E-generalization using grammars

  • Authors:
  • Jochen Burghardt

  • Affiliations:
  • Institute for Computer Architecture and Software Technology, Berlin, Germany

  • Venue:
  • Artificial Intelligence
  • Year:
  • 2005

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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.