Generalized innermost rewriting

  • Authors:
  • Jaco van de Pol;Hans Zantema

  • Affiliations:
  • Department of Software Engineering, CWI, Amsterdam, The Netherlands;Department of Computer Science, TU Eindhoven, Eindhoven, The Netherlands

  • Venue:
  • RTA'05 Proceedings of the 16th international conference on Term Rewriting and Applications
  • Year:
  • 2005
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Abstract

We propose two generalizations of innermost rewriting for which we prove that termination of innermost rewriting is equivalent to termination of generalized innermost rewriting. As a consequence, by rewriting in an arbitrary TRS certain non-innermost steps may be allowed by which the termination behavior and efficiency is often much better, but never worse than by only doing innermost rewriting.