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When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CSL.2017.14
URN: urn:nbn:de:0030-drops-77016
URL: http://drops.dagstuhl.de/opus/volltexte/2017/7701/
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Boudou, Joseph ; Diéguez, Martín ; Fernández-Duque, David

A Decidable Intuitionistic Temporal Logic

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LIPIcs-CSL-2017-14.pdf (0.6 MB)


Abstract

We introduce the logic ITL^e, an intuitionistic temporal logic based on structures (W,R,S), where R is used to interpret intuitionistic implication and S is an R-monotone function used to interpret temporal modalities. Our main result is that the satisfiability and validity problems for ITL^e are decidable. We prove this by showing that the logic enjoys the strong finite model property. In contrast, we also consider a 'persistent' version of the logic, ITL^p, whose models are similar to Cartesian products. We prove that, unlike ITL^e, ITL^p does not have the finite model property.

BibTeX - Entry

@InProceedings{boudou_et_al:LIPIcs:2017:7701,
  author =	{Joseph Boudou and Mart{\'i}n Di{\'e}guez and David Fern{\'a}ndez-Duque},
  title =	{{A Decidable Intuitionistic Temporal Logic}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{14:1--14:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Valentin Goranko and Mads Dam},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7701},
  URN =		{urn:nbn:de:0030-drops-77016},
  doi =		{10.4230/LIPIcs.CSL.2017.14},
  annote =	{Keywords: intuitionistic logic, temporal logic, products of modal logics}
}

Keywords: intuitionistic logic, temporal logic, products of modal logics
Seminar: 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)
Issue Date: 2017
Date of publication: 14.08.2017


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