The confluence problem for flat TRSs

  • Authors:
  • Ichiro Mitsuhashi;Michio Oyamaguch;Florent Jacquemard

  • Affiliations:
  • Mie University;Mie University;INRIA-Futurs and LSV, UMR CNRS ENS Cachan

  • Venue:
  • AISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Symbolic Computation
  • Year:
  • 2006

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Abstract

We prove that the properties of reachability, joinability and confluence are undecidable for flat TRSs. Here, a TRS is flat if the heights of the left and right-hand sides of each rewrite rule are at most one.