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.CSL.2017.14
URN: urn:nbn:de:0030-drops-77016
URL: https://drops.dagstuhl.de/opus/volltexte/2017/7701/
Boudou, Joseph ;
Diéguez, Martín ;
Fernández-Duque, David
A Decidable Intuitionistic Temporal Logic
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}
}
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Keywords: |
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intuitionistic logic, temporal logic, products of modal logics |
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Collection: |
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26th EACSL Annual Conference on Computer Science Logic (CSL 2017) |
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Issue Date: |
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2017 |
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Date of publication: |
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16.08.2017 |
