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Knuth-Bendix procedure and non deterministic behavior. An example

Abstract : In this note, we present and study a typical example to illustrate the non determinism of the Knuth-Bendix algorithm with respect to the ordering it uses. Our example shows how different orderings on terms lead to different completion processes, and how eleven different completion sessions produce only two different rewrite systems.
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https://hal.inria.fr/inria-00075819
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 7:05:49 PM
Last modification on : Thursday, February 11, 2021 - 2:48:31 PM
Long-term archiving on: : Friday, May 13, 2011 - 3:30:31 PM

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  • HAL Id : inria-00075819, version 1

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Isabelle Gnaedig. Knuth-Bendix procedure and non deterministic behavior. An example. [Research Report] RR-0733, INRIA. 1987. ⟨inria-00075819⟩

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