A path ordering for proving termination of term rewriting systems

  • D. Kapur
  • P. Narendran
  • G. Sivakumar
Colloquium On Trees In Algebra And Programming Rewriting
Part of the Lecture Notes in Computer Science book series (LNCS, volume 185)


A new partial ordering scheme for proving uniform termination of term rewriting systems is presented. The basic idea is that two terms are compared by comparing the paths through them. It is shown that the ordering is a well-founded simplification ordering and also a strict extension of the recursive path ordering scheme of Dershowitz. Terms can be compared under this path ordering in polynomial time.


Function Symbol Term Comparison Uniform Termination Full Path Term Rewrite System 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • D. Kapur
    • 1
  • P. Narendran
    • 1
  • G. Sivakumar
    • 2
  1. 1.Computer Science Branch Corporate Research and DevelopmentGeneral Electric CompanySchenectady
  2. 2.Dept. of Computer ScienceUniversity of IllinoisUrbana-Champaign

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