International Conference on Automated Deduction

CADE 1988: 9th International Conference on Automated Deduction pp 182-196

Finding canonical rewriting systems equivalent to a finite set of ground equations in polynomial time

  • Jean Gallier
  • Paliath Narendran
  • David Plaisted
  • Stan Raatz
  • Wayne Snyder
Conference paper

DOI: 10.1007/BFb0012832

Volume 310 of the book series Lecture Notes in Computer Science (LNCS)
Cite this paper as:
Gallier J., Narendran P., Plaisted D., Raatz S., Snyder W. (1988) Finding canonical rewriting systems equivalent to a finite set of ground equations in polynomial time. In: Lusk E., Overbeek R. (eds) 9th International Conference on Automated Deduction. CADE 1988. Lecture Notes in Computer Science, vol 310. Springer, Berlin, Heidelberg

Abstract

In this paper, it is shown that there is an algorithm which, given any finite set E of ground equations, produces a reduced canonical rewriting system R equivalent to E in polynomial time. This algorithm based on congruence closure performs simplification steps guided by a total simplification ordering on ground terms, and it runs in time O(n3).

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Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Jean Gallier
    • 1
  • Paliath Narendran
    • 2
  • David Plaisted
    • 3
  • Stan Raatz
    • 4
  • Wayne Snyder
    • 1
  1. 1.University of PennsylvaniaPhiladelphia
  2. 2.General Electric Company Corporate Research and DevelopmentSchenectady
  3. 3.University of North CarolinaChapel Hill
  4. 4.Rutgers UniversityNew Brunswick