Regular Sets of Descendants for Constructor-Based Rewrite Systems

  • Authors:
  • Pierre Réty

  • Affiliations:
  • -

  • Venue:
  • LPAR '99 Proceedings of the 6th International Conference on Logic Programming and Automated Reasoning
  • Year:
  • 1999

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Abstract

Starting from the reguletr tree language E of ground constructor-instances of any linear term, we build a finite tree automaton that recognizes the set of descendants R* (E) of E for a constructor-based term rewrite system whose right-hand-sides fulfill the following three restrictions: linearity, no nested function symbols, function arguments are variables or ground terms. Note that left-linearity is not assumed. We next present severed applications.