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Conditional kappa ≈ 0.00171714158635 via joint twelve-source recovery - #2751
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An independent, source-bound verification of this PR at head It checks:
Small, non-blocking wording notes:
Details and the remaining author-checked items are in #2865 and Discussion #2612. |
Mister-Meeseeks
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#2818 Fresh standard-library checks of the seven declared stages on both T74 words: event diff and own stage-by-stage rebuild, per-register occupancy timeline, forward/dual free-algebra replay plus a matrix realisation, GF(2) warp frames and refit exactness, profile and inventory recount by two subspace representations, the 271728-role fill with R derived from the words, the complete profile, mass and root bracket, and the PR2766/retired5/retired7 gain attribution. 26/26 rules pass and 15/15 negative controls are rejected by their named rules. #2818's words, fill, order and providers are byte-identical. No kappa claim; inherited obligations remain. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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Conditional kappa 0.001717794984118634663827 - 1e-46 - 1e-70 (+6.534e-7 over #2751, +5.380e-7 over #2766 and #2767). New package research/t74-joint-twelve-retired7; #2751's directory is unchanged. It contains the five retired-lender aliases of the local retired5 construction (606<-550, 635<-551, 637<-552, 638<-553, 639<-562) and adds two hostee moves: the #2226 borrows of B-warps 30/31 move from lenders 401/403 (own lives ended in A) onto the free retired lenders 564/565 (last gates refit to their exact floor, dim 6 -> 5), which frees 401/403 for two more #2679-type aliases 667<-401 and 669<-403 (+3.857e-7 over retired5). Stage inputs refit7/hostmove2/ alias7/refit7c with exact structure checks and 25 tamper controls per word (retired7_controls.py), certified optimal frames, the compacted owner fill (271728 roles, R 408), checker adaptations (RETIRED7-CODE.patch), a registered bounded hook and evidence.
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… floor Adds research/t74-2751-joint-twelve-audit, a standard-library, source-bound independent verification of open PR #2751 (tekuuu, head 4cfbb0c; T74 joint twelve-lender recovery, conditional kappa ~0.0017171416). It also adds a computed reconciliation with open PR #2720 (petalas, head 813fae6; fixed-contract inherited-correction floor). PR files are read as 49 pinned git objects and never executed. No defect found. - Both words are exact in the free-operator model through cleanup and the target endpoint, forward and dual. All 12 lenders and all 4 pair recoveries are checked. - The change set and per-word delta 4(H8-H7-H1) are checked against PR2733@2761b52b. - PR2720's Q (det -1/16) is reproduced on its own input words. On PR2751's words the projection is zero on its rows; the correction moves to 21/37/47/110 (det 1/2), which are never cut-written. - PR2720's hypotheses are evaluated from verbatim quotes. Changed: h1, h2a, h3, line-30. Kept: h2b, h2c, cut incidences, zero readers, rank-8. - The complete profile is rebuilt from 276,390 roles in two implementations; also checked: stock 66801, the endpoint enclosure, and the comparison with PR2733's current head. - The #2766/#2767 profile identity and the downstream word structure (#2802, #2818, #2824, #2827, #2833) are checked. - 356/356 negative controls are rejected, each by its named rule, with 9 positive controls. No new kappa; the selected frontier is unchanged. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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Original authors and exact source bytes preserved. Source-only intake and all remaining scientific obligations recorded in research/community-efficient2200-audit. No selected frontier change. PRs: #2581, #2597, #2622, #2629, #2634, #2639, #2677, #2691, #2694, #2696, #2697, #2700, #2711, #2715, #2718, #2724, #2728, #2743, #2748, #2749, #2751, #2753, #2757, #2764, #2766, #2773, #2784, #2790, #2802, #2804, #2806, #2809, #2816, #2819, #2823, #2824, #2826, #2827, #2862, #2863, #2864, #2865, #2866, #2871, #2923, #2924, #2925, #2927, #2930, #2931, #2932, #2933, #2934, #2935, #2938, #2939, #2940, #2941, #2942, #2943, #2944, #2947, #2949
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This jointly reassigns all twelve T74 source aliases, including the four older recovery paths held fixed by PR2720. All eight central recursive children remain rank8. After composing PR2679's six pre-life hosts/refit and PR2673's complete owner allocation, the new conditional κ is 0.001717141586348426338109…, about 0.05834% above PR2733 and PR2745. The exact rational is
0.001717141586348426338109 - 10^-46 - 10^-70; the selected frontier is unchanged.The four changed
(removed helper, source, partner)assignments are(696,33,49),(697,55,101),(698,74,83),(700,85,98). PR2696's eight assignments are retained. Both members of each old source pair are recovered after their last original uses; all compensation and inverse cleanup are generated from the actual symbolic word. The twelve lifted target offsets avoid every cut target. This changes PR2720's fixed-path premise rather than contradicting its scoped obstruction.The full profile improves by
2664*(H8-H7-H1)relative to PR2733; strict subadditivity proves a smaller paid moment for0<p<1. Physical stock remains66801, with415 helpers,72 private buffers,666 calls and276390 hosted roles. The complete profile is{1:1593072,2:430236,3:204396,4:79920,5:22532,8:5328,32:1,48:26558}. Every source recovery, frame, copy, cleanup, child and idle remainder is charged.Validation:
EVIDENCE.json.python3.12 -B scripts/research_package.py --package research/t74-joint-twelve # Full release (install package requirements.txt; fresh external directory): python3 -B research/t74-joint-twelve/full_replay.py --work /tmp/FRESH-joint-twelveOnly
research/t74-joint-twelve/is added: approximately5.8MB including compressed complete certificates, portable generator and a readable derivative-checker patch. No giant predecessor source import. Mutation adaptations retain failure coverage for actual changed gates and unsplit centre descents. The generic coverage-law cap is.001750373331784, realized fraction.9810144814068302; no sharp packing optimum is claimed.Scientific base
c22e42de697334df85337e005864773cdc2bc98b; canonical main fetched through7ef5f7150476fdf995b286b9cdbed262c631939c, relevant guidance and selected record unchanged. Submission overlap includes727 open PR bodies and recent discussions; limits and exact heads are inFRESHNESS.json.Prepared by Tekalign (@tekuuu) with substantial OpenAI Codex assistance. Credit Mason Hale/2696, Philippe Van Velzen/2679/2559, Jeremy Kothe/2462/2588/2673/2745, zxv/2530, themilkman216/2621, Marius-Paul Dumitrean/2733, Cinna Davis/2226, the2436 lifted-target work and retained native/owner/bit/outer lineage. Notices are preserved; new work Apache-2.0. No independent human or proof-assistant review claimed.
This is a conditional construction, not an unconditional multiplication theorem or practical speed benchmark. Inherited all-size/compiler, common-label/source access, physical hosting/routing, precision/tape, recovery/analytic transfer, recurrence, bit-supplier and outer assumptions remain. README includes open next questions.