Dealing with Non-orientable Equations in Rewriting Induction

  • Takahito Aoto
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4098)


Rewriting induction (Reddy, 1990) is an automated proof method for inductive theorems of term rewriting systems. Reasoning by the rewriting induction is based on the noetherian induction on some reduction order. Thus, when the given conjecture is not orientable by the reduction order in use, any proof attempts for that conjecture fails; also conjectures such as a commutativity equation are out of the scope of the rewriting induction because they can not be oriented by any reduction order. In this paper, we give an enhanced rewriting induction which can deal with non-orientable conjectures. We also present an extension which intends an incremental use of our enhanced rewriting induction.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Takahito Aoto
    • 1
  1. 1.Research Institute of Electrical CommunicationTohoku UniversityJapan

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