Nominal completion for rewrite systems with binders

  • Authors:
  • Maribel Fernández;Albert Rubio

  • Affiliations:
  • Dept. of Informatics, King's College London, UK;LSI, Technical University of Catalonia, Barcelona, Spain

  • Venue:
  • ICALP'12 Proceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part II
  • Year:
  • 2012

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Abstract

We design a completion procedure for nominal rewriting systems, based on a generalisation of the recursive path ordering to take into account alpha equivalence. Nominal rewriting generalises first-order rewriting by providing support for the specification of binding operators. Completion of rewriting systems with binders is a notably difficult problem; the completion procedure presented in this paper is the first to deal with binders in rewrite rules.