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- Newman's_lemma abstract "In mathematics, in the theory of rewriting systems, Newman's lemma, also commonly called the diamond lemma, states that a terminating (or strongly normalizing) 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 minimal element in every connected component of the relation considered as a graph.Today, this is seen as a purely combinatorial result based on well-foundedness due to a proof of Gérard Huet in 1980. Newman's original proof was considerably more complicated.".
- Newman's_lemma wikiPageExternalLink ~terese.
- Newman's_lemma wikiPageExternalLink TRaAT.
- Newman's_lemma wikiPageExternalLink newmansproof.pdf.
- Newman's_lemma wikiPageID "6038529".
- Newman's_lemma wikiPageRevisionID "586345824".
- Newman's_lemma hasPhotoCollection Newman's_lemma.
- Newman's_lemma title "Diamond lemma".
- Newman's_lemma urlname "diamondlemma".
- Newman's_lemma subject Category:Lemmas.
- Newman's_lemma subject Category:Rewriting_systems.
- Newman's_lemma subject Category:Wellfoundedness.
- Newman's_lemma type Artifact100021939.
- Newman's_lemma type Instrumentality103575240.
- Newman's_lemma type Object100002684.
- Newman's_lemma type PhysicalEntity100001930.
- Newman's_lemma type RewritingSystems.
- Newman's_lemma type System104377057.
- Newman's_lemma type Whole100003553.
- Newman's_lemma comment "In mathematics, in the theory of rewriting systems, Newman's lemma, also commonly called the diamond lemma, states that a terminating (or strongly normalizing) abstract rewriting system (ARS), that is, one in which there are no infinite reduction sequences, is confluent if it is locally confluent.".
- Newman's_lemma label "Diamond Lemma".
- Newman's_lemma label "Lema de Newman".
- Newman's_lemma label "Newman's lemma".
- Newman's_lemma sameAs Diamond_Lemma.
- Newman's_lemma sameAs Lema_de_Newman.
- Newman's_lemma sameAs m.0flx50.
- Newman's_lemma sameAs Q1208706.
- Newman's_lemma sameAs Q1208706.
- Newman's_lemma sameAs Newman's_lemma.
- Newman's_lemma wasDerivedFrom Newman's_lemma?oldid=586345824.
- Newman's_lemma isPrimaryTopicOf Newman's_lemma.