An upper bound on the derivational complexity of Knuth--Bendix orderings

  • Authors:
  • Dieter Hofbauer

  • Affiliations:
  • Universität Kassel, Fachbereich 17 Mathematik/Informatik, D-34109 Kassel, Germany

  • Venue:
  • Information and Computation - Special issue: ICC '99
  • Year:
  • 2003

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Abstract

The derivational complexity of a terminating rewrite system is a measure for the maximal length of rewrite sequences. We study the influence of certain standard termination criteria on the derivational complexity. In this paper we prove a uniform multiple recursive upper bound for Knuth-Bendix orderings. This continues work by Hofbauer and Lautemann [13], where it has been shown that primitive recursive bounds are impossible.