Tree automata for rewrite strategies

  • Authors:
  • Pierre Réty;Julie Vuotto

  • Affiliations:
  • LIFO - Université dOrléans, B.P. 6759, 45067 Orléans cedex 2, France;LIFO - Université dOrléans, B.P. 6759, 45067 Orléans cedex 2, France

  • Venue:
  • Journal of Symbolic Computation
  • Year:
  • 2005

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Abstract

For a constructor-based rewrite system R, a regular set of ground terms E, and assuming some additional restrictions, we build finite tree automata that recognize the descendants of E, i.e. the terms issued from E by rewriting, according to innermost, outermost, leftmost, and innermost-leftmost strategies.