Confluence without termination via parallel critical pairs

  • Bernhard Gramlich
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1059)


We present a new criterion for confluence of (possibly) non-terminating left-linear term rewriting systems. The criterion is based on certain strong joinability properties of parallel critical pairs. We show how this criterion relates to other well-known results, consider some special cases and discuss some possible extensions.


Critical Pair Parallel Reduction Parallel Position Unification Problem Parallel Step 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Bernhard Gramlich
    • 1
  1. 1.FB InformatikUniv. KaiserslauternKaiserslauternGermany

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