License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.RTA.2013.319
URN: urn:nbn:de:0030-drops-40702
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2013/4070/
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Winkler, Sarah ; Middeldorp, Aart

Normalized Completion Revisited

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Abstract

Normalized completion (Marché 1996) is a widely applicable and efficient technique for com- pletion modulo theories. If successful, a normalized completion procedure computes a rewrite system that allows to decide the validity problem using normalized rewriting. In this paper we consider a slightly simplified inference system for finite normalized completion runs. We prove correctness, show faithfulness of critical pair criteria in our setting, and propose a different notion of normalizing pairs. We then show how normalized completion procedures can benefit from AC- termination tools instead of relying on a fixed AC-compatible reduction order. We outline our implementation of this approach in the completion tool mkbtt and present experimental results, including new completions.

BibTeX - Entry

@InProceedings{winkler_et_al:LIPIcs:2013:4070,
  author =	{Sarah Winkler and Aart Middeldorp},
  title =	{{Normalized Completion Revisited}},
  booktitle =	{24th International Conference on Rewriting Techniques and Applications (RTA 2013)},
  pages =	{319--334},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-53-8},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{21},
  editor =	{Femke van Raamsdonk},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2013/4070},
  URN =		{urn:nbn:de:0030-drops-40702},
  doi =		{10.4230/LIPIcs.RTA.2013.319},
  annote =	{Keywords: term rewriting, completion}
}

Keywords: term rewriting, completion
Collection: 24th International Conference on Rewriting Techniques and Applications (RTA 2013)
Issue Date: 2013
Date of publication: 24.06.2013

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