License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license (CC BY-NC-ND 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.RTA.2011.377
URN: urn:nbn:de:0030-drops-31378
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2011/3137/
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Zankl, Harald ; Felgenhauer, Bertram ; Middeldorp, Aart

Labelings for Decreasing Diagrams

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Abstract

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

@InProceedings{zankl_et_al:LIPIcs:2011:3137,
  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 =		{http://drops.dagstuhl.de/opus/volltexte/2011/3137},
  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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