diff --git a/research/center-chain-terminal-feasibility/OBLIGATIONS.json b/research/center-chain-terminal-feasibility/OBLIGATIONS.json new file mode 100644 index 0000000000..64881643b6 --- /dev/null +++ b/research/center-chain-terminal-feasibility/OBLIGATIONS.json @@ -0,0 +1,72 @@ +{ + "compiler_route": "PR4610 retained. PR4483/4544 not substituted.", + "milestones": [ + { + "name": "priced physical chart word", + "status": "scoped-primitive-model-witness", + "evidence": "Centre0 all640-input endpoint/raw dual; actual added Gaussian and scalar bills. Remaining seven centres remain coupled. Tape and rounded execution are inherited/unproved." + }, + { + "name": "favourable complete caller moment", + "status": "not-achieved", + "evidence": "Defined terminal policy has negative incremental moment throughout C in [0,1]. No complete profitable caller emitted." + }, + { + "name": "funded kappa above PR4610", + "status": "not-attempted", + "evidence": "No new claimed/tested/uniform saving, compiler reserve, or outer admission." + } + ], + "obligations": [ + { + "item": "all arbitrary inputs and helper ownership", + "status": "checked-scoped", + "evidence": "RESULT all640 columns, exacthelperreturns, one target per credited input, retained couplings." + }, + { + "item": "actual new chart requests and raw-dual phase", + "status": "finite-checked", + "evidence": "Nested geometry census plus452 exactone-column source-compiler lowerings. Allf source semantics remain inherited." + }, + { + "item": "scalar finite work", + "status": "counted", + "evidence": "113 terminal ADDs;758 joint boundary gates; emitted dyadic tariffs and l2 envelopes. No scalar/routing work converted into free ranks." + }, + { + "item": "fixed tape movement, wrappers, storage, precision", + "status": "separate-open", + "evidence": "Actual primitive/owner word and452 wrapper upper count retained; no unproved O(V) route shortcut or rounded execution theorem." + }, + { + "item": "ordinary center job and native matching", + "status": "optimistic-only", + "evidence": "Independent inverse8 job; ordinary positive-job normalization granted free only for a losing upper bound." + }, + { + "item": "complete controller/source-target census", + "status": "open", + "evidence": "Single local partial terminal is not an independently diagonalized all-main-job caller. Pair/joint calculations are declared-policy accounting." + }, + { + "item": "PR4610 compiler capacity and charged tails", + "status": "blocked-by-profitability", + "evidence": "Newrank9 paid requests and center job types require new matching/tail/finitewidth derivations. Keep originalroute; no source applicability inferred." + }, + { + "item": "54 strict predicates and4 functional guards", + "status": "no-new-admission", + "evidence": "Rebind all retained premises and add any new interface/stock/precision guards before later use. Formula count alone is not completeness." + }, + { + "item": "PR4483/4544 cancellation lemma", + "status": "not-used", + "evidence": "Would need binding of actual boundary masses, source/exit quantities and rootdebit to proposedcompiler." + }, + { + "item": "BIT4760 compatibility", + "status": "later-only", + "evidence": "Not a dependency or budget source of this local study." + } + ] +} diff --git a/research/center-chain-terminal-feasibility/OVERLAP.json b/research/center-chain-terminal-feasibility/OVERLAP.json new file mode 100644 index 0000000000..cd345f4cce --- /dev/null +++ b/research/center-chain-terminal-feasibility/OVERLAP.json @@ -0,0 +1,221 @@ +{ + "base": "624de9dc66858af0945e5f8a0942488d62280d43", + "scope": "Bounded predecessor/head and live PR-body successor queries plus public Discussion reading; no exhaustive pagination, novelty certificate or task reservation.", + "heads": [ + { + "number": 4610, + "head": "20bb93cd990d2ff683e4d0fc56b87a42cd5d3296", + "state": "closed", + "draft": false, + "merged_at": "2026-10-22T19:19:22Z", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4610" + }, + { + "number": 4694, + "head": "2add42d1edf14a263abe90a3bcde67fc1ba30768", + "state": "open", + "draft": true, + "merged_at": null, + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4694" + }, + { + "number": 4698, + "head": "9079ab66ba9a1717df478a08eb957c20d84d3e61", + "state": "closed", + "draft": false, + "merged_at": "2026-10-22T19:28:26Z", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4698" + }, + { + "number": 4703, + "head": "4cc96829fad977aecf0018b26beb067cfd2689a5", + "state": "closed", + "draft": false, + "merged_at": "2026-10-22T19:28:26Z", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4703" + }, + { + "number": 4711, + "head": "6093fe10aad90178b3c650fed39862c169919f60", + "state": "closed", + "draft": false, + "merged_at": "2026-10-22T19:28:26Z", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4711" + }, + { + "number": 4712, + "head": "b75a27bf07f1584b20babfddf887493981cd5949", + "state": "closed", + "draft": false, + "merged_at": "2026-10-22T19:28:26Z", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4712" + } + ], + "queries": { + "mandatory": { + "total_count": 0, + "incomplete_results": false, + "items": [], + "search_type": "lexical" + }, + "chain": { + "total_count": 2, + "incomplete_results": false, + "items": [ + { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/4713", + "repository_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds", + "labels_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/4713/labels{/name}", + "comments_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/4713/comments", + "events_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/4713/events", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4713", + "id": 5984431424, + "node_id": "PR_kwDOU-508s8AAAABKFQ4AQ", + "number": 4713, + "title": "Conditional DIV-free Word RAM κ = 0.0030217758 (+4e-10 over #4635)", + "user": { + "login": "Dugongue", + "id": 49054532, + "node_id": "MDQ6VXNlcjQ5MDU0NTMy", + "avatar_url": "https://avatars.githubusercontent.com/u/49054532?v=4", + "gravatar_id": "", + "url": "https://api.github.com/users/Dugongue", + "html_url": "https://github.com/Dugongue", + "followers_url": "https://api.github.com/users/Dugongue/followers", + "following_url": "https://api.github.com/users/Dugongue/following{/other_user}", + "gists_url": "https://api.github.com/users/Dugongue/gists{/gist_id}", + "starred_url": "https://api.github.com/users/Dugongue/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/Dugongue/subscriptions", + "organizations_url": "https://api.github.com/users/Dugongue/orgs", + "repos_url": "https://api.github.com/users/Dugongue/repos", + "events_url": "https://api.github.com/users/Dugongue/events{/privacy}", + "received_events_url": "https://api.github.com/users/Dugongue/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "labels": [], + "state": "closed", + "locked": false, + "assignees": [], + "milestone": null, + "comments": 0, + "created_at": "2026-10-22T17:38:28Z", + "updated_at": "2026-10-22T19:28:26Z", + "closed_at": "2026-10-22T19:28:26Z", + "assignee": null, + "author_association": "CONTRIBUTOR", + "issue_field_values": [], + "type": null, + "active_lock_reason": null, + "draft": false, + "pull_request": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/pulls/4713", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4713", + "diff_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4713.diff", + "patch_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4713.patch", + "merged_at": "2026-10-22T19:28:26Z" + }, + "body": "Transfer the latest funded PR #4610 provider to native Word RAM at kappa 0.0030217758, improving #4635's native value by exactly 4 times 10^-10. This matches the current #4610 headline: no changed paid profile, new raw crossing or new global multiplication record is claimed.\r\n\r\nThe exact source-bound check reconstructs 64,404 paid calls and 10,928 productive fields, funds q_C = 1057621533/350000000000 at N = 2^38569300000000000 with absorption margin 6611668/5, and checks all nine native rows and five additional rejecting controls. The inherited all-fiber, phase, whole-job, compiler, conditioning, analytic and recovery premises remain explicit.\r\n\r\nA separate universal reciprocal-Newton proof removes unit-cost DIV with O(log w) native operations and constant-limb temporaries. Strict row margins absorb the logarithm, preserving O(n/(log n)^0.0030217758). Both logical shifts are explicit primitives; this is not Lax13 with a division-derived right shift retained. No TM simulator, TM multiplier or unbounded-word multiplication is used.\r\n\r\nThe package also supplies proved dirty-column lane and dirty-arena constructions, paid tensor normalization and a precision-safe boundary theorem. Their nonbinding effects are stated separately. Search coverage: 43 queries, 10 primary publications and 8 pinned Lean files across 4 repositories; no exhaustive worldwide novelty claim.\r\n\r\nValidation: direct optimized and registered standard-library Python 3.12 replays, metadata/pin checks and committed-byte checks pass. Checks include independent Newton invariants, 195,102 lane cases, 20,593 relocation correspondences, 65,520 tensor entries, 168 boundary cases and corruption rejection after clean-baseline acceptance. No fresh Lean kernel, physical phase, Linux run, practical complete multiplier or independent human acceptance is claimed.\r\n\r\nCredit Cao Yifan / intqwq (#4610), Cinna Davis and the #4470 lineage, Dugongue (#4630/#4635/#4703), Dillon, zxv, Jacob Alan Sussman, Ryanson Jonathan, Vlado Vojdanovski, Chafik Boukhalfa, Tim Trudgian, Jeremy Kothe, eumemic, icekylinx, Harvey and van der Hoeven, Lax/Problem 1.8 and public formalization contributors, primary literature authors and retained source owners. #4641's attribution is preserved; unresolved #4694/#4698 chart embedding is not used. Full proof-specific sources/notices are included. Prepared for Dugongue with substantial OpenAI Codex assistance: one lead and three workers.\r\n\r\nMain refreshed at b58ad9ef4d4e861b0eaa5dba41742bdc072dca51; selected frontier and canonical DAG/Lean tree unchanged. Broad final PR/discussion refresh was rate-limited; frozen inputs and coverage are documented. Remaining work: a changed admitted provider, independent universal composition audit and practical native implementation.\r\n", + "reactions": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/4713/reactions", + "total_count": 0, + "+1": 0, + "-1": 0, + "laugh": 0, + "hooray": 0, + "confused": 0, + "heart": 0, + "rocket": 0, + "eyes": 0 + }, + "timeline_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/4713/timeline", + "performed_via_github_app": null, + "state_reason": null, + "score": 1 + }, + { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/4711", + "repository_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds", + "labels_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/4711/labels{/name}", + "comments_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/4711/comments", + "events_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/4711/events", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4711", + "id": 5984320970, + "node_id": "PR_kwDOU-508s8AAAABKFLIkQ", + "number": 4711, + "title": "Construct paired centre gaps in original complex frames", + "user": { + "login": "aliromman", + "id": 226877337, + "node_id": "U_kgDODYXfmQ", + "avatar_url": "https://avatars.githubusercontent.com/u/226877337?v=4", + "gravatar_id": "", + "url": "https://api.github.com/users/aliromman", + "html_url": "https://github.com/aliromman", + "followers_url": "https://api.github.com/users/aliromman/followers", + "following_url": "https://api.github.com/users/aliromman/following{/other_user}", + "gists_url": "https://api.github.com/users/aliromman/gists{/gist_id}", + "starred_url": "https://api.github.com/users/aliromman/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/aliromman/subscriptions", + "organizations_url": "https://api.github.com/users/aliromman/orgs", + "repos_url": "https://api.github.com/users/aliromman/repos", + "events_url": "https://api.github.com/users/aliromman/events{/privacy}", + "received_events_url": "https://api.github.com/users/aliromman/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "labels": [], + "state": "closed", + "locked": false, + "assignees": [], + "milestone": null, + "comments": 0, + "created_at": "2026-10-22T17:31:03Z", + "updated_at": "2026-10-22T19:28:26Z", + "closed_at": "2026-10-22T19:28:26Z", + "assignee": null, + "author_association": "CONTRIBUTOR", + "issue_field_values": [], + "type": null, + "active_lock_reason": null, + "draft": false, + "pull_request": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/pulls/4711", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4711", + "diff_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4711.diff", + "patch_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4711.patch", + "merged_at": "2026-10-22T19:28:26Z" + }, + "body": "This local construction carries centre information across two replicas of the historical gauge44/t16 interface without adding a native recursive child or a Walsh frame change. Its typed monomial-square theorem gives `G_s H_t = 0` at every pair of stages when the stated common global involution and frame hypotheses hold. Thus the resulting residual factors compose by addition, with an explicit inverse.\n\nThe [proof](https://github.com/aliromman/integer-mult-bounds/blob/6093fe10aad90178b3c650fed39862c169919f60/research/original-paired-gap/PROOF.md), [fresh independent agent review](https://github.com/aliromman/integer-mult-bounds/blob/6093fe10aad90178b3c650fed39862c169919f60/research/original-paired-gap/evidence/publication-20261022/REVIEW.md), [cold replay receipt](https://github.com/aliromman/integer-mult-bounds/blob/6093fe10aad90178b3c650fed39862c169919f60/research/original-paired-gap/evidence/publication-20261022/COLD-REPLAY.json), and [source pins](https://github.com/aliromman/integer-mult-bounds/blob/6093fe10aad90178b3c650fed39862c169919f60/research/original-paired-gap/SOURCES.json) define the submitted claim.\n\nThe general theorem assumes an admitted raw interface, legal monomial access to `Q^2` and `Q^-2`, matching replica views, and the stated productive-frame intertwiners. It does not require `Q^4=I`. The concrete instance uses the original complex phases, including their scalar phase. Both paired words accept all 1,408 independent inputs: 448 data fields, 16 arbitrary mode fields, and 944 arbitrary ordinary helpers. The helpers restore in their specified output frames; the mode outputs remain part of the coupled interface.\n\nPer pair, each orientation adds 2,688 physical ADDs and 448 literal translations. The added real scalar allowances are 25,088 forward and 34,048 backward; including the two cores gives 433,924 and 442,884. Both retain 10,112 native events and rank mass 11,044. Translation execution, native children and wrappers, owner access, mode histories, the final decoder, storage, precision, and recursive assembly still need their separate bills. These are local allowances, not a complete supplier cost.\n\n**No complete kappa improvement is claimed.** Final odd-phase reads and injections, arbitrary-mode restoration through a full controller, and global supplier admission remain unresolved. The branch starts from canonical main `b58ad9ef4d4e861b0eaa5dba41742bdc072dca51`; that commit selects the conditional [PR #4470](https://github.com/CrocSwap/integer-mult-bounds/pull/4470) joint-helper result. The historical source remains `bce54fb3f895cbe5cd4c0eb477c3afeed100190f`. Admission to the newer selected construction is not established, and no selected file changes. See the [current-source boundary](https://github.com/aliromman/integer-mult-bounds/blob/6093fe10aad90178b3c650fed39862c169919f60/research/original-paired-gap/PUBLICATION.md).\n\nThe [old-owner view annex](https://github.com/aliromman/integer-mult-bounds/blob/6093fe10aad90178b3c650fed39862c169919f60/research/original-paired-gap/annexes/productive-owner-view/README.md) adds a general coefficient interpretation for the unchanged physical paired word. If the old inherited frame is O and the fresh exterior frame is P, Delta=P^-1 O commutes with the complete local transform under the stated exterior-axis and convolution hypotheses. Thus **B_old=D_out^-1 B D_in**, with identity on data and ordinary helpers and the appropriate Delta on each promoted mode. Delta may differ between modes and need not be monomial. No Delta conversion is executed. For example, v=-z-Gx becomes h'=-h-Delta^-1 Gx, and y'=y+x+Hv becomes y'=y+x+H Delta h'. The result interprets changing promoted-mode outputs as well as restored ordinary helpers.\n\nThe [written proof review](https://github.com/aliromman/integer-mult-bounds/blob/6093fe10aad90178b3c650fed39862c169919f60/research/original-paired-gap/annexes/productive-owner-view/frozen/lanes/coherent-port/PRODUCTIVE-OWNER-VIEW-REVIEW.md) requires the complete arbitrary-input helper jobs, actual entry/output views, and destination wrappers. Correlated inputs are allowed. Promoted owners must avoid every role in the other core, and shared ordinary owners need the checked complete-job conditions. Owner matching, all phase records, the 37 exchanges, helper windows, every physical view cost, and later productive restoration remain inherited obligations. **The fixed original and repaired full words are known to fail:** family 13005=1 gives family 112=-1/4 in both mode-sign variants. The [retained final status](https://github.com/aliromman/integer-mult-bounds/blob/6093fe10aad90178b3c650fed39862c169919f60/research/original-paired-gap/annexes/productive-owner-view/frozen/lanes/source-domain/productive-owner-drift/REVIEW-STATUS.md) preserves this boundary. The view theorem supplies neither a global repair nor a complete kappa improvement.\n\nThere is no separate numerical checker for this general change-of-coordinates theorem. The fresh [source audit](https://github.com/aliromman/integer-mult-bounds/blob/6093fe10aad90178b3c650fed39862c169919f60/research/original-paired-gap/annexes/productive-owner-view/evidence/SOURCE-AUDIT-normal.json) checks thirteen original files and all four written-review pins; normal and optimized receipts agree. It explicitly records that no mathematical replay occurred. The existing published paired replay validates B. The [published-source identity record](https://github.com/aliromman/integer-mult-bounds/blob/6093fe10aad90178b3c650fed39862c169919f60/research/original-paired-gap/annexes/productive-owner-view/evidence/PUBLISHED-SOURCE-IDENTITY.json) binds the inherited native review and notices to the accepted [f917bc1b4a769a241349eda7c0e22e374548cf58 tree](https://github.com/aliromman/integer-mult-bounds/commit/f917bc1b4a769a241349eda7c0e22e374548cf58). No old phase/history, matching, global-defect, or restoration suite was rerun for this annex. With Python 3.11+, the standard library, and a new output directory:\n\n```sh\npython3 -I -B research/original-paired-gap/annexes/productive-owner-view/check_sources.py --out /tmp/productive-owner-view-audit\n```\n\nExpected output:\n\n```text\nPASS_PRODUCTIVE_OWNER_VIEW_SOURCE_AUDIT\n```\n\nThe [annex notice](https://github.com/aliromman/integer-mult-bounds/blob/6093fe10aad90178b3c650fed39862c169919f60/research/original-paired-gap/annexes/productive-owner-view/NOTICE.md) credits the source-domain, coherent-port, and circuit-interface contributions and retains the published historical gauge44/t16 notices byte for byte. Accepted package files and historical source pins stay unchanged. Substantial OpenAI Codex assistance was used; Apache-2.0.\n\nThe [independent annex review](https://github.com/aliromman/integer-mult-bounds/blob/6093fe10aad90178b3c650fed39862c169919f60/research/publication-reviews/original-paired-gap/productive-owner-review/REVIEW.md) checks the ordered proof and exact source identities. It is a separate agent review, not human peer review.\n\nReproduce with Python 3.10 or later, the standard library, and Git. The clone must contain the historical source commit and its pinned archive. No network is needed for replay.\n\n```sh\npython3 -I -O -B research/original-paired-gap/replay.py --repo . --out /tmp/original-paired-gap\n```\n\nExpected output:\n\n```text\nPASS_EXACT_ORIGINAL_PAIRED_MAPS\nPASS_ORIGINAL_PAIRED_NATIVE_COMPONENTS\nPASS_GENERAL_MONOMIAL_SQUARE_IDENTITIES\nPASS_PORTABLE_ORIGINAL_PAIRED_GAP\n```\n\nThe fresh isolated replay checks all core and paired input columns, frame records, retained native streams, 57,344 line columns, and 1,008 affine routes. Its six mathematical receipts match the retained evidence. A separate implementation also recounts the costs and reproduces six failures on actual Fourier characters, including omitted translations and incorrect update order. The all-depth claim comes from the operator proof. The separate owner patch, every inherited native kernel, the repository-wide suite, and the full selected replay were not rerun. The reviews are by separate AI agents, not humans.\n\nPredecessor credit remains with @icekylinx for the source gauge and pipeline, @FanPUYen for the t16 construction, @jeremykothe2 for the retained [PR #799](https://github.com/CrocSwap/integer-mult-bounds/pull/799) word, @chafreaky for the [PR #741](https://github.com/CrocSwap/integer-mult-bounds/pull/741) frames and [PR #685](https://github.com/CrocSwap/integer-mult-bounds/pull/685) owner construction, and @rohanarun for the native complex recurrence correction. The [retained notices](https://github.com/aliromman/integer-mult-bounds/blob/6093fe10aad90178b3c650fed39862c169919f60/research/original-paired-gap/NOTICE.md) give the full lineage. The loader comes from [PR #1862](https://github.com/CrocSwap/integer-mult-bounds/pull/1862) at `7649d9ceecec949541bec4bbde5929344166ba59`; route reconstruction adapts [PR #1969](https://github.com/CrocSwap/integer-mult-bounds/pull/1969) at `a6e6ad3936f67b8f63b5b68c5e75d540610a65e7`.\n\nRecent [PR #4694](https://github.com/CrocSwap/integer-mult-bounds/pull/4694) and [PR #4698](https://github.com/CrocSwap/integer-mult-bounds/pull/4698) study a different retained-centre interface and conditional consumer on a newer source. They are related work, not consumed dependencies or admission evidence for this package. No priority claim is made for elementary block identities. Prepared with substantial OpenAI Codex assistance under the user's direction; Apache-2.0.\n", + "reactions": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/4711/reactions", + "total_count": 0, + "+1": 0, + "-1": 0, + "laugh": 0, + "hooray": 0, + "confused": 0, + "heart": 0, + "rocket": 0, + "eyes": 0 + }, + "timeline_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/4711/timeline", + "performed_via_github_app": null, + "state_reason": null, + "score": 1 + } + ], + "search_type": "lexical" + } + }, + "discussions": [ + "https://github.com/CrocSwap/integer-mult-bounds/discussions/1166", + "https://github.com/CrocSwap/integer-mult-bounds/discussions" + ], + "predecessor_scope": { + "4711": "Historical gauge44/t16 paired-centre frames; local coupled identity with known global restoration/admission failures. Neighbouring work, not a current native producer.", + "4712": "Dirty helper word returns desired endpoint but net paid bill doubles replaced center; direct Row/Col each120 heads, four-shear480 vsshared240; independent4703 endpoint/frame/phase/cost audit reused as coverage, not repeated." + } +} diff --git a/research/center-chain-terminal-feasibility/PROOF.md b/research/center-chain-terminal-feasibility/PROOF.md new file mode 100644 index 0000000000..0e2e77171a --- /dev/null +++ b/research/center-chain-terminal-feasibility/PROOF.md @@ -0,0 +1,218 @@ +# A charged terminal decoder for the heterogeneous centre offer + +Chris R / Clear1nsight, with substantial OpenAI Codex assistance. Apache-2.0. + +The result is a scoped negative construction. The emitted decoder obeys the +retained Gaussian/common-chart primitive model and preserves arbitrary inputs. +Its extra recursive bill exceeds its most favourable new target reward at every +candidate saving C in [0,1]. This is not an impossibility theorem for affordable +centre consumers, a full physical multiplier, or a new kappa certificate. + +## Actual offer and the changed protocol + +Use the exact #4698 normalized #4694 interface on 640 independent inputs. Write +its scalar-coordinate operator as + + M = [[A,B],[R,I]], A(X,Y,h) = (X,Y+X,h). + +Here x=(X,Y,h) has 632 coordinates and z has eight. Each row of R is its +56-term X observation plus one distinct pivot helper. B has 56 nonzero Y +entries per column. R A = R and R B = 0. Physical operators have the form + + E_out M E_in^-1. + +E_in and E_out are the actual direct sums of the source's canonical Gaussian +frames. They are not omitted. Each pivot helper enters at the empty chart and +exits at rank nine. X exits at rank nine; Y exits at its actual rank-eight chart; +centres enter at their actual rank-eight charts and exit at the empty chart. +The selected source is not homogeneous transverse progress on three fields. + +For a selected set S of centres, leave the complete source native word and the +full joint 379-gate header and 379-gate footer intact. After that word: + +1. Apply the inverse actual output frame to every X and Y field used by the + selected rows/columns and every selected pivot helper. Each is a paid + Gaussian request, with literal monomial lowering wrappers. +2. At the now common empty chart, subtract each entire R_j observation from + the actual centre j, including its pivot-helper term and all 56 X terms. +3. Subtract B_j times that now decontaminated centre from every affected Y. +4. Reapply every stripped output frame. Restore every touched endpoint chart. + +These are in-place operations. No field is initialized, discarded or identified +with another arbitrary input. The original 640-owner population is retained; +this does not establish that eight promoted arbitrary owners are free in a +complete recursive caller. There is no new owner beyond the source extension. + +## Exact all-input endpoint + +After the source, x'=Ax+Bz and z'=Rx+z. R reads X and helpers only, which the +scalar source leaves unchanged. Thus the centre subtraction yields z_j exactly. +The Y subtraction then removes precisely B_j z_j. For every subset S, + + x'' = A x + sum_(j not in S) B_j z_j, + z''_j = z_j (j in S), + z''_j = R_j x + z_j (j not in S). + +The implemented scalar terminal is the product of two invertible shears. Its +block matrix has upper-left I+B E_S R, upper-right -B E_S, lower-left -E_S R +and lower-right I. The physical endpoint is E_out D_S M E_in^-1. + +For S={0}, roles 224 and 632 are the pivot and promoted centre. All 640 primal +columns are freshly checked, including every remaining coupled centre and every +centre-to-Y column. The output of role 632 is the independent inverse Gaussian +of its original arbitrary input, with rank eight. The pivot retains its original +rank-nine helper job. It is reclassified from autonomous helper to consumer +pivot return and is counted exactly once. The other 407 helper jobs are unchanged. +The seven other centres and the main provider contract remain coupled; they +receive no new independent-job credit in the incremental screen. + +The verifier also emits the actual gatewise raw inverse transpose. Scalar ADDs +are transposed and negated; a Gaussian unitary contributes its complex conjugate, +not the same forward Gaussian. The inherited source convention dualizes the +chart labels. A separate sparse rational/free-word evaluator checks its full +640-row result against the transpose of an independently checked two-sided +inverse. Forward-tail and forward-Gaussian substitutions reject. + +The all-width statement is conditional on the retained source native and chart +contracts. Each address-operator block and its actual inverse are tensor-lifted; +no tensor of a field-level sum is substituted for this chronology. New nested +requests are lowered at one column with the source's exact Clifford compiler, +including their absolute phase and raw-dual conjugates. The original native +phase suite, tape execution and rounded recursion are not freshly replayed here. + +## Physical accounting unit and target ownership + +One normalized invocation costs the entire 379+379 joint boundary word. A chain +is not assigned one eighth of that cost. Two separate normalized invocations +cost 1516 boundary gates unless a later actual word proves sharing. This study +uses one invocation and does not claim such a cancellation. + +The native extension scalar tally is 158136 real scalar units. The full joint +normalization adds 6412 units and the chosen terminal adds 1128 units, for a +total of 165676 units under the retained scalar tariff. These are finite +whole-field scalar charges, not recursive ranks or a complete tape-time bill. + +The target census has an input identity, output type and sector for every +credited job. The separate 640-row inventory records every arbitrary input, +initial/final chart and digest of its actual chronological contact history. +A selected pivot's rank-nine job remains one inherited job. Only its centre's +independent inverse rank-eight job can be an additional reward. Positive ordinary +credit is granted optimistically: its required positive-job normalization has +not been admitted or priced as a free physical operation. + +## A separate zero-chart-change obstruction + +There is also a small optimistic rejection that does not depend on the chosen +strip schedule. Permit arbitrary invertible scalar postprocessing within each +actual terminal chart, with no paid chart transport or new cross-chart operation. +The empty output chart contains precisely the eight centres. Their coefficient +block on the eight independent pivot-helper inputs is I8. For an invertible +centre-bank postprocessor L that block becomes L. No row of an invertible L is +zero, so no centre-bank output becomes independent of all pivot inputs. The +other terminal chart blocks cannot enter this bank under the declared alphabet. +Thus zero-chart-change postprocessing cannot deliver any pure independent centre +job. Allowing operator-valued mixing restricted to the centre bank itself also +cannot annihilate its identity helper block without losing invertibility. + +This is a rank/ownership obstruction to that particular free-decoder model. +Cross-chart reads, paid Gaussian jobs, a changed producer, joint bank operations +and different output locations remain open. It supplies neither a rank-nine +universal query floor nor an exclusion of affordable heterogeneous embeddings. +The authenticated full source replay already checks the exact identity helper +block used by this argument. + +## Declared complete-cost screen + +The domain is exactly the strip-all-touched-fields, subtract-complete-observation, +subtract-contamination, restore-all-stripped-fields policy above. It keeps the +source word, helper normalization and all untargeted output contracts. It allows +all eight singleton choices, all 28 distinct pairs, and a separate jointly +amortized eight-centre accounting case. It does not minimize over other decoder +algorithms, gather orders, intermediate shared chart routes or source rewrites. + +Set t=1-C and let s=|S|. Let n_X and n_Y be the distinct X and Y support counts. +The exact emitted additional recursive cost, and an optimistic upper bound on +new productive reward, are + + P_under(C) = 2 n_Y 8^t + 2(n_X+s) 9^t, + R_bar(C) = s 8^t. + +All scalar, routing, storage and precision bills are separate; setting their +incremental cost to zero only makes this screen more favourable. The new centre +normalization is also granted zero cost. The old main/helper reward cancels in +the comparison, because those contracts are retained and no pivot is duplicated. + + Delta M(C) <= R_bar(C) - P_under(C). + +The source-authenticated support census gives: + +| Selected centres | n_X | n_Y | Added paid requests | Optimistic new reward | Delta M upper bound | +| --- | ---: | ---: | --- | --- | --- | +| Each singleton | 56 | 56 | 112 H8 + 114 H9 | H8 | -111*8^t -114*9^t | +| Each distinct pair | 88 | 88 | 176 H8 + 180 H9 | 2 H8 | -174*8^t -180*9^t | +| All eight together | 112 | 112 | 224 H8 + 240 H9 | 8 H8 | -216*8^t -240*9^t | + +For every C in [0,1], both powers are at least one. These upper bounds are at +most -225, -354 and -456 respectively. The sign is therefore certified on the +entire declared interval, with no one-point extrapolation or unproved monotonicity. +At C=0 the exact deficits are 1914, 3012 and 3888 rank units. These are costs of +this emitted policy, not unavoidable ranks for all physical embeddings. + +For S={0}, the complete local paid profile is + + {1:2201, 2:412, 3:510, 4:127, 5:40, 8:120, 9:114}. + +The unchanged source profile is + + {1:2201, 2:412, 3:510, 4:127, 5:40, 8:8}. + +The terminal has 113 dyadic scalar ADDs. RESULT.json retains the complete word, +scalar tariffs, prefix norm envelopes, all 37 support/cost cases and ownership. +The chosen 226 added Gaussian requests have at most 452 left/right monomial +wrapper invocations. Their actual lowering recipes are retained. A generic +finite-work ledger is the inherited source work plus 758 normalization gates, +113 terminal ADDs, the 226 Gaussian requests and their emitted wrappers, along +with the actual stream movement and recursive-call storage/precision charges. +No O(V) route shortcut, zero-cost wrapper, or rounded precision theorem is assumed. +The scalar l2 envelope is a triangle bound, not a machine-bit guard certificate. + +The strict negative recursive comparison stops expansion of this policy before +its finite work needs a new outer or compiler admission campaign. + +## Homogeneous-template compatibility rejection + +The exact first pivot diagonal Gaussian has column support 512; its centre's +inverse rank-eight Gaussian has support 256. The retained literal Clifford +circuits reproduce both, including phase. Per-field monomial pre/post wrappers +preserve support cardinality. Thus the unmodified assignment of these fields +cannot have the same transverse diagonal multiplier required by the homogeneous +three-field offer. This rejects direct identification with only those wrappers. +It does not reject a paid embedding, a further joint basis, a different query Q, +a heterogeneous consumer or another choice of shared recursive job type. +The physical query inventory records each actual inverse canonical centre frame, +its exact monomial square and its order-four check. It does not substitute that +operator for both heterogeneous chain links or assume symmetry. In fact, all +eight candidate centre inverse frames fail the literal symmetry test. For centre +0, the exact matrix entries are Q[10,0]=1/16 and Q[0,10]=-1/16. This is a +rejection of using that actual centre diagonal operator directly as the template +Q, not a rejection of other Q choices or a paid heterogeneous embedding. A last-contact +audit of the chosen 113 stripped fields finds a cross-field ADD at every final +source contact. Commuting a strip through operations on unrelated fields alone +therefore does not expose an adjacent source Gaussian inverse to cancel. Joint +changes across those scalar contacts remain outside this terminal policy. +The five failure controls in the retained group-ring consumer are rerun, without +claiming its algebraic identity as a new contribution. + +## Compiler and ceiling boundaries + +The PR4610 compiler route is fixed. No #4483/#4544 implication is substituted for +it. No profile is admitted by passing 54 outer predicates or four guards. This +new local profile even introduces rank-nine paid requests and inverse centre jobs; +a surviving complete caller would require a new source/target matching and tail +obligation map before using the retained compiler. The failed local screen makes +that later work unnecessary for this policy. See OBLIGATIONS.json. + +PR4700's monotone single-centre-call protocol and PR4696's fixed graph/subspace +phase grammar are not invoked as universal bounds. The new terminal changes the +centre return, adds descending/ascending boundary calls, and uses a new coupled +consumer. The centre's original paid call is retained, never silently deleted. diff --git a/research/center-chain-terminal-feasibility/README.md b/research/center-chain-terminal-feasibility/README.md new file mode 100644 index 0000000000..ca78de7d38 --- /dev/null +++ b/research/center-chain-terminal-feasibility/README.md @@ -0,0 +1,107 @@ +# Centre chain terminal feasibility + +**A valid heterogeneous terminal decoder loses its recursive moment. No new +kappa.** This bounded study builds on #4694/#4698's actual 640-field offer and +keeps #4610's compiler route fixed. It does not find a profitable homogeneous +embedding or a complete improved caller. + +The emitted one-chain terminal strips the actual charts on all required fields, +removes the full 56-term data observation and pivot-helper term from centre 0, +removes that centre's contamination from all 56 affected Y fields, then restores +every endpoint chart. A new evaluator checks all 640 arbitrary input columns +and the actual gatewise raw inverse transpose. Every remaining coupling is +retained. All original helper jobs return, and the pivot helper is counted once. + +Its additional bill is **112 rank-eight and 114 rank-nine Gaussian requests**, +plus **113 scalar ADDs**. It gains at most one independent rank-eight inverse job. +The full joint 379-entry/379-exit helper normalization remains charged. Its moment +delta is at most `-111*8^(1-C)-114*9^(1-C) < 0` for every `C in [0,1]`, even +granting free positive-job normalization and free additional finite work. + +A direct template assignment also fails a concrete phase premise: the actual +centre-0 inverse frame has Q[10,0]=1/16 but Q[0,10]=-1/16. Taking that centre +operator directly as the template Q therefore does not satisfy its symmetry +hypothesis. A paid embedding or a different heterogeneous Q remains open. + +The same declared policy loses for all eight single chains and all 28 shared +pairs. Sharing a pair uses 88 distinct X and 88 distinct Y fields; it adds +`176 H8 + 180 H9` against at most `2 H8`. This is an exact cost census and a +written interval-wide argument for this policy, not an optimized physical lower +bound. Only centre 0's complete primal/raw-dual native word is freshly executed. + +[PROOF.md](PROOF.md) gives the physical entry/exit maps, source-relative endpoint, +target bookkeeping, cost domain and stopping inequality. [RESULT.json](RESULT.json) +contains the emitted terminal, source digest, complete paid profile, 640-owner +history inventory, seven rejection controls and phase-aware new lowering recipes. +[OBLIGATIONS.json](OBLIGATIONS.json) keeps physical construction, profitability, +and compiler/outer admission as separate milestones. + +## Sources and overlap + +Canonical main is pinned at `624de9dc66858af0945e5f8a0942488d62280d43`, selected +conditional kappa `0.00302015` from #4470. The stronger comparison is #4610's +reported `0.0030217758`, whose raw crossing, tested saving and funded uniform +saving remain distinct. No numerical headroom is treated as a physical budget. + +The two #4694 snapshots are separately authenticated in [SNAPSHOTS.json](SNAPSHOTS.json): +`039a3e4f8906400cd05908ed86b8f9c6866e6113`, consumed by #4698, and live draft +head `2add42d1edf14a263abe90a3bcde67fc1ba30768`. Their ABI and native payload +are byte-identical. **Their verifier files differ**: the live file adds cache +support. Both standard emitters are compared on the actual payload; the candidate +uses the frozen emitter. This is not a claim that the trees are interchangeable. +The live verifier is retained unchanged with its original header and source pin. + +Mandatory predecessors include #4712's dirty-helper loss, honest 120-head query +accounting, and independent #4703 endpoint/phase/cost audit. They are not rerun +as new findings. #4711 is neighbouring historical-frame work with explicit +restoration/global-admission failures; it is not a producer for this experiment. +#4696 and #4700 supply scoped barriers whose hypotheses differ from this decoder. +The second candidate consumer problem remains #4703, using #4712's existing audit +coverage. #4760 is a later BIT compatibility question, not an input to this study. + +Live PR-head and targeted successor queries and bounded public Discussion reading +are recorded in [OVERLAP.json](OVERLAP.json). This is not exhaustive pagination, +a novelty certificate or a task reservation. All consumed bytes, including review +scope documents, are pinned in SOURCES.json. No predecessor file is modified. + +## Reproduce + +Python 3.12, standard library, repository root: + +```sh +python3 -B scripts/research_package.py --package research/center-chain-terminal-feasibility +python3 -I -O -B research/center-chain-terminal-feasibility/verify.py +``` + +Both compare every scientific output field with the fixed receipt. `--out` can +write a separate fresh file; it refuses an existing path and never regenerates +predecessor evidence. The replay uses a new rational/free-word evaluator but +reuses the credited source emitter and Clifford compiler. New primitive lowering +checks are finite one-column exact checks, with tensor application inheriting +the source contract. It is not a fresh replay of the original physical phase +suite, a Lean certificate, rounded execution, fixed-tape compiler or outer theorem. + +## Open next questions + +Do not enlarge this terminal policy after its interval-wide loss. A useful next +attempt must change the joint observation producer or remove charged chart moves +through an actual chronological cancellation, while preserving arbitrary inputs, +all R_X terms, centre-to-Y couplings and ownership-disjoint targets. Start with +an explicit heterogeneous operator and a source-bound optimistic full bill. + +The homogeneous two-call consumer remains open at its physical embedding gate. +A shared query producer must improve on an honest paid implementation; eight +observations cannot simply be billed as eight queries. #4703 remains an alternative +consumer problem whose profitable complete controller is unresolved. The structured +questions in TASK.json preserve these distinctions. + +## Credit + +Prepared for Chris R / Clear1nsight with substantial OpenAI Codex assistance; +no subagents or independent human review. New work is Apache-2.0. Credit Cinna +Davis for #4694/#4698 and the #4470 lineage; Cao Yifan / intqwq for #4610/#4712; +zxv for productive-helper/native/compiler work; Jacob Alan Sussman for mixed-target +recursion; Dugongue for complementary suppliers; Ali Romman and the historical +paired-centre contributors for #4711; and all retained Clifford, geometry, +physical, precision and outer authors. Source emitters and compiler bytes retain +their original notices. 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"261eeb9e9f8b2b4b0d119366dda99c6fd7d35c64", + "sha256": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4" + } + ] +} diff --git a/research/center-chain-terminal-feasibility/TASK.json b/research/center-chain-terminal-feasibility/TASK.json new file mode 100644 index 0000000000..ccce01972c --- /dev/null +++ b/research/center-chain-terminal-feasibility/TASK.json @@ -0,0 +1,78 @@ +{ + "schema_version": 1, + "task_id": "complex-new-helper-inventory", + "priority_revision": 7, + "base_commit": "624de9dc66858af0945e5f8a0942488d62280d43", + "original_card": { + "id": "complex-new-helper-inventory", + "question": "Can a new local cost interface change the deficit-to-recursive-cost ratio beyond current packing?", + "starting_points": [ + "docs/research/research-family-status.md", + "research/complex-local-word-ceiling/README.md", + "research/heterogeneous-owner-assembly/README.md", + "certificates/selected-result.json", + "research/selected-k8-unrestricted-ends/README.md" + ], + "methods": [ + "Propose a changed helper inventory and derive an optimistic exact moment.", + "Design a small completed instance and independently verify its endpoint and rank bill." + ], + "acceptance_gate": "A new physically realizable contract outside the frozen catalogue whose per-call profile, screened with ceiling.ceiling(), beats the selected word's packing ceiling; a lower cap does not establish identical circuitry or order attainable optima, and is insufficient to pass the stronger-budget target under this model. A scoped local result may be retained without a complete supplier. Expanding it into further construction rounds requires the family-level budget and obligation gate in research-family-status.md; an optimistic passing relaxation alone is not acceptance.", + "first_step": { + "command": [ + "python3", + "-B", + "research/complex-local-word-ceiling/verify.py" + ], + "expected": "PASS_COMPLEX_LOCAL_WORD_CEILING", + "inspect": "Read the selected word's per-call local profile, its packing ceiling and the lever table; run levers.py for the ideal budget of the lever you target.", + "scope": "Positive control and planning budget only; this is not a new construction or full cold replay." + }, + "first_experiment": "Before any synthesis, write the candidate per-call local profile (and centre charge / unpaid coordinates if changed) and screen it with ceiling.ceiling(); reject it if even the ideal ceiling does not beat the selected word's by your stated margin.", + "bottleneck_link": "Packing of the selected word is capped at +0.87% (ceiling model); only a lower local excess spend or a changed coverage law raises the cap.", + "allowed_variations": [ + "Narrow to one changed boundary or helper type with explicit counts.", + "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope." + ], + "scope_change_triggers": [ + "Mixing only providers already inside the pinned catalogue.", + "Only changing helper terminal subspaces and monotone frames within the fixed scalar word, entrances and cleanup contract already covered by #1995/#2013.", + "Continuing a partial cost improvement while leaving the same unpriced consumer, restoration or central-readout obligation unresolved; refresh the family expansion decision first. Local product-retiming evidence has a narrow scope and is not a ban on changed graphs or contracts." + ], + "overlap_terms": [ + "helper inventory", + "heterogeneous-owner", + "mutable leaver" + ] + }, + "scope_status": "changed", + "actual_scope": "User-amended bounded physical feasibility study of PR4698 actual centre/helper chains against PR4610. Emit one heterogeneous terminal, a disjoint ownership census, all-input primal/raw-dual check and an interval-wide complete recursive-cost screen for its declared single/pair policy.", + "scope_change_reason": "Explicit user assignment replaces obsolete selected-word packing card with the actual 640-field coupled offer; keeps the PR4610 compiler route fixed and requires mandatory PR4712/4711 predecessor checks.", + "bottleneck_link": "Independent centre observation and Y decontamination require actual heterogeneous chart access; retaining a pivot helper does not create duplicate Gaussian reward.", + "budget_minutes": 60, + "stop_rule": "Stop the strip-all-touched-fields terminal policy if its optimistic complete incremental moment upper bound is non-positive throughout the declared C interval. Do not infer exclusion of different shared producers or embeddings.", + "outcome": "negative-result", + "evidence": "PROOF.md; RESULT.json; full640-input primal/raw-dual terminal; new phase-aware nested lowering; all8 singleton and28 pair support/cost screens;7 new rejection controls", + "author": "Chris R / Clear1nsight, with substantial OpenAI Codex assistance", + "ai_assistance": "Substantial OpenAI Codex assistance for mathematics, implementation and verification. No subagents or independent human review.", + "open_questions": [ + { + "question": "Can a shared heterogeneous observation producer avoid most of the charged terminal chart strips while preserving all data and owner returns?", + "why_it_matters": "Every instance of the emitted strip-all policy has a strictly negative incremental moment; a different producer is required.", + "first_step": "Write one actual heterogeneous entry/call/exit operator with all 56 data terms and centre-to-Y columns. Bound its mandatory recursive requests and ownership-disjoint targets before synthesis.", + "blocked_by": "No such affordable physical producer or profitable complete caller is established." + }, + { + "question": "Can a chronological overlap between source and decoder legally cancel chart conversions or joint normalizations?", + "why_it_matters": "The present terminal occurs after the complete output footer and restores all touched charts; a real changed chronology could change its large bill.", + "first_step": "Identify one actual adjacent inverse pair with equal owner, physical frame, operation and phase, and prove all intervening uses commute or survive.", + "blocked_by": "No sharing/cancellation has been proved; the full379+379 basis word remains charged." + }, + { + "question": "Does a different complete controller profitably consume PR4703 complementary suppliers?", + "why_it_matters": "This remains a second candidate consumer problem after the scoped negative result.", + "first_step": "Use PR4712 existing independent endpoint/phase/cost audit; emit a genuinely new full gauged consumer rather than replaying the covered local suppliers.", + "blocked_by": "Complete profitable controller and compiler admission remain open." + } + ] +} diff --git a/research/center-chain-terminal-feasibility/VALIDATION.md b/research/center-chain-terminal-feasibility/VALIDATION.md new file mode 100644 index 0000000000..60e3b830a8 --- /dev/null +++ b/research/center-chain-terminal-feasibility/VALIDATION.md @@ -0,0 +1,49 @@ +# Executed validation + +Scientific commit: `f1928c374cf72cb48ff962866cc3b30fd19419af`. +Base: `624de9dc66858af0945e5f8a0942488d62280d43`. +Linux x86_64, CPython 3.12.3, standard library only. No subagents. + +- Registered metadata/source pins and registered scientific replay: PASS. +- New independent sparse rational/free-word evaluator: all 640 primal and actual + raw inverse-transpose endpoint columns, output charts and full paid census pass. +- All 408 inherited helper jobs counted once, with the selected pivot reclassified + to the consumer return; one extra inverse-centre job granted optimistic credit. + All 640 independent inputs have a recorded ownership/contact history. +- All eight singletons, all 28 pairs and the jointly amortized eight-centre + accounting case: exact support/cost screens pass with strictly negative + incremental moment over the entire declared interval C in [0,1]. Only the + chosen singleton's complete native word is freshly replayed. +- 452 exact one-column Clifford lowerings for the new nested requests and their + raw-dual conjugates pass with absolute phase. The source Clifford compiler is + reused; this is not a separate implementation or full original phase replay. +- Seven new mathematical/accounting corruption controls reject, and the retained + homogeneous group-ring consumer's five controls also pass. +- Actual centre-0 candidate Q has entries Q[10,0]=1/16 and Q[0,10]=-1/16. All + eight candidate centre inverse operators fail the direct symmetry test. No + conclusion about other physical Q choices or paid embeddings follows. +- Committed-byte/source-history preflight: PASS for all 29 scientific package + and declared input files. The declared base source commit is an ancestor. + This does not assert that the live draft #4694 head is an ancestor; its exact + verifier is retained and source/blob hashes are separately recorded. +- Committed export and offline archive integrity: PASS, 29 scientific files. +- Fresh Git-free export, `/usr/bin/python3 -I -O -B`, PATH=/nonexistent: PASS in + 30.551 seconds, with complete scientific receipt equality. +- An actual exported receipt mutation changing integer reward 1 to boolean true + rejects at the type-sensitive scientific receipt comparison in 31.319 seconds. +- An actual declared ABI source-byte mutation rejects at its source pin in + 0.576 seconds. Both mutated files are restored exactly afterward. +- Every exported byte, including the export manifest, is preserved across the + positive and rejecting cold tests. The export contains 29 files plus its + manifest. The separate raw cold-validation report is retained in local outputs. +- Whitespace check: PASS. No predecessor or shared verification source changed. + +This validation record is added after the scientific commit and does not change +its verifier, mathematical receipt or declared inputs. The final local byte and +export checks include this additional record. + +No original full native phase suite, complete profitable caller, rounded physical +execution, fixed-tape compiler, Lean, supplier/outer admission, selected cold replay, +new kappa, hosted CI or independent human acceptance is claimed. The selected +conditional result remains 0.00302015 from #4470; #4610's stronger comparison +remains distinct from that selected record. Publication has not been performed. diff --git a/research/center-chain-terminal-feasibility/VERIFY.json b/research/center-chain-terminal-feasibility/VERIFY.json new file mode 100644 index 0000000000..853ecb1dc0 --- /dev/null +++ b/research/center-chain-terminal-feasibility/VERIFY.json @@ -0,0 +1,37 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [ + "research/center-helper-normal-form/CONSUMER.md", + "research/center-helper-normal-form/PROOF.md", + "research/center-helper-normal-form/consumer.py", + "research/center-helper-normal-form/inputs/ABI.json", + "research/center-helper-normal-form/inputs/ORIGINS.json", + "research/center-helper-normal-form/inputs/retained_verify.py", + "research/center-helper-normal-form/inputs/round3-native.json.gz", + "research/center-helper-normal-form/verify.py", + "research/kappa-recursive-phase-checkpoint-20261023/README.md", + "research/kappa-round6-compiler-tightening-20261022/README.md", + "research/kappa-round8-owner-protocol-20261023/README.md", + "research/original-paired-gap/PUBLICATION.md", + "research/kappa-round8-owner-protocol-20261023/sources/research/t74-native-fast/vendor/native/new/code/borrow/vendor/clifford/clifford_exact.py", + "research/kappa-round8-recursive-phase-20261023/README.md", + "research/kappa-round8-complement-audit-20261023/README.md", + "research/phase-rank-debt/PROOF.md", + "research/center-chart-bound/PROOF.md", + "LICENSE" + ], + "commands": [ + { + "argv": [ + "{python}", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 300, + "checks": "Source-authenticated full640-input terminal and true gatewise raw dual; disjoint409-job census and640-owner histories;37 exact support/cost screens with interval-wide proof;452 phase-aware nested frame lowerings;7 new corruption controls. No full original phase suite, Lean or compiler/outer admission." + } + ] +} diff --git a/research/center-chain-terminal-feasibility/live-4694-verify.py b/research/center-chain-terminal-feasibility/live-4694-verify.py new file mode 100644 index 0000000000..9d034ac3e1 --- /dev/null +++ b/research/center-chain-terminal-feasibility/live-4694-verify.py @@ -0,0 +1,292 @@ +#!/usr/bin/env python3 +"""Exact reversible center extension. Apache-2.0; substantial OpenAI assistance.""" +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +from pathlib import Path +import gzip +import json +import sys + +HERE = Path(__file__).resolve().parent +SOURCE_HASH = '7679daa4ec6a40f56fc7f0202379a6f454310e94945aba4f48beaaaafb838d05' +PAID = {1: 2201, 2: 412, 3: 510, 4: 127, 5: 40, 8: 8} +N = 640 + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def plus(dst, src, coefficient=Q(1)): + for k, v in tuple(src.items()): + value = dst.get(k, Q(0)) + coefficient * v + if value: + dst[k] = value + else: + dst.pop(k, None) + + +def load(): + raw = (HERE / 'inputs/round3-native.json.gz').read_bytes() + need(sha256(raw).hexdigest() == SOURCE_HASH, 'exact PR4610 round-three source') + return json.loads(gzip.decompress(raw)) + + +def emit(payload, dual=False, baseline=False, cached=False): + """Same chronological order for inverse transpose; dualize every chart.""" + starts = list(payload['canonical']['start']) + centers = [] + events = [] + center = -1 + for e in payload['programs']['forward']: + kind = e[0] + if kind == 'scalar': + g, frame = e[1:] + op = g[0] + if op == 'clear': + continue + if op == 'copy': + center += 1 + centers.append({'source': g[2][1], 'input_frame': frame}) + starts.append(0 if cached else frame) + if cached: + continue + role = lambda x: x[1] if x[0] == 'L' else 632 + center + dst = role(g[1]) + if op in ('add', 'copy'): + src = role(g[2]) + a = Q(1) if op == 'copy' else Q(g[3], g[4]) + if baseline and op == 'copy': + events.append(('copy', dst, src, a, frame)) + else: + events.append(('add', src if dual else dst, + dst if dual else src, -a if dual else a, frame)) + else: + need(op == 'scale', 'known scalar opcode') + a = Q(g[2], g[3]) + events.append(('scale', dst, 1 / a if dual else a, frame)) + elif kind == 'climb': + _, _, r, a, b, width = e + events.append(('transport', r, a, b, width)) + elif kind == 'center': + _, _, a, b, width = e + if not cached: + events.append(('transport', 632 + center, a, b, width)) + elif kind == 'warp': + _, r, op, a, b = e + symbol = (1 if op > 0 else -1) * (abs(op) + (1000000 if dual else 0)) + events.append(('warp', r[1], symbol, a, b)) + else: + need(kind in ('phase', 'adapter'), 'known native marker') + need(center == 7 and len(starts) == N, 'eight distinct arbitrary center inputs') + return starts, centers, events + + +def span(basis): + out = {0} + for v in basis: + out |= {x ^ v for x in tuple(out)} + need(len(out) == 2 ** len(basis), 'independent chart basis') + return out + + +def replay(payload, starts, events, baseline=False, paid_expected=None): + rows = [{(i, ()): Q(1)} for i in range(N)] + current = starts[:] + frames = payload['canonical']['frames'] + spaces = list(map(span, frames)) + paid = Counter() + for e in events: + op, r = e[:2] + if op in ('add', 'copy'): + _, _, s, a, frame = e + need(r != s and current[r] == current[s] == frame, 'actual scalar common chart') + if op == 'copy': + need(baseline and r >= 632, 'only baseline owned copy') + rows[r] = dict(rows[s]) + else: + plus(rows[r], rows[s], a) + elif op == 'scale': + _, _, a, frame = e + need(current[r] == frame and a != 0, 'scale chart and invertibility') + rows[r] = {k: a * v for k, v in rows[r].items()} + elif op == 'transport': + _, _, a, b, width = e + need(current[r] == a, 'actual paid source chart') + need(spaces[a] < spaces[b] or spaces[b] < spaces[a], 'strictly nested transport') + need(width == abs(len(frames[a]) - len(frames[b])), 'rank derived from geometry') + paid[width] += 1 + current[r] = b + else: + _, _, symbol, a, b = e + need(op == 'warp' and current[r] == a, 'native warp source chart') + out = {} + for (variable, word), value in rows[r].items(): + word = word[1:] if word and word[0] == -symbol else (symbol,) + word + plus(out, {(variable, word): value}) + rows[r] = out + current[r] = b + need(dict(paid) == (PAID if paid_expected is None else paid_expected), 'complete emitted recursive invoice') + need(current == payload['canonical']['final'] + [0] * 8, 'all 640 output charts') + need(all(not word for row in rows for _, word in row), 'all free warp words cancel') + return [{i: v for (i, _), v in row.items()} for row in rows] + + +def product(a, b): + out = [] + for row in a: + new = {} + for j, v in row.items(): + plus(new, b[j], v) + out.append(new) + return out + + +def transpose(a): + out = [{} for _ in a] + for i, row in enumerate(a): + for j, v in row.items(): + out[j][i] = v + return out + + +def encoded(a): + return [[[j, str(v)] for j, v in sorted(row.items())] for row in a] + + +def matrix_rank(rows): + pivots = {} + for old in rows: + row = dict(old) + while row: + p = min(row) + if p not in pivots: + q = row[p] + pivots[p] = {j: v / q for j, v in row.items()} + break + plus(row, pivots[p], -row[p]) + return len(pivots) + + +def run(): + payload = load() + starts, centers, events = emit(payload) + actual = replay(payload, starts, events) + _, _, old_events = emit(payload, baseline=True) + old = replay(payload, starts, old_events, baseline=True) + identity = [{i: Q(1)} for i in range(N)] + a = [dict(row) for row in identity] + for i in range(112): + a[112 + i][i] = Q(1) + need(old[:632] == a[:632], 'source all-632-column native identity ABI') + b = [{j: v for j, v in row.items() if j >= 632} for row in actual[:632]] + r = [{j: v for j, v in row.items() if j < 632} for row in actual[632:]] + need(all(actual[i] == a[i] | b[i] for i in range(632)), 'unchanged old-input columns') + need(all(actual[632 + i] == r[i] | {632 + i: Q(1)} for i in range(8)), 'center residual ABI') + need(all(not b[i] for i in list(range(112)) + list(range(224, 632))), 'noise only in Y outputs') + need(all(all(j < 112 or 224 <= j < 632 for j in row) for row in r), 'center reads only X/helper inputs') + need(matrix_rank(b) == matrix_rank(r) == 8, 'two actual rank-eight coupling maps') + k = [dict(row) for row in actual] + for i in range(N): + plus(k[i], identity[i], -1) + k2 = product(k, k) + need(any(k2) and not any(product(k2, k)), 'K squared nonzero and K cubed zero') + inverse = [dict(row) for row in identity] + for i in range(N): + plus(inverse[i], k[i], -1) + plus(inverse[i], k2[i]) + need(product(inverse, actual) == product(actual, inverse) == identity, 'exact two-sided inverse') + _, _, dual_events = emit(payload, dual=True) + dual = replay(payload, starts, dual_events) + need(dual == transpose(inverse), 'all-640-column raw inverse transpose with the same bill') + need(product(transpose(dual), actual) == identity, 'exact primal/dual pairing') + # A separately emitted kernel accepts a caller-computed empty-chart cache. + # The expensive center transforms are absent; their data are not declared free. + cache_paid = {r: n for r, n in PAID.items() if r != 8} + cache_starts, _, cache_events = emit(payload, cached=True) + cache_actual = replay(payload, cache_starts, cache_events, paid_expected=cache_paid) + cache_expected = [dict(row) for row in actual] + for i in range(632): + plus(cache_expected[i], k2[i], -1) + for i in range(8): + cache_expected[632 + i] = {632 + i: Q(1)} + need(cache_actual == cache_expected, 'cache ABI [[A-BR,B],[0,I]]') + cache_k = [dict(row) for row in cache_actual] + for i in range(N): + plus(cache_k[i], identity[i], -1) + need(not any(product(cache_k, cache_k)), 'cache kernel is square-zero off identity') + cache_inverse = [dict(row) for row in identity] + for i in range(N): + plus(cache_inverse[i], cache_k[i], -1) + _, _, cache_dual_events = emit(payload, dual=True, cached=True) + cache_dual = replay(payload, cache_starts, cache_dual_events, paid_expected=cache_paid) + need(cache_dual == transpose(cache_inverse), 'actual raw dual of cache-supplied kernel') + supplied = [dict(row) for row in identity] + for i in range(8): + supplied[632 + i] = r[i] + need(product(cache_actual, supplied)[:632] == a[:632], 'derived cache recovers exact old ABI') + cold = {j for row in r for j in row if j >= 224} + need(len(cold) == 106 and all(payload['canonical']['start'][j] == 0 for j in cold), + 'all helper contributions to R are already in the empty entrance chart') + # Controls retain the same source/invoice but falsify actual operator claims. + bad = list(events) + i = next(i for i, e in enumerate(bad) if e[0] == 'add' and e[1] == 632) + e = bad[i] + bad[i] = (*e[:3], -e[3], e[4]) + need(replay(payload, starts, bad) != actual, 'changed center injection rejected') + bad = list(dual_events) + i = next(i for i, e in enumerate(bad) if e[0] == 'add' and e[2] == 632) + e = bad[i] + bad[i] = (*e[:3], -e[3], e[4]) + need(replay(payload, starts, bad) != transpose(inverse), 'wrong inverse-transpose sign rejected') + bad = list(events) + i = next(i for i, e in enumerate(bad) if e[0] == 'transport' and e[1] == 632) + e = bad[i] + bad[i] = (*e[:4], e[4] - 1) + rejected = False + try: + replay(payload, starts, bad) + except ValueError: + rejected = True + need(rejected, 'false center rank rejected from actual charts') + # Independent Gram and support facts expose actual arbitrary-input leakage. + gram = [[sum(b[i].get(632 + u, 0) * b[i].get(632 + v, 0) for i in range(632)) + for v in range(8)] for u in range(8)] + need(gram == [[Q(7, 2) * (u == v) for v in range(8)] for u in range(8)], 'B transpose B = 7/2 I') + # The zero-center source contract cannot certify eight independent new jobs. + need(any(b), 'nonzero incoming center changes original target outputs') + need(all(r), 'new center outputs are contaminated by original arbitrary inputs') + abi = {'schema': 'retained-center-extension/1', 'source_sha256': SOURCE_HASH, + 'centers': centers, 'B_rows': encoded(b), 'R_rows': encoded(r)} + result = {'status': 'EXACT_REVERSIBLE_640_FIELD_EXTENSION_NO_NEW_KAPPA', + 'source_inputs': 632, 'new_arbitrary_inputs': 8, 'outputs': N, + 'paid': PAID, 'new_recursive_calls': 0, 'owned_erase_or_copy_operations': 0, + 'B_rank': 8, 'R_rank': 8, 'nilpotence_index': 3, + 'noisy_old_outputs': sum(bool(row) for row in b), + 'old_input_terms_in_center_outputs': [len(row) for row in r], + 'center_residual_ranks_without_decoupling_credit': [8] * 8, + 'primal_and_raw_inverse_transpose_checked': True, + 'cache_supplied_kernel': {'paid': cache_paid, 'recursive_rank_mass_saved': 64, + 'cache_inputs': 8, 'cache_chart': 0, 'required_relation': 'c=R*x', + 'cold_helper_inputs_in_R': 106, 'source_X_inputs_in_R': 112, + 'raw_dual_checked': True, 'caller_cost_included': False, + 'independent_productive_cache_credit': 0}, + 'controls': ['center injection sign', 'dual sign', 'false center rank', + 'new-input leakage', 'old-input contamination'], + 'independent_new_productive_jobs_certified': False, + 'abi_sha256': sha256((json.dumps(abi, sort_keys=True) + '\n').encode()).hexdigest()} + return abi, result + + +if __name__ == '__main__': + abi, result = run() + if sys.argv[1:] == ['--write']: + for name, value in [('ABI.json', abi), ('RESULT.json', result)]: + (HERE / name).write_text(json.dumps(value, indent=2, sort_keys=True) + '\n') + else: + need(not sys.argv[1:], 'known command arguments') + for name, value in [('ABI.json', abi), ('RESULT.json', result)]: + need(json.loads(json.dumps(value)) == json.loads((HERE / name).read_text()), 'exact receipt ' + name) + print(json.dumps(result, sort_keys=True)) diff --git a/research/center-chain-terminal-feasibility/verify.py b/research/center-chain-terminal-feasibility/verify.py new file mode 100644 index 0000000000..6ad4e8f9b5 --- /dev/null +++ b/research/center-chain-terminal-feasibility/verify.py @@ -0,0 +1,447 @@ +#!/usr/bin/env python3 +"""Exact bounded heterogeneous terminal decoder; no new kappa. + +Chris R / Clear1nsight, substantial OpenAI Codex assistance. Apache-2.0. +The predecessor emitter and Clifford compiler are reused with attribution. +""" +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256, sha1 +from pathlib import Path +import argparse +import itertools +import json +import sys +import types + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[1] +SRC = ROOT/'research/center-helper-normal-form' +CE = ROOT/'research/kappa-round8-owner-protocol-20261023/sources/research/t74-native-fast/vendor/native/new/code/borrow/vendor/clifford/clifford_exact.py' +N = 640 + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def load(path, name): + # Execute the authenticated source bytes, never a neighbouring pyc cache. + out = types.ModuleType(name) + out.__file__ = str(path) + sys.modules[name] = out + exec(compile(path.read_bytes(), str(path), 'exec'), out.__dict__) + return out + + +def plus(dst, src, coefficient=Q(1)): + for key, value in tuple(src.items()): + value = dst.get(key, Q(0)) + coefficient*value + if value: + dst[key] = value + else: + dst.pop(key, None) + + +def identity(): + return [{i: Q(1)} for i in range(N)] + + +def mm(a, b): + out = [] + for row in a: + new = {} + for j, value in row.items(): + plus(new, b[j], value) + out.append(new) + return out + + +def transpose(a): + out = [{} for _ in a] + for i, row in enumerate(a): + for j, value in row.items(): + out[j][i] = value + return out + + +def rank(rows): + pivots = {} + for x in rows: + while x: + k = x.bit_length()-1 + if k not in pivots: + pivots[k] = x + break + x ^= pivots[k] + return len(pivots) + + +def span(basis): + need(rank(basis) == len(basis), 'independent chart basis') + out = {0} + for v in basis: + out |= {x ^ v for x in tuple(out)} + return out + + +def evaluate(events, starts, final, frames): + """New sparse/free-word evaluator; does not call predecessor replay.""" + rows = [{(i, ()): Q(1)} for i in range(N)] + charts = list(starts) + spaces = list(map(span, frames)) + paid = Counter() + for e in events: + op, dst = e[:2] + if op == 'add': + _, _, src, q, f = e + need(dst != src and charts[dst] == charts[src] == f, 'actual scalar common chart') + plus(rows[dst], rows[src], q) + elif op == 'scale': + _, _, q, f = e + need(charts[dst] == f and q != 0, 'invertible scale chart') + rows[dst] = {k: q*v for k, v in rows[dst].items()} + elif op == 'transport': + _, _, a, b, width = e + need(charts[dst] == a and (spaces[a] < spaces[b] or spaces[b] < spaces[a]), 'nested physical chart move') + need(width == abs(len(frames[a])-len(frames[b])), 'derive recursive width') + paid[width] += 1 + charts[dst] = b + elif op == 'warp': + _, _, letter, a, b = e + need(charts[dst] == a, 'actual warp chart') + new = {} + for (i, word), value in rows[dst].items(): + word = word[1:] if word and word[0] == -letter else (letter,)+word + plus(new, {(i, word): value}) + rows[dst] = new + charts[dst] = b + else: + raise ValueError('unknown actual operation') + need(charts == final, 'every endpoint chart restored') + need(all(not word for row in rows for i, word in row), 'all source warp words cancel') + return [{i: v for (i, word), v in row.items()} for row in rows], paid + + +def target(abi, observations, selected): + out = identity() + for i in range(112): + out[112+i][i] = Q(1) + for i, row in enumerate(abi['B_rows']): + plus(out[i], {j: Q(v) for j, v in row if j-632 not in selected}) + for j, row in enumerate(observations): + if j not in selected: + plus(out[632+j], row) + return out + + +def terminal(selected, abi, observations, final, frames, pivots): + xs = sorted({i for j in selected for i, v in abi['R_rows'][j] if i < 224}) + ys = sorted({i for i, row in enumerate(abi['B_rows']) if any(k-632 in selected for k, v in row)}) + touched = sorted(xs+ys+[pivots[j] for j in selected]) + need(len(touched) == len(set(touched)), 'distinct physical owners') + strip = [('transport', i, final[i], 0, len(frames[final[i]])) for i in touched] + scalar = [] + for j in selected: + scalar += [('add', 632+j, i, -v, 0) for i, v in sorted(observations[j].items())] + for j in selected: + for i, row in enumerate(abi['B_rows']): + for k, v in row: + if k == 632+j: + scalar.append(('add', i, 632+j, -Q(v), 0)) + restore = [('transport', i, 0, final[i], len(frames[final[i]])) for i in touched] + info = dict(selected=list(selected), X=xs, Y=ys, pivots=[pivots[j] for j in selected], + scalar_ADDs=len(scalar), extra_paid=dict(Counter(e[4] for e in strip+restore))) + return strip+scalar+restore, info + + +def inverse(a): + unit = identity() + k = [dict(row) for row in a] + for i in range(N): + plus(k[i], unit[i], Q(-1)) + k2 = mm(k, k) + need(not any(mm(k2, k)), 'cube-zero endpoint') + inv = identity() + for i in range(N): + plus(inv[i], k[i], Q(-1)) + plus(inv[i], k2[i]) + need(mm(inv, a) == mm(a, inv) == unit, 'two-sided inverse') + return inv + + +def raw_dual(events): + out = [] + for e in events: + if e[0] == 'add': + out.append(('add', e[2], e[1], -e[3], e[4])) + elif e[0] == 'scale': + out.append(('scale', e[1], 1/e[2], e[3])) + else: + need(e[0] == 'transport', 'no extra warp hidden in terminal') + out.append(e) # The retained source convention dualizes each chart. + return out + + +def rejected(fn): + try: + fn() + except ValueError: + return True + return False + + +def conjugate_clifford(ce, op): + """For a unitary, raw inverse transpose is its complex conjugate.""" + circuit = [] + for e in op.circuit: + if e[0] == 'C': + circuit.append(('C', e[1], -e[2])) + elif e[0] == 'D': + circuit.append(('D', e[1], tuple(-x % 4 for x in e[2]))) + elif e[0] == 'phase': + circuit.append(('phase', -e[1] % 4)) + else: + need(e[0] in ('P', 'X'), 'known real Clifford primitive') + circuit.append(e) + return ce.Op(op.n, tuple((x,z,-p % 4) for x,z,p in op.tab), circuit) + + +def scalar_tariff(events): + """Retained ADD/SCALE tariff from PR4712; routing is a separate bill.""" + total = 0 + count = Counter() + for e in events: + if e[0] not in ('add', 'scale'): + continue + q = e[3] if e[0] == 'add' else e[2] + n, d = abs(q.numerator), q.denominator + need(n > 0 and not d & (d-1), 'nonzero dyadic scalar') + if e[0] == 'add': + total += 2*(3+n.bit_length()-1+n.bit_count()+d.bit_length()-1) + else: + need(not n & (n-1), 'dyadic-unit SCALE') + total += 2*(abs(n.bit_length()-d.bit_length())+int(q < 0)) + count[e[0]] += 1 + return dict(gates=dict(count), real_scalar_tariff=total, + route_and_precision_costs_included=False) + + +def norm_envelope(events): + """Whole-field l2 triangle bound; Gaussian/warp primitives are unitary.""" + envelope = [Q(1)]*N + maximum = Q(1) + for e in events: + if e[0] == 'add': + envelope[e[1]] += abs(e[3])*envelope[e[2]] + elif e[0] == 'scale': + envelope[e[1]] *= abs(e[2]) + maximum = max(maximum, max(envelope)) + return str(maximum) + + +def validate_census(entries): + need(len({r['input'] for r in entries}) == len(entries), 'no duplicate productive input') + need(sum(r['input'] < 632 for r in entries) == 408, 'all inherited helpers exactly once') + + +def census(selected, pivots, helpers): + selected_helpers = {pivots[j] for j in selected} + entries = [dict(input=i, rank=r, sector='consumer-pivot-return' if i in selected_helpers else 'autonomous-helper') + for i, r in helpers.items()] + entries += [dict(input=632+j, rank=8, sector='independent-center-inverse') for j in selected] + validate_census(entries) + return entries + + +def authenticate(): + pins = json.loads((HERE/'SOURCES.json').read_text()) + for row in pins['files']: + if row['usage'] == 'input': + need(sha256((ROOT/row['path']).read_bytes()).hexdigest() == row['sha256'], 'changed source '+row['path']) + auth = json.loads((HERE/'SNAPSHOTS.json').read_text()) + for row in auth['files']: + raw = (ROOT/row['consumed_frozen_path']).read_bytes() + need(sha256(raw).hexdigest() == row['frozen']['sha256'], 'frozen snapshot pin') + blob = sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest() + need(blob == row['frozen']['git_blob'], 'frozen source blob') + live = (HERE/row['live']['retained_package_file']).read_bytes() if 'retained_package_file' in row['live'] else raw + need(sha256(live).hexdigest() == row['live']['sha256'], 'live snapshot pin') + need(sha1(b'blob '+str(len(live)).encode()+b'\0'+live).hexdigest() == row['live']['git_blob'], 'live source blob') + need((raw == live) == row['byte_identical'], 'do not equate source trees') + return pins + + +def run(): + pins = authenticate() + normal = load(SRC/'verify.py', 'predecessor_normalizer') + engine = load(SRC/'inputs/retained_verify.py', 'frozen_center_emitter') + engine.HERE = SRC + payload = engine.load() + frames = payload['canonical']['frames'] + abi = json.loads((SRC/'inputs/ABI.json').read_text()) + r = [{i: Q(v) for i, v in row} for row in abi['R_rows']] + cold = {i for i in range(224, 632) if payload['canonical']['start'][i] == 0 and payload['canonical']['final'][i] == 1} + header, det, _ = normal.make_header(r, cold) + footer = normal.inverse_header(header, 1) + need(len(header) == len(footer) == 379 and det == 64, 'whole joint normalization charged') + starts, centers, source = engine.emit(payload) + live = load(HERE/'live-4694-verify.py', 'live_predecessor_reference') + need(live.emit(payload) == (starts, centers, source), 'standard emitter unchanged despite cache addition') + final = payload['canonical']['final']+[0]*8 + observations = [{i: v for i, v in r[j].items() if i < 224} | {normal.J[j]: Q(1)} for j in range(8)] + word = header+source+footer + original, old_paid = evaluate(word, starts, final, frames) + need(original == target(abi, observations, set()), 'full normalized source ABI') + need(old_paid == Counter(engine.PAID), 'source recursive profile') + helpers = {i: len(frames[final[i]]) - len(frames[starts[i]]) for i in range(224, 632)} + need(Counter(helpers.values()) == Counter({4:28, 7:7, 8:47, 9:326}), 'helper target census') + screens = [] + groups = [(j,) for j in range(8)]+list(itertools.combinations(range(8), 2))+[tuple(range(8))] + for selected in groups: + tail, info = terminal(selected, abi, observations, final, frames, normal.J) + cost = Counter(info['extra_paid']); reward = Counter({8:len(selected)}) + need(cost[8] > reward[8] and cost[9] > 0, 'uniform negative moment coefficients') + debt = cost-reward + info.update(extra_paid={str(k):v for k,v in sorted(cost.items())}, + optimistic_extra_reward={'8':len(selected)}, + moment_delta_coefficients={str(k):-v for k,v in sorted(debt.items())}, + uniform_moment_delta_upper_bound=-sum(debt.values()), candidate_C_interval=['0','1'], + joint_normalization_gates=758, two_unshared_invocations_normalization_gates=1516) + screens.append(info) + selected = {0} + tail, _ = terminal(selected, abi, observations, final, frames, normal.J) + last_contacts = [] + for field in screens[0]['X']+screens[0]['Y']+screens[0]['pivots']: + index = next(k for k in range(len(word)-1, -1, -1) + if word[k][1] == field or (word[k][0] == 'add' and word[k][2] == field)) + need(word[index][0] == 'add', 'no last-contact Gaussian available for unilateral cancellation') + last_contacts.append(dict(field=field, source_event=index, event=word[index])) + actual, paid = evaluate(word+tail, starts, final, frames) + wanted = target(abi, observations, selected) + need(actual == wanted, 'chosen terminal full 640-input endpoint') + need(paid == old_paid+Counter({8:112, 9:114}), 'complete chosen terminal recursive bill') + inv = inverse(wanted) + _, _, dual_source = engine.emit(payload, dual=True) + dual_word = normal.dual_header(header)+dual_source+normal.dual_header(footer)+raw_dual(tail) + dual, dual_paid = evaluate(dual_word, starts, final, frames) + need(dual == transpose(inv) and dual_paid == paid, 'gatewise actual raw inverse transpose') + ownership = census(selected, normal.J, helpers) + credited = {row['input']: row for row in ownership} + inventory = [] + for i in range(N): + history = [e for e in word+tail if e[1] == i or (e[0] == 'add' and e[2] == i)] + if i in credited: + status = credited[i]['sector'] + elif i < 224: + status = 'retained-coupled-main-contract-no-new-credit' + else: + status = 'retained-coupled-center-no-credit' + inventory.append(dict(input=i, initial_chart=starts[i], final_chart=final[i], + independent_input=True, status=status, + new_reward_rank=8 if i == 632 else None, + inherited_helper_rank=helpers.get(i), + chronological_contact_count=len(history), + chronological_history_sha256=sha256(json.dumps(history,default=str).encode()).hexdigest())) + need([x['input'] for x in inventory] == list(range(N)), 'every arbitrary input has one ownership history') + controls = [] + bad = list(tail);bad.pop(next(i for i,e in enumerate(bad) if e[0]=='add' and e[2]<112)) + need(evaluate(word+bad, starts, final, frames)[0] != wanted, 'omitted R_X term rejected');controls.append('missing data observation') + bad = [e for e in tail if not (e[0]=='add' and e[1]<632)] + need(evaluate(word+bad, starts, final, frames)[0] != wanted, 'missing Y correction rejected');controls.append('missing center-to-Y correction') + bad = list(tail);e=bad[0];bad[0]=(*e[:4],e[4]-1) + need(rejected(lambda:evaluate(word+bad, starts, final, frames)), 'unpaid recursive width rejected');controls.append('undercharged transport') + need(rejected(lambda:evaluate(word+tail[1:], starts, final, frames)), 'missing chart conversion rejected');controls.append('missing chart conversion') + duplicate = ownership+[dict(ownership[0])] + need(rejected(lambda:validate_census(duplicate)), 'duplicate helper input rejected');controls.append('duplicate helper credit') + wrong = normal.dual_header(header)+dual_source+normal.dual_header(footer)+tail + need(evaluate(wrong, starts, final, frames)[0] != transpose(inv), 'wrong raw dual rejected');controls.append('forward tail used as dual') + # One-column phase-aware lowering of every distinct newly needed frame. + # Exact source compiler is reused; this is not independent full native replay. + ce = load(CE, 'retained_exact_clifford') + charts = sorted({final[i] for info in screens for i in info['X']+info['Y']+info['pivots']}) + lowerings = [] + for chart in charts: + f = ce.canonical_frame(9, tuple(frames[chart])) + strip = f.adjoint() + for direction, op in [('strip',strip), ('restore',f), + ('strip_raw_dual',conjugate_clifford(ce,strip)), + ('restore_raw_dual',conjugate_clifford(ce,f))]: + recipe, compiled = ce.lower_child(op) + need(rank([x for x,z,p in op.tab[9:]]) == recipe['rank'] == len(frames[chart]), 'actual new Fourier rank') + need(compiled.tab == op.tab and compiled.zero_state() == op.zero_state(), 'phase-aware literal lowering') + lowerings.append(dict(chart=chart, direction=direction, rank=recipe['rank'], recipe=recipe)) + unit = f.then(f.adjoint()) + need(unit.tab == ce.ident(9).tab and unit.zero_state() == ce.ident(9).zero_state(), 'true inverse with phase') + h = ce.canonical_frame(9, tuple(frames[1])) + z = ce.canonical_frame(9, tuple(frames[centers[0]['input_frame']])).adjoint() + support = [sum(v!=(0,0) for v in op.zero_state()[0]) for op in (h,z)] + need(support == [512,256], 'unmodified diagonal blocks cannot be one common multiplier') + query_inventory = [] + for j, center in enumerate(centers): + q = ce.canonical_frame(9, tuple(frames[center['input_frame']])).adjoint() + square = q.then(q) + monomial, record = ce.monomial(square) + fourth = square.then(square) + need(monomial.tab == square.tab and monomial.zero_state() == square.zero_state(), 'actual available monomial square') + need(fourth.tab == ce.ident(9).tab and fourth.zero_state() == ce.ident(9).zero_state(), 'actual order-four premise') + qt = conjugate_clifford(ce, q.adjoint()) + query_inventory.append(dict(center=j, input_frame=center['input_frame'], + physical_Q='inverse canonical rank-eight frame', + square_monomial=record, fourth_power_identity=True, + Q_is_symmetric=(qt.tab == q.tab and qt.zero_state() == q.zero_state()), + common_transverse_multiplier_realized=False)) + zt = conjugate_clifford(ce, z.adjoint()) + col, col_den = z.zero_state() + row, row_den = zt.zero_state() + need((col[10], col_den, row[10], row_den) == ((1,0),4,(-1,0),4), + 'literal physical-Q transpose counterexample at addresses zero and ten') + h_conj = conjugate_clifford(ce, h) + need(h_conj.zero_state() != h.zero_state(), 'raw inverse transpose is not the forward Gaussian') + controls.append('forward Gaussian substituted for raw inverse transpose') + consumer = load(SRC/'consumer.py','retained_conditional_consumer').check() + need(not consumer['native_provider_realized'], 'algebraic identity is not physical embedding') + # Positive scalar envelopes are bounds on whole-field ADD/SCALE growth; + # movement, child precision and Gaussian norm factors remain separate. + return dict(status='PASS_SCOPED_HETEROGENEOUS_TERMINAL_LOSES',new_kappa=None, + base_commit=pins['base_commit'],chosen=screens[0],screens=screens, + source_paid=dict(sorted(old_paid.items())),final_paid=dict(sorted(paid.items())), + source_word_sha256=sha256(json.dumps(word,default=str).encode()).hexdigest(), + full_terminal=tail,target_census=ownership,all_640_primal_and_raw_dual=True, + all_input_ownership_inventory=inventory, + unilateral_cancellation_last_contacts=last_contacts, + remaining_coupled_centers=list(range(1,8)),controls=controls, + selected_center_job='independent inverse rank-eight Gaussian; positive ordinary credit is optimistic', + heterogeneous_diagonal_column_support=support,new_lowerings=lowerings, + physical_query_inventory=query_inventory, + direct_center_Q_symmetry_witness=dict(center=0, row=10, column=0, + Q_row_column='1/16', Q_column_row='-1/16', + scope='actual center inverse used directly as candidate Q; other embeddings not excluded'), + added_boundary_bill=scalar_tariff(header+footer), + terminal_scalar_bill=scalar_tariff(tail), + native_source_scalar_bill=scalar_tariff(source), + full_scalar_bill=scalar_tariff(word+tail), + terminal_whole_field_l2_envelope=norm_envelope(tail), + full_whole_field_l2_envelope=norm_envelope(word+tail), + extra_monomial_wrapper_invocations_upper_count=452, + new_storage_owners=0, + phase_scope='new one-column nested Gaussian requests only; all-width tensor uses inherited source contract', + compiler_route='PR4610 fixed, no compiler or outer transfer attempted') + + +def main(): + ap=argparse.ArgumentParser(description=__doc__);ap.add_argument('--out',type=Path);args=ap.parse_args() + value=json.loads(json.dumps(run(),default=str)) + if args.out: + need(not args.out.exists(),'fresh output file required') + args.out.write_text(json.dumps(value,sort_keys=True,indent=2)+'\n') + else: + expected=json.loads((HERE/'RESULT.json').read_text()) + canonical=lambda x:json.dumps(x,sort_keys=True,separators=(',',':'),ensure_ascii=False) + need(canonical(value)==canonical(expected),'exact scientific receipt') + print('PASS_SCOPED_HETEROGENEOUS_TERMINAL_LOSES no_new_kappa') + + +if __name__=='__main__': + main()