Böhm-Like Trees for Term Rewriting Systems

  • Jeroen Ketema
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3091)


In this paper we define Böhm-like trees for term rewriting systems (TRSs). The definition is based on the similarities between the Böhm trees, the Lévy-Longo trees, and the Berarducci trees. That is, the similarities between the Böhm-like trees of the λ-calculus. Given a term t a tree partially represents the root-stable part of t as created in each maximal fair reduction of t. In addition to defining Böhm-like trees for TRSs we define a subclass of Böhm-like trees whose members are monotone and continuous.


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© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Jeroen Ketema
    • 1
  1. 1.Department of Computer Science Faculty of SciencesVrije Universiteit AmsterdamAmsterdamThe Netherlands

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