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Rewriting in Varieties of Idempotent Semigroups

  • Ondřej Klíma
  • Miroslav Korbelář
  • Libor Polák
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6742)

Abstract

We consider rewriting as a tool for solving identity problems in varieties of idempotent semigroups. It is known that there exist finite canonical term rewrite systems and finite canonical word rewrite systems for only a very limited number of those varieties. We present a finite canonical conditional word rewrite system for a particular variety in which the classical approaches cannot be applied. Moreover, we obtain infinite single letter deleting rewrite systems for each join-irreducible variety.

Keywords

Rewriting identity problems varieties of semigroups 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Ondřej Klíma
    • 1
  • Miroslav Korbelář
    • 1
  • Libor Polák
    • 1
  1. 1.Department of Mathematics and StatisticsMasaryk UniversityBrnoCzech Republic

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