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.2013.255
URN: urn:nbn:de:0030-drops-40667
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2013/4066/
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Schmidt-Schauß, Manfred ; Rau, Conrad ; Sabel, David

Algorithms for Extended Alpha-Equivalence and Complexity

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Abstract

Equality of expressions in lambda-calculi, higher-order programming languages, higher-order programming calculi and process calculi is defined as alpha-equivalence. Permutability of bindings in let-constructs and structural congruence axioms extend alpha-equivalence. We analyse these extended alpha-equivalences and show that there are calculi with polynomial time algorithms, that a multiple-binding "let" may make alpha-equivalence as hard as finding graph-isomorphisms, and that the replication operator in the pi-calculus may lead to an EXPSPACE-hard alpha-equivalence problem.

BibTeX - Entry

@InProceedings{schmidtschau_et_al:LIPIcs:2013:4066,
  author =	{Manfred Schmidt-Schau{\ss} and Conrad Rau and David Sabel},
  title =	{{Algorithms for Extended Alpha-Equivalence and Complexity}},
  booktitle =	{24th International Conference on Rewriting Techniques and Applications (RTA 2013)},
  pages =	{255--270},
  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/2013/4066},
  URN =		{urn:nbn:de:0030-drops-40667},
  doi =		{10.4230/LIPIcs.RTA.2013.255},
  annote =	{Keywords: alpha-equivalence, higher-order calculi, deduction, pi-calculus}
}

Keywords: alpha-equivalence, higher-order calculi, deduction, pi-calculus
Collection: 24th International Conference on Rewriting Techniques and Applications (RTA 2013)
Issue Date: 2013
Date of publication: 24.06.2013

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