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Communication Dans Un Congrès Année : 2021

Mining counterexamples for wide-signature algebras with an Isabelle server

Résumé

We propose an approach for searching for counterexamples of statements about algebraic structures with a medium-sized signature using the Isabelle proof assistant in an efficient, parallel manner. We contribute a Python client Isabelle server and other scripts implementing our approach, and provide results of our computational experiments. In particular, our experiments yield counterexamples that resolve a previously open question regarding the interdependencies between distributive-like identities in residuated binars.
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Dates et versions

hal-03343743 , version 1 (12-07-2024)

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Wesley Fussner, Boris Shminke. Mining counterexamples for wide-signature algebras with an Isabelle server. 6th Conference on Artificial Intelligence and Theorem Proving, Sep 2021, Aussois, France. ⟨10.48550/arXiv.2109.05264⟩. ⟨hal-03343743⟩
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