Innermost Termination of Rewrite Systems by Labeling

  • Authors:
  • René Thiemann;Aart Middeldorp

  • Affiliations:
  • Institute of Computer Science, University of Innsbruck, 6020 Innsbruck, Austria;Institute of Computer Science, University of Innsbruck, 6020 Innsbruck, Austria

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2008
  • Root-Labeling

    RTA '08 Proceedings of the 19th international conference on Rewriting Techniques and Applications

  • Search Techniques for Rational Polynomial Orders

    Proceedings of the 9th AISC international conference, the 15th Calculemas symposium, and the 7th international MKM conference on Intelligent Computer Mathematics

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Abstract

Semantic labeling is a powerful transformation technique for proving termination of term rewrite systems. The semantic part is given by a model or a quasi-model of the rewrite rules. A variant of semantic labeling is predictive labeling where the quasi-model condition is only required for the usable rules. In this paper we investigate how semantic and predictive labeling can be used to prove innermost termination. Moreover, we show how to reduce the set of usable rules for predictive labeling even further, both in the termination and the innermost termination case.