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Mining counterexamples for wide-signature algebras with an Isabelle server

by   Wesley Fussner, et al.
Université Nice Sophia Antipolis
Université Côte d'Azur

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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