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Knuth–Bendix completion algorithm

Known as: Knuth–Bendix algorithm, Knuth–Bendix completion, Bendix 
The Knuth–Bendix completion algorithm (named after Donald Knuth and Peter Bendix) is a semi-decision algorithm for transforming a set of equations… Expand
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Papers overview

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Highly Cited
2000
Highly Cited
2000
We present techniques to prove termination and innermost termination of term rewriting systems automatically. In contrast to… Expand
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Highly Cited
1994
Highly Cited
1994
OTTER (Organized Techniques for Theorem-proving and Effective Research) is a resolution-style theorem-proving program for first… Expand
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Review
1989
Review
1989
  • Alf Smith
  • Z User Workshop
  • 1989
  • Corpus ID: 60951711
Proving that something is a consequence of a set of axioms can be very difficult. The Knuth-Bendix completion algorithm attempts… Expand
Highly Cited
1983
Highly Cited
1983
Abstract We show that in a free F-algebra endowed with a strict order we can associate with a complete rewriting system in the… Expand
1982
1982
The process of algebraic abstract data type completion has some similarities with resolution theorem-proving. In particular, some… Expand
Highly Cited
1981
Highly Cited
1981
  • G. Huet
  • J. Comput. Syst. Sci.
  • 1981
  • Corpus ID: 16602345
Abstract We give in this paper a complete description of the Knuth-Bendix completion algorithm. We prove its correctness in full… Expand
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Highly Cited
1980
Highly Cited
1980
  • G. Huet
  • J. ACM
  • 1980
  • Corpus ID: 10264997
This paper gives new results, and presents old ones m a umfied formahsm, concerning ChurchRosser theorems for rewrmng systems… Expand
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Highly Cited
1980
Highly Cited
1980
Fay has described in [2,3] a complete T-unification for equational theories T which possess a complete set of reductions as… Expand
Highly Cited
1979
Highly Cited
1979
A microchannel plate (MCP) is an array of 104-107 miniature electron multipliers oriented parallel to one another (fig. 1… Expand
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Highly Cited
1977
Highly Cited
1977
  • G. Huet
  • 18th Annual Symposium on Foundations of Computer…
  • 1977
  • Corpus ID: 206558490
This paper gives new results, and presents old ones in a unified formalism, concerning Church-Rosser theorems for rewriting… Expand