The Knuth-Bendix algorithm and the conjugacy problem in monoids

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Abstract

We present an algorithmic approach to the conjugacy problem in monoids, using rewriting systems. We extend the classical theory of rewriting developed by Knuth and Bendix to a rewriting that takes into account the cyclic conjugates.

Original languageEnglish
Pages (from-to)181-196
Number of pages16
JournalSemigroup Forum
Volume82
Issue number1
DOIs
StatePublished - Feb 2011
Externally publishedYes

Keywords

  • Braid monoid
  • Conjugacy problem
  • Rewriting system

ASJC Scopus subject areas

  • Algebra and Number Theory

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