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.TYPES.2013.150
URN: urn:nbn:de:0030-drops-46302
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2014/4630/
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Despeyroux, Joëlle ; Chaudhuri, Kaustuv

A Hybrid Linear Logic for Constrained Transition Systems

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Abstract

Linear implication can represent state transitions, but real transition systems operate under temporal, stochastic or probabilistic constraints that are not directly representable in ordinary linear logic. We propose a general modal extension of intuitionistic linear logic where logical truth is indexed by constraints and hybrid connectives combine constraint reasoning with logical reasoning. The logic has a focused cut-free sequent calculus that can be used to internalize the rules of particular constrained transition systems; we illustrate this with an adequate encoding of the synchronous stochastic pi-calculus.

BibTeX - Entry

@InProceedings{despeyroux_et_al:LIPIcs:2014:4630,
  author =	{Jo{\"e}lle Despeyroux and Kaustuv Chaudhuri},
  title =	{{A Hybrid Linear Logic for Constrained Transition Systems}},
  booktitle =	{19th International Conference on Types for Proofs and Programs (TYPES 2013)},
  pages =	{150--168},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-72-9},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{26},
  editor =	{Ralph Matthes and Aleksy Schubert},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2014/4630},
  URN =		{urn:nbn:de:0030-drops-46302},
  doi =		{10.4230/LIPIcs.TYPES.2013.150},
  annote =	{Keywords: Linear logic, hybrid logic, stochastic pi-calculus, focusing, adequacy}
}

Keywords: Linear logic, hybrid logic, stochastic pi-calculus, focusing, adequacy
Collection: 19th International Conference on Types for Proofs and Programs (TYPES 2013)
Issue Date: 2014
Date of publication: 25.07.2014

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