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A Certificate-Producing Cascade for Equational Implication: The SAIR EQT2 Stage 2 Solver

arXiv · AI, language, vision and robotics · article · Sep 1, 2026 · UTC

The SAIR Mathematics Distillation Challenge on Equational Theories asks a solver to classify whether one magma identity implies another and, for either verdict, to return a certificate accepted by a deterministic Lean judge. We present a single-file solver organized as a cheapest-first cascade. Its false branch combines coefficient tests over structured algebra families, bounded finite-model search, an explicit central-groupoid witness, and several infinite-carrier witnesses. Its true branch is a proof-producing ordered unit superposition procedure with Knuth-Bendix ordering, bidirectional dem

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First collected: 2026-09-21T06:21:59.299Z. This is not the publication date.