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Step-Indexed Relational Reasoning for Countable Nondeterminism

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Abstract

Programming languages with countable nondeterministic choice are computationally interesting since countable nondeterminism arises when modeling fairness for concurrent systems. Because countable choice introduces non-continuous behaviour, it is well-known that developing semantic models for programming languages with countable nondeterminism is challenging. We present a step-indexed logical relations model of a higher-order functional programming language with countable nondeterminism and demonstrate how it can be used to reason about contextually defined may- and must-equivalence. In earlier step-indexed models, the indices have been drawn from omega. Here the step-indexed relations for must-equivalence are indexed over an ordinal greater than omega.

BibTeX - Entry

@InProceedings{schwinghammer_et_al:LIPIcs:2011:3253,
  author =	{Jan Schwinghammer and Lars Birkedal},
  title =	{{Step-Indexed Relational Reasoning for Countable Nondeterminism}},
  booktitle =	{Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL},
  pages =	{512--524},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-32-3},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{12},
  editor =	{Marc Bezem},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2011/3253},
  URN =		{urn:nbn:de:0030-drops-32535},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.CSL.2011.512},
  annote =	{Keywords: countable choice, lambda calculus, program equivalence}
}

Keywords: countable choice, lambda calculus, program equivalence
Seminar: Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL
Issue date: 2011
Date of publication: 2011


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