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DOI: 10.4230/LIPIcs.RTA.2011.377
URN: urn:nbn:de:0030-drops-31378
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Zankl, Harald ; Felgenhauer, Bertram ; Middeldorp, Aart

Labelings for Decreasing Diagrams

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This paper is concerned with automating the decreasing diagrams technique of van Oostrom for establishing confluence of term rewrite systems. We study abstract criteria that allow to lexicographically combine labelings to show local diagrams decreasing. This approach has two immediate benefits. First, it allows to use labelings for linear rewrite systems also for left-linear ones, provided some mild conditions are satisfied. Second, it admits an incremental method for proving confluence which subsumes recent developments in automating decreasing diagrams. The techniques proposed in the paper have been implemented and experimental results demonstrate how, e.g., the rule labeling benefits from our contributions.

BibTeX - Entry

  author =	{Harald Zankl and Bertram Felgenhauer and Aart Middeldorp},
  title =	{{Labelings for Decreasing Diagrams}},
  booktitle =	{22nd International Conference on Rewriting Techniques and Applications (RTA'11)},
  pages =	{377--392},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-30-9 },
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{10},
  editor =	{Manfred Schmidt-Schau{\ss}},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-31378},
  doi =		{10.4230/LIPIcs.RTA.2011.377},
  annote =	{Keywords: term rewriting, confluence, decreasing diagrams, labeling}

Keywords: term rewriting, confluence, decreasing diagrams, labeling
Collection: 22nd International Conference on Rewriting Techniques and Applications (RTA'11)
Issue Date: 2011
Date of publication: 26.04.2011

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