From Outermost to Context-Sensitive Rewriting

  • Authors:
  • Jörg Endrullis;Dimitri Hendriks

  • Affiliations:
  • Vrije Universiteit Amsterdam,;Vrije Universiteit Amsterdam,

  • Venue:
  • RTA '09 Proceedings of the 20th International Conference on Rewriting Techniques and Applications
  • Year:
  • 2009

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Abstract

We define a transformation from term rewriting systems (TRSs) to context-sensitive TRSs in such a way that termination of the target system implies outermost termination of the original system. For the class of left-linear TRSs the transformation is complete. Thereby state-of-the-art termination methods and automated termination provers for context-sensitive rewriting become available for proving termination of outermost rewriting. The translation has been implemented in Jambox, making it the most successful tool in the category of outermost rewriting of the last edition of the annual termination competition.