Knuth-Bendix Constraint Solving Is NP-Complete

  • Authors:
  • Konstantin Korovin;Andrei Voronkov

  • Affiliations:
  • -;-

  • Venue:
  • ICALP '01 Proceedings of the 28th International Colloquium on Automata, Languages and Programming,
  • Year:
  • 2001

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Abstract

We show the NP-completeness of the existential theory of term algebras with the Knuth-Bendix order by giving a nondeterministic polynomial-time algorithm for solving Knuth-Bendix ordering constraints.