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- Newmans_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.".
- Newmans_lemma wikiPageExternalLink ~terese.
- Newmans_lemma wikiPageExternalLink TRaAT.
- Newmans_lemma wikiPageExternalLink newmansproof.pdf.
- Newmans_lemma wikiPageID "6038529".
- Newmans_lemma wikiPageLength "4472".
- Newmans_lemma wikiPageOutDegree "22".
- Newmans_lemma wikiPageRevisionID "702639399".
- Newmans_lemma wikiPageWikiLink Abstract_rewriting_system.
- Newmans_lemma wikiPageWikiLink Binary_relation.
- Newmans_lemma wikiPageWikiLink Category:Lemmas.
- Newmans_lemma wikiPageWikiLink Category:Rewriting_systems.
- Newmans_lemma wikiPageWikiLink Category:Wellfoundedness.
- Newmans_lemma wikiPageWikiLink Combinatorics.
- Newmans_lemma wikiPageWikiLink Confluence_(abstract_rewriting).
- Newmans_lemma wikiPageWikiLink Connected_component_(graph_theory).
- Newmans_lemma wikiPageWikiLink Graph_(discrete_mathematics).
- Newmans_lemma wikiPageWikiLink Gérard_Huet.
- Newmans_lemma wikiPageWikiLink If_and_only_if.
- Newmans_lemma wikiPageWikiLink Lemma_(mathematics).
- Newmans_lemma wikiPageWikiLink Mathematics.
- Newmans_lemma wikiPageWikiLink Max_Newman.
- Newmans_lemma wikiPageWikiLink Maximal_element.
- Newmans_lemma wikiPageWikiLink Reflexive_closure.
- Newmans_lemma wikiPageWikiLink Rewriting.
- Newmans_lemma wikiPageWikiLink Transitive_closure.
- Newmans_lemma wikiPageWikiLink Well-founded_relation.
- Newmans_lemma wikiPageWikiLinkText "Newman's lemma".
- Newmans_lemma wikiPageWikiLinkText "terminating".
- Newmans_lemma title "Diamond lemma".
- Newmans_lemma urlname "diamondlemma".
- Newmans_lemma wikiPageUsesTemplate Template:Cite_book.
- Newmans_lemma wikiPageUsesTemplate Template:Math.
- Newmans_lemma wikiPageUsesTemplate Template:Overset.
- Newmans_lemma wikiPageUsesTemplate Template:Planetmath.
- Newmans_lemma wikiPageUsesTemplate Template:Reflist.
- Newmans_lemma subject Category:Lemmas.
- Newmans_lemma subject Category:Rewriting_systems.
- Newmans_lemma subject Category:Wellfoundedness.
- Newmans_lemma hypernym Confluent.
- Newmans_lemma type River.
- Newmans_lemma type Field.
- Newmans_lemma type Lemma.
- Newmans_lemma type Redirect.
- Newmans_lemma type Theorem.
- Newmans_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.".
- Newmans_lemma label "Newman's lemma".
- Newmans_lemma sameAs Q1208706.
- Newmans_lemma sameAs Diamond_Lemma.
- Newmans_lemma sameAs Lema_de_Newman.
- Newmans_lemma sameAs m.0flx50.
- Newmans_lemma sameAs Q1208706.
- Newmans_lemma wasDerivedFrom Newmans_lemma?oldid=702639399.
- Newmans_lemma isPrimaryTopicOf Newmans_lemma.