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DOI: 10.4230/LIPIcs.RTA.2011.31
URN: urn:nbn:de:0030-drops-31211
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Duran, Francisco ; Eker, Steven ; Escobar, Santiago ; Meseguer, Jose ; Talcott, Carolyn

Variants, Unification, Narrowing, and Symbolic Reachability in Maude 2.6

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This paper introduces some novel features of Maude 2.6 focusing on the variants of a term. Given an equational theory (Sigma,Ax cup E), the E,Ax-variants of a term t are understood as the set of all pairs consisting of a substitution sigma and the E,Ax-canonical form of t sigma. The equational theory (Ax cup E ) has the finite variant property if there is a finite set of most general variants. We have added support in Maude 2.6 for: (i) order-sorted unification modulo associativity, commutativity and identity, (ii) variant generation, (iii) order-sorted unification modulo finite variant theories, and (iv) narrowing-based symbolic reachability modulo finite variant theories. We also explain how these features have a number of interesting applications in areas such as unification theory, cryptographic protocol verification, business processes, and proofs of termination, confluence and coherence.

BibTeX - Entry

  author =	{Francisco Duran and Steven Eker and Santiago Escobar and Jose Meseguer and Carolyn Talcott},
  title =	{{Variants, Unification, Narrowing, and Symbolic Reachability in Maude 2.6}},
  booktitle =	{22nd International Conference on Rewriting Techniques and Applications (RTA'11)},
  pages =	{31--40},
  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-31211},
  doi =		{10.4230/LIPIcs.RTA.2011.31},
  annote =	{Keywords: Rewriting logic, narrowing, unification, variants}

Keywords: Rewriting logic, narrowing, unification, variants
Collection: 22nd International Conference on Rewriting Techniques and Applications (RTA'11)
Issue Date: 2011
Date of publication: 26.04.2011

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