License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license (CC BY-NC-ND 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CSL.2011.97
URN: urn:nbn:de:0030-drops-32250
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2011/3225/
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Bucciarelli, Antonio ; Carraro, Alberto ; Ehrhard, Thomas ; Manzonetto, Giulio

Full Abstraction for Resource Calculus with Tests

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Abstract

We study the semantics of a resource sensitive extension of the lambda-calculus in a canonical reflexive object of a category of sets and relations, a relational version of the original Scott D infinity model of the pure lambda-calculus. This calculus is related to Boudol's resource calculus and is derived from Ehrhard and Regnier's differential extension of Linear Logic and of the lambda-calculus. We extend it with new constructions, to be understood as implementing a very simple exception mechanism, and with a ``must'' parallel composition. These new operations allow to associate a context of this calculus with any point of the model and to prove full abstraction for the finite sub-calculus where ordinary lambda-calculus application is not allowed. The result is then extended to the full calculus by means of a Taylor Expansion formula.

BibTeX - Entry

@InProceedings{bucciarelli_et_al:LIPIcs:2011:3225,
  author =	{Antonio Bucciarelli and Alberto Carraro and Thomas Ehrhard and Giulio Manzonetto},
  title =	{{Full Abstraction for Resource Calculus with Tests}},
  booktitle =	{Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL},
  pages =	{97--111},
  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/2011/3225},
  URN =		{urn:nbn:de:0030-drops-32250},
  doi =		{10.4230/LIPIcs.CSL.2011.97},
  annote =	{Keywords: resource lambda calculus, relational semantics, full abstraction, differential linear logic}
}

Keywords: resource lambda calculus, relational semantics, full abstraction, differential linear logic
Collection: Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL
Issue Date: 2011
Date of publication: 31.08.2011

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