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Conditional semi-Thue systems for presenting monoids

  • Thomas Deiß
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 577)

Abstract

There are well known examples of monoids in literature which do not admit a finite and canonical presentation by a semi-Thue system over a fixed alphabet, not even over an arbitrary alphabet. We introduce conditional Thue and semi-Thue systems similar to conditional term rewriting systems as defined by Kaplan. Using these conditional semi-Thue systems we give finite and canonical presentations of the examples mentioned above. Furthermore we show, that every finitely generated monoid with decidable word problem is embeddable in a monoid which has a finite canonical conditional presentation.

Keywords

Word Problem Turing Machine Minimal Solution Critical Pair Conditional Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Thomas Deiß
    • 1
  1. 1.Fachbereich InformatikUniversität KaiserslauternKaiserslauternGermany

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