DROPS

Document

DOI: 10.4230/LIPIcs.TIME.2019.12

Towards Certified Model Checking for PLTL Using One-Pass Tableaux

Authors: Alex Abuin, Alexander Bolotov, Unai Díaz de Cerio, Montserrat Hermo, and Paqui Lucio

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

Abstract

The standard model checking setup analyses whether the given system specification satisfies a dedicated temporal property of the system, providing a positive answer here or a counter-example. At the same time, it is often useful to have an explicit proof that certifies the satisfiability. This is exactly what the certified model checking (CMC) has been introduced for. The paper argues that one-pass (context-based) tableau for PLTL can be efficiently used in the CMC setting, emphasising the following two advantages of this technique. First, the use of the context in which the eventualities occur, forces them to fulfil as soon as possible. Second, a dual to the tableau sequent calculus can be used to formalise the certificates. The combination of the one-pass tableau and the dual sequent calculus enables us to provide not only counter-examples for unsatisfied properties, but also proofs for satisfied properties that can be checked in a proof assistant. In addition, the construction of the tableau is enriched by an embedded solver, to which we dedicate those (propositional) computational tasks that are costly for the tableaux rules applied solely. The combination of the above techniques is particularly helpful to reason about large (system) specifications.

Cite as

Alex Abuin, Alexander Bolotov, Unai Díaz de Cerio, Montserrat Hermo, and Paqui Lucio. Towards Certified Model Checking for PLTL Using One-Pass Tableaux. In 26th International Symposium on Temporal Representation and Reasoning (TIME 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 147, pp. 12:1-12:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)

Copy BibTex To Clipboard

@InProceedings{abuin_et_al:LIPIcs.TIME.2019.12,
  author =	{Abuin, Alex and Bolotov, Alexander and D{\'\i}az de Cerio, Unai and Hermo, Montserrat and Lucio, Paqui},
  title =	{{Towards Certified Model Checking for PLTL Using One-Pass Tableaux}},
  booktitle =	{26th International Symposium on Temporal Representation and Reasoning (TIME 2019)},
  pages =	{12:1--12:18},
  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.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2019.12},
  URN =		{urn:nbn:de:0030-drops-113702},
  doi =		{10.4230/LIPIcs.TIME.2019.12},
  annote =	{Keywords: Temporal logic, fairness, expressiveness, linear-time, Certified model checking}
}

Search Results

Documents authored by Díaz de Cerio, Unai

Towards Certified Model Checking for PLTL Using One-Pass Tableaux

Abstract

Cite as

Thanks for your feedback!

Could not send message