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Joint safety criterion and least-barrier update for coefficient changes - #5309
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Mister-Meeseeks merged 1 commit intoOct 23, 2026
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This scoped proof replaces separate coefficient checks with one exact joint condition. For a nonnegative rank-k subtraction from a retained comparison matrix, the updated matrix has a positive barrier exactly when the small feedback matrix has spectral radius below one. A rational example passes each separate test but fails jointly. The complete kappa calculation is unchanged.
Proof and scope, exact checker, replay declaration, and source provenance are pinned to the reviewed commit. Base: canonical main
ff3cc58e370d0f678e529246f8c73e8094e18fcf, priority revision 7.The initial proof and standalone check are in Discussion #5297.
CPython 3.12.14 registered normal and optimized replays passed: 375 updates, 8,112 principal-window residual vertices and four singular boundaries. Both print
PASS_COUPLED_BARRIER; the launcher printsPASS_REGISTERED_RESEARCH_PACKAGE. All five package files match their committed bytes, and the base is an ancestor of the package commit.Use Python 3.12 and the standard library. No external runtime inputs or third-party Python packages are required. Hosted planning and the registered package replay passed on this exact head in run 39990608016. No predecessor scientific suite, selected cold replay, native replay, compiler, Lean or Docker build was run. The optional full-history preflight is unavailable in this shallow checkout. Finite checks corroborate the written proof; they do not constitute independent human or proof-kernel acceptance.
Bind a real multi-coefficient update to fixed nonnegative directions and price the complete update. Source preparation, native operations, precision, movement, and supplier/outer admission remain separate obligations.
Credit Nick Petalas's PR #5119 and least-barrier proof, Ali Romman's Discussion #5263 rank-one update, David Ganz / Dugongue's PR #3872, and Jose Manuel's PR #3851 setup fixture. Woodbury, M-matrix and Perron-Frobenius theory are classical; no general priority claim is made.
Prepared by Ali Romman with substantial OpenAI Codex assistance; Apache-2.0.