Implementing Anti-Unification Modulo Equational Theory

Jochen Burghardt; Birgit Heinz

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arXiv · 1404.0953

Implementing Anti-Unification Modulo Equational Theory

Jochen Burghardt·Birgit Heinz

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Abstract

We present an implementation of E-anti-unification as defined in Heinz (1995), where tree-grammar descriptions of equivalence classes of terms are used to compute generalizations modulo equational theories. We discuss several improvements, including an efficient implementation of variable-restricted E-anti-unification from Heinz (1995), and give some runtime figures about them. We present applications in various areas, including lemma generation in equational inductive proofs, intelligence tests, diverging Knuth-Bendix completion, strengthening of induction hypotheses, and theory formation about finite algebras.

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Jochen Burghardt, Birgit Heinz. 2014-04-01. Implementing Anti-Unification Modulo Equational Theory. https://arxiv.org/abs/1404.0953

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