Termination of narrowing revisited

  • Authors:
  • María Alpuente;Santiago Escobar;José Iborra

  • Affiliations:
  • Universidad Politécnica de Valencia, Valencia, Spain;Universidad Politécnica de Valencia, Valencia, Spain;Universidad Politécnica de Valencia, Valencia, Spain

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2009

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Abstract

This paper describes several classes of term rewriting systems (TRS's), where narrowing has a finite search space and is still (strongly) complete as a mechanism for solving reachability goals. These classes do not assume confluence of the TRS. We also ascertain purely syntactic criteria that suffice to ensure the termination of narrowing, and include several subclasses of popular TRS's such as right-linear TRS's, almost orthogonal TRS's, topmost TRS's, and left-flat TRS's. Our results improve and/or generalize previous criteria in the literature regarding narrowing termination.