'), '--run', str(root)] +run('second-engine', command+['--receipt', str(primary), '--out', str(args.work/'SECOND-ENGINE.json')]) +receipt = json.loads(primary.read_text()) +bad = copy.deepcopy(receipt) +case = next(c for block in bad['blocks'] for c in block['paired_results'] if c['center_rank_deficit'] == 4) +case['center_rank_deficit'] = 0 +mutant = args.work/'BAD-CENTER.json' +mutant.write_text(json.dumps(bad, indent=2)+'\n') +run('bad-center', command+['--receipt', str(mutant), '--out', str(args.work/'invalid-center-result.json')], + 1, 'An unpaid center direction was claimed free.') +bad = copy.deepcopy(receipt) +bad['negative_control']['required_cap'] = [1 << i for i in range(9)] +mutant = args.work/'BAD-FRAME.json' +mutant.write_text(json.dumps(bad, indent=2)+'\n') +run('bad-frame', command+['--receipt', str(mutant), '--out', str(args.work/'invalid-frame-result.json')], + 1, 'The printed output cap includes a forbidden restored direction.') +(args.work/'COMMANDS.json').write_text(json.dumps(records, indent=2)+'\n') +print(json.dumps(dict(status='PASS_CLEAN_REPLAY_AND_SEMANTIC_CONTROLS', commands=len(records)))) diff --git a/research/legacy-packet-limits/source/packet-joint-basis/verify.py b/research/legacy-packet-limits/source/packet-joint-basis/verify.py new file mode 100644 index 0000000000..14b2b439b8 --- /dev/null +++ b/research/legacy-packet-limits/source/packet-joint-basis/verify.py @@ -0,0 +1,129 @@ +#!/usr/bin/env python3 +"""Check the frozen negative receipt with a second exact matrix engine. + +This checker does not import the producer. Prepared with OpenAI Codex. +""" +import argparse +from collections import Counter +from fractions import Fraction +import gzip +from itertools import combinations +import json +from pathlib import Path +import time +import sympy as sp + + +def require(ok, message): + if not ok: + raise ValueError(message) + + +def main(): + ap = argparse.ArgumentParser(description=__doc__) + ap.add_argument('--run', type=Path, required=True) + ap.add_argument('--receipt', type=Path, required=True) + ap.add_argument('--out', type=Path, required=True) + args = ap.parse_args() + require(__debug__, 'Assertions must be enabled.') + require(not args.out.exists(), 'Use a new result file.') + started = time.monotonic() + data = args.run/'baseline535/source531/research/direct-delivery504-global/inputs/hamming' + geometry = json.loads((data/'PROTOTYPE.json').read_text()) + modules = json.loads(gzip.decompress((data/'PACKET-PROGRAMS.json.gz').read_bytes())) + receipt = json.loads(args.receipt.read_text()) + roots, ports = geometry['root_lines'], geometry['binary_ports'] + checked = [] + for module, row in zip(modules, receipt['blocks'], strict=True): + ids = module['receipt']['source_lines'] + block = module['receipt']['block'] + matrix = sp.Matrix.vstack(sp.eye(8), sp.zeros(16, 8)) + for target, source, numerator, denominator in module['events'][:40]: + matrix[target, :] += sp.Rational(numerator, denominator)*matrix[source, :] + subsets, independent = 0, 0 + for parity, expected in enumerate(row['candidate_bases']): + targets = [s for s in ids if sum(roots[s][i] < 0 for i in block)%2 == parity] + sources = [s for s in ids if s not in targets] + source_columns = [ids.index(s) for s in sources] + candidates = [i for i in range(24) + if all(not matrix[i, j] for j in range(8) if j not in source_columns)] + require(len(candidates) == 12, 'The literal partial row set has changed.') + own = sp.Matrix([[-sp.Rational(sum(a*b for a, b in zip(roots[t], roots[s])), 4) + for s in sources] for t in targets]) + classes = Counter() + for registers in combinations(candidates, 4): + subsets += 1 + query = matrix.extract(registers, source_columns) + if not query.det(): + continue + independent += 1 + output = own*query.inv() + # Connected components are found by graph closure, rather + # than the producer's disjoint-set routine. + adjacency = [{i} for i in range(4)] + for j in range(4): + support = {i for i in range(4) if output[i, j]} + for i in support: + adjacency[i] |= support + while True: + expanded = [set.union(*(adjacency[j] for j in group)) for group in adjacency] + if expanded == adjacency: + break + adjacency = expanded + components = set(map(frozenset, adjacency)) + sizes = tuple(sorted(map(len, components))) + classes[sizes] += 1 + require(sizes in ((2, 2), (4,)), 'A new output component type has appeared.') + for component in components: + if len(component) == 4: + # Every other non-disjoint Hamming block meets this + # block in two coordinates. A cross source has two + # nonzero Gram entries and two zero entries against + # an orthogonal tetrahedron, so no such source can + # enter the common binary output cap. + for other in modules: + if len(set(other['receipt']['block']) & set(block)) != 2: + continue + for s in other['receipt']['source_lines']: + dots = [sum(a*b for a, b in zip(roots[s], roots[t])) for t in targets] + require(sum(bool(x) for x in dots) == 2, 'The cross-source support count is wrong.') + require(any((ports[s] & ports[t]).bit_count()%2 for t in targets), + 'A cross source entered the full output cap.') + require(expected['component_counts'] == {str(k): v for k, v in classes.items()}, + 'The producer component counts are wrong.') + require(subsets == 990 and independent == 630, 'The exact basis count is wrong.') + for claimed in row['paired_results']: + protected = set(claimed['left']+claimed['right']) + donors = [event[1] for event in module['events'][40:] + if not protected & set(event[:2])] + retired = matrix.extract(donors, range(8)) + totals = sp.Matrix([[roots[s][i] for s in ids] for i in block]) + deficit = retired.col_join(totals).rank()-retired.rank() + require(deficit == claimed['center_rank_deficit'], 'An unpaid center direction was claimed free.') + checked.append(dict(block=block, subsets=subsets, bases=independent, center_cases=len(row['paired_results']))) + # These controls alter mathematical claims, not input hashes or paths. + case = next(claim for block in receipt['blocks'] for claim in block['paired_results'] + if claim['center_rank_deficit'] == 4) + require(case['optimistic_helpers']-case['center_rank_deficit'] == 32, + 'The no-cost center mutation did not reach its false lower inventory.') + control = receipt['negative_control'] + require(all(not (vector & ports[target]).bit_count()%2 + for vector in control['required_cap'] + for target in receipt['blocks'][0]['candidate_bases'][0]['tetrahedron']), + 'The printed output cap includes a forbidden restored direction.') + require(any((ports[control['source']] & ports[t]).bit_count()%2 + for t in receipt['blocks'][0]['candidate_bases'][0]['tetrahedron']), + 'The dense output frame control does not reject a real source column.') + controls = [dict(name='Remove four required center directions', rejected=True, + reason='Exact quotient rank is four, rather than zero'), + dict(name='Replace the dense output cap by the full frame', rejected=True, + reason='A required source port has nonzero binary pairing with a restored output')] + args.out.write_text(json.dumps(dict(status='PASS_SECOND_EXACT_ENGINE', elapsed_seconds=round(time.monotonic()-started, 6), + blocks=checked, controls=controls, sympy_version=sp.__version__, + source_helpers_arbitrary_state_checked=False, kappa_gain=False), indent=2)+'\n') + print(json.dumps(dict(status='PASS_SECOND_EXACT_ENGINE', blocks=len(checked), controls=len(controls), + elapsed_seconds=round(time.monotonic()-started, 6)))) + + +if __name__ == '__main__': + main() diff --git a/research/legacy-packet-limits/source/productive-joint-research/EIGHT-DELAYED-INJECTION.json b/research/legacy-packet-limits/source/productive-joint-research/EIGHT-DELAYED-INJECTION.json new file mode 100644 index 0000000000..8d83049235 --- /dev/null +++ b/research/legacy-packet-limits/source/productive-joint-research/EIGHT-DELAYED-INJECTION.json @@ -0,0 +1,2062 @@ +{ + "status": "PASS_EXACT_DELAYED_INJECTION_NECESSARY_COST_SCREEN", + "source_PR": 564, + "source_head": "c18417b02b80594b2ca1c8c21185d28befafc935", + "word_sha256": "6bf22cadf4a4669458bfd9e8dd7dab80d8502595e52fc36acb60e9148f9fe93f", + "word_payload_sha256": "ff8d67b0c8fbfbd13b1c8ab25032af446b09ef280a43d2b61a74f2bd558d7940", + "script_sha256": "bc61bd242523f15982cdb8474b9cee7b332a07d8c6be170109371d69d227564a", + "B_gates": 1893, + "TARGET_climb_cuts": 544, + "cuts_checked": 2438, + "old_private_transition_rank_sum": 64, + "lower_bound_with_independent_center_cuts": 64, + "best_common_cut": { + "B_prefix_length": 0, + 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Its TARGET block is invertible, since each TARGET-only add/scale is invertible. For the same saved center value, moving injection through a B prefix multiplies the injection column by that prefix TARGET block. All other columns stay fixed. Any literal copy path must visit the actual frames of every nonzero transported target. The canonical transition distance is dimF+dimG-2dim(F intersect G). Its triangle inequality permits removal of intermediate frames and gives a minimum spanning tree on the start and served frames as a lower bound. Separate center cuts, arbitrary target order and arbitrary intermediate frames are granted. Holding copies, physical owners, ordinary operations, wrappers and fresh dirt interfaces have no negative price and are omitted.", + "scope": "Each original center value is held without changing its scalar value and injected at one literal B cut. The private case uses one copy. The productive case grants a free same-frame exchange into a carrier that has frame8 at the old cut and must exit FULL9; its old remaining rank1 completion is credited. The unchanged B word and actual TARGET frames remain. The productive scalar exchange and arbitrary-dirt endpoint are not asserted to exist. This does not exclude split injections, new TARGET words, a joint productive operator, a new SOURCE basis or another controller. A lower bound below64 is a screen only, not a verified gain." +} diff --git a/research/legacy-packet-limits/source/productive-joint-research/FOUR-DELAYED-INJECTION.json b/research/legacy-packet-limits/source/productive-joint-research/FOUR-DELAYED-INJECTION.json new file mode 100644 index 0000000000..f3e3724b13 --- /dev/null +++ b/research/legacy-packet-limits/source/productive-joint-research/FOUR-DELAYED-INJECTION.json @@ -0,0 +1,2062 @@ +{ + "status": "PASS_EXACT_DELAYED_INJECTION_NECESSARY_COST_SCREEN", + "source_PR": 564, + "source_head": "c18417b02b80594b2ca1c8c21185d28befafc935", + "word_sha256": "d8b15de893feb4f0c93b456341a43e34aea7ffd0b3044a6d5ad44ac9efaa6d72", + "word_payload_sha256": "23802c1cd35143aa21b6699cee2805013c9e042eaef8b3ad63d18f6d0a45e794", + "script_sha256": "bc61bd242523f15982cdb8474b9cee7b332a07d8c6be170109371d69d227564a", + "B_gates": 1893, + "TARGET_climb_cuts": 544, + "cuts_checked": 2438, + "old_private_transition_rank_sum": 64, + 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Its TARGET block is invertible, since each TARGET-only add/scale is invertible. For the same saved center value, moving injection through a B prefix multiplies the injection column by that prefix TARGET block. All other columns stay fixed. Any literal copy path must visit the actual frames of every nonzero transported target. The canonical transition distance is dimF+dimG-2dim(F intersect G). Its triangle inequality permits removal of intermediate frames and gives a minimum spanning tree on the start and served frames as a lower bound. Separate center cuts, arbitrary target order and arbitrary intermediate frames are granted. Holding copies, physical owners, ordinary operations, wrappers and fresh dirt interfaces have no negative price and are omitted.", + "scope": "Each original center value is held without changing its scalar value and injected at one literal B cut. The private case uses one copy. The productive case grants a free same-frame exchange into a carrier that has frame8 at the old cut and must exit FULL9; its old remaining rank1 completion is credited. The unchanged B word and actual TARGET frames remain. The productive scalar exchange and arbitrary-dirt endpoint are not asserted to exist. This does not exclude split injections, new TARGET words, a joint productive operator, a new SOURCE basis or another controller. A lower bound below64 is a screen only, not a verified gain." +} diff --git a/research/legacy-packet-limits/source/productive-joint-research/HANDOFF.md b/research/legacy-packet-limits/source/productive-joint-research/HANDOFF.md new file mode 100644 index 0000000000..501c5c58c6 --- /dev/null +++ b/research/legacy-packet-limits/source/productive-joint-research/HANDOFF.md @@ -0,0 +1,36 @@ +# Delayed center injection checkpoint + +No new word or kappa gain was found. This screen keeps each old center value, +one held copy per center, the existing B decoder and its actual TARGET frames. +It permits a different cut and delivery order for each center, then removes +storage, owner, wrapper and ordinary costs from the lower bill. + +- Zero: 2438 cuts; private rank lower bound 64; productive extra rank lower bound 128. +- Four: 2438 cuts; private rank lower bound 64; productive extra rank lower bound 128. +- Eight: 2438 cuts; private rank lower bound 64; productive extra rank lower bound 128. + +The canonical transition metric is dim(F)+dim(G)-2dim(F intersect G). +A route that visits every served frame has cost at least the minimum spanning +tree on those frames and its start. The screen uses this necessary bound. +A late cut can reduce the support, but its surviving TARGET frames differ. +The endpoint-only relaxation omitted that visiting cost and suggested rank16. +It was not a construction. That failed hint remains saved separately. + +The first checker propagates the correction through B and uses Prim's tree +algorithm. The second checker starts at the full decoder R/4, moves backwards, +uses literal binary subspace point sets and Kruskal's tree algorithm. The root +read the argument and reran the second method with exit0. Omission of the first +cut term gives a nonzero output in each provider. This is a finite, canonical +frame screen. It does not close split injections, shared carriers, a new B word, +a joint SOURCE/TARGET operator, different tags or a new controller. The proposed +productive scalar exchange was relaxed for a lower bound; it was not built. + +Run from the autonomous run directory: + + venv/bin/python -B productive-joint-research/check_delayed_injection.py + +The provider screen accepts --word and --out; each receipt binds its exact word +and checker. Source inputs come from eumemic's PR564 at +c18417b02b80594b2ca1c8c21185d28befafc935. The labelled-stream framework is from +DreamingOfClouds's PR509 and its credited predecessors. No phase, all-size or +host proof is added. Prepared with OpenAI Codex assistance. 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"102": 16, + "103": 2, + "104": 52, + "105": 2, + "106": 16, + "107": 2, + "108": 16, + "109": 2, + "110": 16, + "111": 2, + "112": 10 + } + ], + "seconds": 0.6878887917846441, + "argument": "The B background never reads a TARGET. Its TARGET block is invertible, since each TARGET-only add/scale is invertible. For the same saved center value, moving injection through a B prefix multiplies the injection column by that prefix TARGET block. All other columns stay fixed. Any literal copy path must visit the actual frames of every nonzero transported target. The canonical transition distance is dimF+dimG-2dim(F intersect G). Its triangle inequality permits removal of intermediate frames and gives a minimum spanning tree on the start and served frames as a lower bound. Separate center cuts, arbitrary target order and arbitrary intermediate frames are granted. Holding copies, physical owners, ordinary operations, wrappers and fresh dirt interfaces have no negative price and are omitted.", + "scope": "Each original center value is held without changing its scalar value and injected at one literal B cut. The private case uses one copy. The productive case grants a free same-frame exchange into a carrier that has frame8 at the old cut and must exit FULL9; its old remaining rank1 completion is credited. The unchanged B word and actual TARGET frames remain. The productive scalar exchange and arbitrary-dirt endpoint are not asserted to exist. This does not exclude split injections, new TARGET words, a joint productive operator, a new SOURCE basis or another controller. A lower bound below64 is a screen only, not a verified gain." +} diff --git a/research/legacy-packet-limits/source/productive-joint-research/check_delayed_injection.py b/research/legacy-packet-limits/source/productive-joint-research/check_delayed_injection.py new file mode 100644 index 0000000000..959ab15148 --- /dev/null +++ b/research/legacy-packet-limits/source/productive-joint-research/check_delayed_injection.py @@ -0,0 +1,182 @@ +"""Check the delay screen with reverse transport and another tree method. + +Use literal subspace point sets and Kruskal's algorithm. Do not import the +screen or the upstream verifier. This is a second method, not a second +human or agent review. Prepared with OpenAI Codex assistance. +""" +from fractions import Fraction as F +from functools import lru_cache +from pathlib import Path +import gzip +import hashlib +import json + +if not __debug__: + raise SystemExit('Run with assertions enabled.') + +HERE = Path(__file__).resolve().parent +RUN = HERE.parent +BASE = RUN/'frontier/refresh-6/replay564-root' +receipts = [] + + +def read(path): + data = path.read_bytes() + return json.loads(gzip.decompress(data) if path.suffix == '.gz' else data) + + +for name in ('zero', 'four', 'eight'): + cp = BASE/(name+'-cold-local/CANONICAL-WORD.json.gz') + rp = BASE/(name+'-cold-word/FULL-WORD.json.gz') + recorded = HERE/(name.upper()+'-DELAYED-INJECTION.json') + w, raw, report = read(cp), read(rp), read(recorded) + assert report['word_sha256'] == hashlib.sha256(cp.read_bytes()).hexdigest() + frames = w['frames'] + assert len(frames[1]) == 9 + assert all(len(frames[f]) == 8 for f in w['center_frames']) + spaces = [] + for frame in frames: + points = {0} + for row in frame: + points |= {p^row for p in points} + assert len(points) == 1 << len(frame) + spaces.append(sum(1 << p for p in points)) + + @lru_cache(None) + def tree(start, used): + vertices = sorted(set(used)|{start}) + edges = [] + for i, a in enumerate(vertices): + for b in vertices[i+1:]: + common = (spaces[a]&spaces[b]).bit_count() + assert common > 0 and common & (common-1) == 0 + distance = len(frames[a])+len(frames[b])-2*(common.bit_length()-1) + edges.append((distance, a, b)) + parent = {v: v for v in vertices} + + def find(v): + while parent[v] != v: + v = parent[v] + return v + + total = 0 + for distance, a, b in sorted(edges): + a, b = find(a), find(b) + if a != b: + parent[a] = b + total += distance + return total + + centers = {r: i for i, r in enumerate(w['centers'])} + initial = [[F(0)]*8 for _ in range(112)] + for op in w['cut']: + initial[op[1]-112][centers[op[2]]] += F(op[3], op[4]) + vector = [row.copy() for row in initial] + current = w['start'].copy() + for op in w['A']: + for r in [op[1]]+([op[2]] if op[0] == 'add' else []): + current[r] = op[-1] + events = [] + for op in w['B']: + assert op[0] in ('add', 'scale') + for r in [op[1]]+([op[2]] if op[0] == 'add' else []): + old = current[r] + current[r] = op[-1] + if old != current[r] and 112 <= r < 224: + events.append(('frame', r-112, old, current[r])) + if 112 <= op[1] < 224: + t = op[1]-112 + if op[0] == 'scale': + q = F(op[2], op[3]) + vector[t] = [q*x for x in vector[t]] + elif 112 <= op[2] < 224: + q, s = F(op[3], op[4]), op[2]-112 + vector[t] = [x+q*y for x, y in zip(vector[t], vector[s])] + else: + assert op[2] < 112 or op[2] >= 224 + events.append(('scalar', op)) + # Bind the transported object to the literal complete decoder, not + # only to a numerical rank or a frame histogram. + tau = lambda x: x ^ (43 if (x&43).bit_count()%2 else 0) + expected = [[F(0)]*8 for _ in range(112)] + for port, root in zip(raw['ports'], raw['root_lines']): + expected[w['ports'].index(tau(port))] = [F(x, 4) for x in root] + assert vector == expected + omitted = [row.copy() for row in initial] + first = w['cut'][0] + omitted[first[1]-112][centers[first[2]]] -= F(first[3], first[4]) + for op in w['B']: + if not 112 <= op[1] < 224: + continue + t = op[1]-112 + if op[0] == 'scale': + q = F(op[2], op[3]) + omitted[t] = [q*x for x in omitted[t]] + elif 112 <= op[2] < 224: + q, s = F(op[3], op[4]), op[2]-112 + omitted[t] = [x+q*y for x, y in zip(omitted[t], omitted[s])] + differences = sum(a != b for x, y in zip(omitted, expected) for a, b in zip(x, y)) + assert differences > 0 + best = [1000]*8 + productive_best = [1000]*8 + count = 0 + target_frames = current[112:224] + + def examine(): + values, productive = [], [] + for k in range(8): + used = tuple(sorted({target_frames[t] for t in range(112) if vector[t][k]})) + assert used + start = w['center_frames'][k] + values.append(tree(start, used)) + through = [] + for f in used: + intersection = (spaces[start]&spaces[f]).bit_count().bit_length()-1 + through.append(17-2*intersection) + bound = max(tree(start, tuple(sorted(set(used)|{1}))), max(through)) + bound += (1-bound)%2 + productive.append(bound-1) + return values, productive + + values, productive = examine() + best = [min(x, y) for x, y in zip(best, values)] + productive_best = [min(x, y) for x, y in zip(productive_best, productive)] + common = sum(values) + count += 1 + for event in reversed(events): + if event[0] == 'frame': + _, t, old, new = event + assert target_frames[t] == new + target_frames[t] = old + else: + op = event[1] + if 112 <= op[1] < 224: + t = op[1]-112 + if op[0] == 'scale': + q = F(op[3], op[2]) + vector[t] = [q*x for x in vector[t]] + elif 112 <= op[2] < 224: + q, s = F(-op[3], op[4]), op[2]-112 + vector[t] = [x+q*y for x, y in zip(vector[t], vector[s])] + values, productive = examine() + best = [min(x, y) for x, y in zip(best, values)] + productive_best = [min(x, y) for x, y in zip(productive_best, productive)] + common = min(common, sum(values)) + count += 1 + assert vector == initial and target_frames == [0]*112 + assert count == report['cuts_checked'] + assert best == [x['lower_copy_transition_rank'] for x in report['best_center_cuts']] == [8]*8 + assert common == report['best_common_cut']['lower_copy_transition_rank_sum'] == 64 + assert productive_best == [x['lower_extra_rank'] for x in report['productive_carrier_best_cuts']] == [16]*8 + assert sum(productive_best) == report['productive_carrier_extra_rank_lower_sum'] == 128 + receipts.append(dict(provider=name, cuts_checked=count, center_lower_bounds=best, + common_cut_lower=common, full_decoder_identity='R/4', + productive_carrier_extra_rank_lower_sum=sum(productive_best), + omitted_first_cut_term_nonzero_output_entries=differences, + inputs={str(p.relative_to(RUN)): hashlib.sha256(p.read_bytes()).hexdigest() + for p in (cp, rp, recorded)})) +result = dict(status='PASS_REVERSE_TRANSPORT_POINTSET_KRUSKAL_METHOD', providers=receipts, + script_sha256=hashlib.sha256(Path(__file__).read_bytes()).hexdigest(), + scope='Second algorithm on the same pinned physical words. This is not an independent agent review. It proves only the one-held-copy, one-injection-cut route lower bound; it does not close all productive joint operators.') +(HERE/'DELAYED-INJECTION-SECOND-METHOD.json').write_text(json.dumps(result, indent=2)+'\n') +print(result['status']) diff --git a/research/legacy-packet-limits/source/productive-joint-research/screen_delayed_injection.py b/research/legacy-packet-limits/source/productive-joint-research/screen_delayed_injection.py new file mode 100644 index 0000000000..fbfc186d4c --- /dev/null +++ b/research/legacy-packet-limits/source/productive-joint-research/screen_delayed_injection.py @@ -0,0 +1,182 @@ +"""Screen literal TARGET cuts before constructing a new center schedule. + +The screen gives a lower bound for one saved copy per center. It keeps the +actual B decoder and all TARGET frame changes. It omits positive storage, +owner, coefficient and wrapper costs. It does not admit a new supplier. +Prepared with OpenAI Codex assistance. See HANDOFF.md for source credits. +""" +from collections import Counter +from fractions import Fraction as Q +from functools import lru_cache +from pathlib import Path +import argparse +import gzip +import hashlib +import json +import time + +if not __debug__: + raise SystemExit('Run with assertions enabled.') + +ap = argparse.ArgumentParser(description=__doc__) +ap.add_argument('--word', type=Path, required=True) +ap.add_argument('--out', type=Path, required=True) +args = ap.parse_args() +word_path = args.word.resolve() +w = json.loads(gzip.decompress(word_path.read_bytes())) +v, n = w['v'], 2*w['v']+w['R'] +assert v == 112 and w['h'] == 9 and n == 728 +assert not w['target_levels'] +assert all(not v <= e[2] < 2*v for e in w['B'] + if e[0] == 'add' and not v <= e[1] < 2*v) +frames = w['frames'] +assert len(frames[1]) == 9 +assert all(len(frames[f]) == 8 for f in w['center_frames']) + + +def binary_rank(vectors): + pivots = {} + for x in vectors: + while x: + k = x.bit_length()-1 + if k in pivots: + x ^= pivots[k] + else: + pivots[k] = x + break + return len(pivots) + + +assert all(binary_rank(frame) == len(frame) for frame in frames) +center_at = {r: i for i, r in enumerate(w['centers'])} +z = [[Q(0) for _ in range(8)] for _ in range(v)] +for e in w['cut']: + assert e[0] == 'add' and v <= e[1] < 2*v and e[2] in center_at + z[e[1]-v][center_at[e[2]]] += Q(e[3], e[4]) +original = [row.copy() for row in z] +current = w['start'].copy() +for e in w['A']: + for r in [e[1]] + ([e[2]] if e[0] == 'add' else []): + current[r] = e[-1] +assert all(current[v+t] == 0 for t in range(v)) +assert [current[r] for r in w['centers']] == w['center_frames'] +distances = [[2*binary_rank(frames[f] + frames[g])-len(frames[f])-len(frames[g]) + for g in range(len(frames))] for f in w['center_frames']] +best = [None]*8 +productive_best = [None]*8 +common_best = None +histograms = [Counter() for _ in range(8)] +cut_count = 0 +target_climb_cuts = 0 +started = time.monotonic() + + +@lru_cache(None) +def distance(f, g): + return 2*binary_rank(frames[f]+frames[g])-len(frames[f])-len(frames[g]) + + +@lru_cache(None) +def spanning_tree_lower(start, used): + vertices = set(used)-{start} + nearest = {f: distance(start, f) for f in vertices} + total = 0 + while nearest: + f = min(nearest, key=lambda x: (nearest[x], x)) + total += nearest.pop(f) + for g in nearest: + nearest[g] = min(nearest[g], distance(f, g)) + return total + + +def inspect(index, stage='after_scalar', register=None): + global cut_count, common_best + costs, descriptions = [], [] + for k in range(8): + support = [t for t in range(v) if z[t][k]] + assert support + used = sorted({current[v+t] for t in support}) + # A copy path visits its start and every served frame. Remove any + # other vertices by the triangle inequality. A spanning tree on + # the remaining vertices costs no more than that path. + endpoint_lower = max(distances[k][f] for f in used) + lower = spanning_tree_lower(w['center_frames'][k], tuple(used)) + assert lower >= endpoint_lower + # Grant a free exchange into a productive FULL9-exit carrier at + # the same frame8 cut. Its route must also reach FULL9. Its old + # remaining completion costs one rank unit. A route through any + # served frame gives another exact lower bound. Total path rank + # has the parity of the endpoint dimension difference. + full_route = max(spanning_tree_lower(w['center_frames'][k], tuple(sorted(set(used)|{1}))), + max(distances[k][f]+9-len(frames[f]) for f in used)) + full_route += (1-full_route)%2 + productive = dict(B_prefix_length=index, stage=stage, climbed_register=register, + lower_route_rank_to_FULL9=full_route, + old_remaining_completion_rank=1, + lower_extra_rank=full_route-1) + if productive_best[k] is None or full_route < productive_best[k]['lower_route_rank_to_FULL9']: + productive_best[k] = productive + costs.append(lower) + histograms[k][lower] += 1 + detail = dict(B_prefix_length=index, stage=stage, climbed_register=register, + lower_copy_transition_rank=lower, + endpoint_distance_lower=endpoint_lower, + target_support_size=len(support), served_frame_ids=used, + served_frame_rank_histogram=dict(sorted(Counter(len(frames[f]) + for f in used).items())), + support=[dict(target=t, frame=current[v+t], coefficient=str(z[t][k])) + for t in support]) + descriptions.append(detail) + if best[k] is None or lower < best[k]['lower_copy_transition_rank']: + best[k] = detail + total = sum(costs) + if common_best is None or total < common_best['lower_copy_transition_rank_sum']: + common_best = dict(B_prefix_length=index, stage=stage, climbed_register=register, + lower_copy_transition_rank_sum=total, + center_lower_bounds=costs, + target_support_sizes=[x['target_support_size'] for x in descriptions]) + cut_count += 1 + + +inspect(0, 'before_B') +for index, e in enumerate(w['B'], 1): + touched = [e[1]] + ([e[2]] if e[0] == 'add' else []) + for r in touched: + changed = current[r] != e[-1] + current[r] = e[-1] + if changed and v <= r < 2*v: + target_climb_cuts += 1 + inspect(index-1, 'after_target_climb_before_scalar', r) + if v <= e[1] < 2*v: + dst = e[1]-v + if e[0] == 'scale': + q = Q(e[2], e[3]) + z[dst] = [q*x for x in z[dst]] + elif v <= e[2] < 2*v: + q = Q(e[3], e[4]) + src = z[e[2]-v] + z[dst] = [x+q*y for x, y in zip(z[dst], src)] + inspect(index) +independent_lower = sum(x['lower_copy_transition_rank'] for x in best) +assert cut_count == len(w['B'])+target_climb_cuts+1 +assert all(row != [] for row in z) +report = dict(status='PASS_EXACT_DELAYED_INJECTION_NECESSARY_COST_SCREEN', + source_PR=564, source_head='c18417b02b80594b2ca1c8c21185d28befafc935', + word_sha256=hashlib.sha256(word_path.read_bytes()).hexdigest(), + word_payload_sha256=hashlib.sha256(gzip.decompress(word_path.read_bytes())).hexdigest(), + script_sha256=hashlib.sha256(Path(__file__).read_bytes()).hexdigest(), + B_gates=len(w['B']), TARGET_climb_cuts=target_climb_cuts, + cuts_checked=cut_count, + old_private_transition_rank_sum=64, + lower_bound_with_independent_center_cuts=independent_lower, + best_common_cut=common_best, best_center_cuts=best, + productive_carrier_best_cuts=productive_best, + productive_carrier_extra_rank_lower_sum=sum(x['lower_extra_rank'] for x in productive_best), + lower_bound_histograms=[dict(sorted(h.items())) for h in histograms], + seconds=time.monotonic()-started, + argument='The B background never reads a TARGET. Its TARGET block is invertible, since each TARGET-only add/scale is invertible. For the same saved center value, moving injection through a B prefix multiplies the injection column by that prefix TARGET block. All other columns stay fixed. Any literal copy path must visit the actual frames of every nonzero transported target. The canonical transition distance is dimF+dimG-2dim(F intersect G). Its triangle inequality permits removal of intermediate frames and gives a minimum spanning tree on the start and served frames as a lower bound. Separate center cuts, arbitrary target order and arbitrary intermediate frames are granted. Holding copies, physical owners, ordinary operations, wrappers and fresh dirt interfaces have no negative price and are omitted.', + scope='Each original center value is held without changing its scalar value and injected at one literal B cut. The private case uses one copy. The productive case grants a free same-frame exchange into a carrier that has frame8 at the old cut and must exit FULL9; its old remaining rank1 completion is credited. The unchanged B word and actual TARGET frames remain. The productive scalar exchange and arbitrary-dirt endpoint are not asserted to exist. This does not exclude split injections, new TARGET words, a joint productive operator, a new SOURCE basis or another controller. A lower bound below64 is a screen only, not a verified gain.') +args.out.resolve().parent.mkdir(parents=True, exist_ok=True) +args.out.resolve().write_text(json.dumps(report, indent=2)+'\n') +print(report['status'], 'cuts', cut_count, 'independent lower', independent_lower, + 'common lower', common_best['lower_copy_transition_rank_sum'], flush=True) diff --git a/research/legacy-packet-limits/vendor/PR509-NOTICE.md b/research/legacy-packet-limits/vendor/PR509-NOTICE.md new file mode 100644 index 0000000000..c3e27c84a8 --- /dev/null +++ b/research/legacy-packet-limits/vendor/PR509-NOTICE.md @@ -0,0 +1,7 @@ +Apache-2.0 (see `LICENSE`). Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. + +The Lean sources are new. They formalise Lemma G of PR #484 (DreamingOfClouds), which reduces to PR #425's common-frame +conjugation lemma (jacklightChen / Zhihao Chen, OpenAI Codex), PR #458's one-helper rule and paid wrappers (chafreaky) and +PR #471's virtual entrance (Dugongue). The toolchain and Mathlib pin are those of `formal/lean` on main; the package layout +and axiom reporting follow PRs #487/#488 (jamesyc). `code/check_extended_labels.py` imports PR #484's +`research/e8-complex-gauge-kernel/code/lemmaG/lg_lib.py` (read-only) to load the emitted artefacts. diff --git a/research/legacy-packet-limits/verify.py b/research/legacy-packet-limits/verify.py new file mode 100644 index 0000000000..718eddca51 --- /dev/null +++ b/research/legacy-packet-limits/verify.py @@ -0,0 +1,51 @@ +"""Run the saved exact checks in a new output directory.""" +import argparse +import hashlib +import json +import os +from pathlib import Path +import shutil +import subprocess +import sys +import time + +if not __debug__: + raise RuntimeError("Assertions must remain enabled") +root = Path(__file__).resolve().parent +parser = argparse.ArgumentParser() +parser.add_argument("--work", type=Path, required=True) +args = parser.parse_args() +work = args.work.resolve() +if work.exists(): + raise FileExistsError(work) +for entry in json.loads((root / "SOURCE-MANIFEST.json").read_text())["files"]: + if hashlib.sha256((root / entry["path"]).read_bytes()).hexdigest() != entry["sha256"]: + raise ValueError("SOURCE_HASH " + entry["path"]) +work.mkdir(parents=True) +shutil.copytree(root / "source", work / "source") +run_root = work / "source" +checks = [ + ("packet-joint-basis/run_checks.py", ["--run", str(run_root), "--work", str(work / "joint-results")]), +] +for name in ("zero", "four", "eight"): + checks.append(("productive-joint-research/screen_delayed_injection.py", [ + "--word", str(run_root / "frontier/refresh-6/replay564-root" / (name + "-cold-local/CANONICAL-WORD.json.gz")), + "--out", str(run_root / "productive-joint-research" / (name.upper() + "-DELAYED-INJECTION.json")), + ])) +checks.append(("productive-joint-research/check_delayed_injection.py", [])) +child_env = os.environ.copy() +child_env.pop("PYTHONOPTIMIZE", None) +results = [] +for index, (name, arguments) in enumerate(checks): + script = work / "source" / name + started = time.monotonic() + result = subprocess.run([sys.executable, "-B", str(script)] + arguments, cwd=script.parent, + capture_output=True, text=True, env=child_env, timeout=180) + (work / f"check-{index}.stdout.log").write_text(result.stdout) + (work / f"check-{index}.stderr.log").write_text(result.stderr) + results.append({"check": name, "exit_code": result.returncode, + "seconds": time.monotonic() - started}) + (work / "RUN.json").write_text(json.dumps(results, indent=2) + "\n") + if result.returncode: + raise RuntimeError("CHECK_FAILED " + name) +print("PASS_LEGACY_PACKET_LIMITS checks=5")