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.2013.113
URN: urn:nbn:de:0030-drops-40579
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2013/4057/
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Baumgartner, Alexander ; Kutsia, Temur ; Levy, Jordi ; Villaret, Mateu

A Variant of Higher-Order Anti-Unification

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Abstract

We present a rule-based Huet's style anti-unification algorithm for simply-typed lambda-terms in eta-long beta-normal form, which computes a least general higher-order pattern generalization. For a pair of arbitrary terms of the same type, such a generalization always exists and is unique modulo alpha-equivalence and variable renaming. The algorithm computes it in cubic time within linear space. It has been implemented and the code is freely available.

BibTeX - Entry

@InProceedings{baumgartner_et_al:LIPIcs:2013:4057,
  author =	{Alexander Baumgartner and Temur Kutsia and Jordi Levy and Mateu Villaret},
  title =	{{A Variant of Higher-Order Anti-Unification}},
  booktitle =	{24th International Conference on Rewriting Techniques and Applications (RTA 2013)},
  pages =	{113--127},
  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/2013/4057},
  URN =		{urn:nbn:de:0030-drops-40579},
  doi =		{10.4230/LIPIcs.RTA.2013.113},
  annote =	{Keywords: higher-order anti-unification, higher-order patterns}
}

Keywords: higher-order anti-unification, higher-order patterns
Collection: 24th International Conference on Rewriting Techniques and Applications (RTA 2013)
Issue Date: 2013
Date of publication: 24.06.2013

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