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.TIME.2019.15
URN: urn:nbn:de:0030-drops-113731
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/11373/
Peyras, Quentin ;
Brunel, Julien ;
Chemouil, David
A Bounded Domain Property for an Expressive Fragment of First-Order Linear Temporal Logic
Abstract
First-Order Linear Temporal Logic (FOLTL) is well-suited to specify infinite-state systems. However, FOLTL satisfiability is not even semi-decidable, thus preventing automated verification. To address this, a possible track is to constrain specifications to a decidable fragment of FOLTL, but known fragments are too restricted to be usable in practice. In this paper, we exhibit various fragments of increasing scope that provide a pertinent basis for abstract specification of infinite-state systems. We show that these fragments enjoy the Bounded Domain Property (any satisfiable FOLTL formula has a model with a finite, bounded FO domain), which provides a basis for complete, automated verification by reduction to LTL satisfiability. Finally, we present a simple case study illustrating the applicability and limitations of our results.
BibTeX - Entry
@InProceedings{peyras_et_al:LIPIcs:2019:11373,
author = {Quentin Peyras and Julien Brunel and David Chemouil},
title = {{A Bounded Domain Property for an Expressive Fragment of First-Order Linear Temporal Logic}},
booktitle = {26th International Symposium on Temporal Representation and Reasoning (TIME 2019)},
pages = {15:1--15:16},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-127-6},
ISSN = {1868-8969},
year = {2019},
volume = {147},
editor = {Johann Gamper and Sophie Pinchinat and Guido Sciavicco},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2019/11373},
URN = {urn:nbn:de:0030-drops-113731},
doi = {10.4230/LIPIcs.TIME.2019.15},
annote = {Keywords: First-Order Linear Temporal Logic, Bounded Domain Property, Finite Domain Property, Decidability}
}
Keywords: |
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First-Order Linear Temporal Logic, Bounded Domain Property, Finite Domain Property, Decidability |
Collection: |
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26th International Symposium on Temporal Representation and Reasoning (TIME 2019) |
Issue Date: |
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2019 |
Date of publication: |
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07.10.2019 |