On confluence of infinitary combinatory reduction systems

  • Authors:
  • Jeroen Ketema;Jakob Grue Simonsen

  • Affiliations:
  • Department of Computer Science, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands;Department of Computer Science, University of Copenhagen (DIKU), Copenhagen Ø, Denmark

  • Venue:
  • LPAR'05 Proceedings of the 12th international conference on Logic for Programming, Artificial Intelligence, and Reasoning
  • Year:
  • 2005

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Abstract

We prove that fully-extended, orthogonal infinitary combinatory reduction systems with finite right-hand sides are confluent modulo identification of hypercollapsing subterms. This provides the first general confluence result for infinitary higher-order rewriting.