Newman's lemma

id: newman-s-lemma-285-17897073
title: Newman's lemma
text: In mathematics, in the theory of rewriting systems, Newman's lemma, also commonly called the diamond lemma, states that a terminating abstract rewriting system (ARS), that is, one in which there are no infinite reduction sequences, is confluent if it is locally confluent. In fact a terminating ARS is confluent precisely when it is locally confluent. Equivalently, for every binary relation with no decreasing infinite chains and satisfying a weak version of the diamond property, there is a unique
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original url: https://en.wikipedia.org/wiki/Newman%27s_lemma
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date modified: 2024-03-01T13:34:24Z
main entity: {"identifier":"Q1208706","url":"https://www.wikidata.org/entity/Q1208706"}
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