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T94 retained-tail allocation on PR2802: conditional kappa 0.001717795160032012107407 - #2824
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… PR2766 provenance, root-bracket precision - Occupancy: add controls C4c-C4f (extra-word lender 403, lender writes moved to the end of restore at frame FULL, a moved lender read) with machine-checked must-accept / exact-failing expectations. A lender write moved past its alias warp at FULL is accepted by both replays, the frame chain, recount, refits, fill and price; only OCC-TIMELINE (plus undeclared-edit checks) rejects it. Occupancy is therefore a conformance property, not a kappa-soundness condition, in the finite model; #2802 enforces it structurally in verify_retired7.py, #2818's patch check has no occupancy predicate (read, not run). Corrects the earlier "only frame monotonicity" wording. - Attribution: compare against PR2766's own pinned word (only B1151 differs); the other 19 frames #2802 lists with it are checked cost-neutral; the reconstructed retired5 state now matches #2802's recorded endpoint, local profile and fill sha256. - New rule S3-ABOVE-FLOOR-NEUTRAL: the seven above-floor refit5c frames carry no cost. - Root bracket: the 1e-70 slack was applied in the default 28-digit Decimal context, where it rounds away; widening now uses a 100-digit directed context, with a written error budget. Conclusions unchanged (margins >= 1.0e-20 in all four brackets). - Verifier emits prelude warp count, 35/14/14 split and refit7c dims; a pin mismatch prints a FAIL line. README adds "What this decides", terms, downstream claims #2824/#2827/#2833, credits (#2315, #2656, #2767, #2322), and Python-version scope. PASS_T74_RETIRED7_INCREMENT_AUDIT rules=28/28 controls=19/19 Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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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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The complete T94 allocation raises the conditional finite-supplier headline from PR2802's 0.001717794984118634663827 lower certificate to 0.0017177951600320121074069999999999999999999998999999999999999999999999. The exact gain is 8795668872179/50000000000000000000000. Increasing replicas 74 to 94 amortizes the same explicitly charged positive residue; 345,168 literal owner roles compose with the credited retired7 native construction.
Both changed native providers freshly passed all five stages; unchanged retained providers/parent were reused only after exact source, word, full-cache and receipt checks. All changed T94 source events, owner geometry, physical invoice, ordinary bootstrap and modern outer/full release checks passed. Independent literal owners and directed rational moments passed seven geometry and five pricing corruptions. The Mathlib-only Lean 4.34.1 proof freshly passed kernel and complete 61-declaration transitive-axiom audit plus four real ownership/axiom fixtures.
This retains inherited all-size/compiler/source-access/hosting/precision/tape/recovery/ordinary-recursion/bit-supplier/analytic-transfer hypotheses. The formal module certifies its universal paid-cost inequalities; finite release does not prove the full multiplication theorem. See FRONTIER.md for exact current pins, bounded overlap coverage and attribution. No selected-result record or public discussion was changed.