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DOI: 10.4230/LIPIcs.TIME.2019.15
A Bounded Domain Property for an Expressive Fragment of First-Order Linear Temporal Logic

Authors: Quentin Peyras, Julien Brunel, and David Chemouil

Published in: LIPIcs, Volume 147, 26th International Symposium on Temporal Representation and Reasoning (TIME 2019)

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.
Cite as

Quentin Peyras, Julien Brunel, and David Chemouil. A Bounded Domain Property for an Expressive Fragment of First-Order Linear Temporal Logic. In 26th International Symposium on Temporal Representation and Reasoning (TIME 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 147, pp. 15:1-15:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)

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@InProceedings{peyras_et_al:LIPIcs.TIME.2019.15,
  author =	{Peyras, Quentin and Brunel, Julien and Chemouil, David},
  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 =	{Gamper, Johann and Pinchinat, Sophie and Sciavicco, Guido},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2019.15},
  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}
}
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