A geometric proof of con uence by decreasing diagrams

نویسندگان

  • Jan Willem Klop
  • Vincent van Oostrom
  • Roel de Vrijer
چکیده

The criterion for con uence using decreasing diagrams is a generalization of several well-known con uence criteria in abstract rewriting, such as the strong con uence lemma. We give a new proof of the decreasing diagram theorem based on a geometric study of in nite reduction diagrams, arising from unsuccessful attempts to obtain a con uent diagram by tiling with elementary diagrams. 2000 Mathematics Subject Classi cation: 68Q42, 52C2

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A geometric proof of confluence by decreasing diagrams

The criterion for con uence using decreasing diagrams is a generalization of several well-known con uence criteria in abstract rewriting, such as the strong con uence lemma. We give a new proof of the decreasing diagram theorem based on a geometric study of in nite reduction diagrams, arising from unsuccessful attempts to obtain a con uent diagram by tiling with elementary diagrams. 2000 Mathem...

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تاریخ انتشار 2000