Knuth–Bendix completion algorithm

id: knuth-bendix-completion-algorithm-242-17417456
title: Knuth–Bendix completion algorithm
text: The Knuth–Bendix completion algorithm is a semi-decision algorithm for transforming a set of equations into a confluent term rewriting system. When the algorithm succeeds, it effectively solves the word problem for the specified algebra. Buchberger's algorithm for computing Gröbner bases is a very similar algorithm. Although developed independently, it may also be seen as the instantiation of Knuth–Bendix algorithm in the theory of polynomial rings.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Knuth%E2%80%93Bendix_completion_algorithm
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date modified: 2023-03-27T14:46:08Z
main entity: {"identifier":"Q2835803","url":"https://www.wikidata.org/entity/Q2835803"}
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integrity: 13

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