E-Generalization Using Grammars

Jochen Burghardt

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arXiv · 1403.8118

E-Generalization Using Grammars

Jochen Burghardt

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Abstract

We extend the notion of anti-unification to cover equational theories and present a method based on regular tree grammars to compute a finite representation of E-generalization sets. We present a framework to combine Inductive Logic Programming and E-generalization that includes an extension of Plotkin's lgg theorem to the equational case. We demonstrate the potential power of E-generalization by three example applications: computation of suggestions for auxiliary lemmas in equational inductive proofs, computation of construction laws for given term sequences, and learning of screen editor command sequences.

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Jochen Burghardt. 2014-03-28. E-Generalization Using Grammars. https://arxiv.org/abs/1403.8118

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