English

Knuth-Bendix constraint solving is NP-complete

Logic in Computer Science 2007-05-23 v1

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.

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Cite

@article{arxiv.cs/0207068,
  title  = {Knuth-Bendix constraint solving is NP-complete},
  author = {Konstantin Korovin and Andrei Voronkov},
  journal= {arXiv preprint arXiv:cs/0207068},
  year   = {2007}
}

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27 pages