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DOI: 10.4230/LIPIcs.RTA.2013.255

Algorithms for Extended Alpha-Equivalence and Complexity

Authors: Manfred Schmidt-Schauß, Conrad Rau, and David Sabel

Published in: LIPIcs, Volume 21, 24th International Conference on Rewriting Techniques and Applications (RTA 2013)

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.

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Manfred Schmidt-Schauß, Conrad Rau, and David Sabel. Algorithms for Extended Alpha-Equivalence and Complexity. In 24th International Conference on Rewriting Techniques and Applications (RTA 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 21, pp. 255-270, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@InProceedings{schmidtschau_et_al:LIPIcs.RTA.2013.255,
  author =	{Schmidt-Schau{\ss}, Manfred and Rau, Conrad and Sabel, David},
  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 =	{van Raamsdonk, Femke},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.RTA.2013.255},
  URN =		{urn:nbn:de:0030-drops-40667},
  doi =		{10.4230/LIPIcs.RTA.2013.255},
  annote =	{Keywords: alpha-equivalence, higher-order calculi, deduction, pi-calculus}
}

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Algorithms for Extended Alpha-Equivalence and Complexity

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