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arXiv · 2109.05264

Mining counterexamples for wide-signature algebras with an Isabelle server

Wesley Fussner·Boris Shminke
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Abstract

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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Wesley Fussner, Boris Shminke. 2021-09-11. Mining counterexamples for wide-signature algebras with an Isabelle server. https://arxiv.org/abs/2109.05264

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