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DOI: 10.4230/LIPIcs.FSTTCS.2016.26
URN: urn:nbn:de:0030-drops-68615
URL: http://drops.dagstuhl.de/opus/volltexte/2016/6861/
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Bozzelli, Laura ; Molinari, Alberto ; Montanari, Angelo ; Peron, Adriano ; Sala, Pietro

Interval vs. Point Temporal Logic Model Checking: an Expressiveness Comparison

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LIPIcs-FSTTCS-2016-26.pdf (0.6 MB)


Abstract

Model checking is a powerful method widely explored in formal verification to check the (state-transition) model of a system against desired properties of its behaviour. Classically, properties are expressed by formulas of a temporal logic, such as LTL, CTL, and CTL*. These logics are "point-wise" interpreted, as they describe how the system evolves state-by-state. On the contrary, Halpern and Shoham's interval temporal logic (HS) is "interval-wise" interpreted, thus allowing one to naturally express properties of computation stretches, spanning a sequence of states, or properties involving temporal aggregations, which are inherently "interval-based". In this paper, we study the expressiveness of HS in model checking, in comparison with that of the standard logics LTL, CTL, and CTL*. To this end, we consider HS endowed with three semantic variants: the state-based semantics, introduced by Montanari et al., which allows branching in the past and in the future, the linear-past semantics, allowing branching only in the future, and the linear semantics, disallowing branching. These variants are compared, as for their expressiveness, among themselves and to standard temporal logics, getting a complete picture. In particular, HS with linear (resp., linear-past) semantics is proved to be equivalent to LTL (resp., finitary CTL*).

BibTeX - Entry

@InProceedings{bozzelli_et_al:LIPIcs:2016:6861,
  author =	{Laura Bozzelli and Alberto Molinari and Angelo Montanari and Adriano Peron and Pietro Sala},
  title =	{{Interval vs. Point Temporal Logic Model Checking: an Expressiveness Comparison}},
  booktitle =	{36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)},
  pages =	{26:1--26:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-027-9},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{65},
  editor =	{Akash Lal and S. Akshay and Saket Saurabh and Sandeep Sen},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6861},
  URN =		{urn:nbn:de:0030-drops-68615},
  doi =		{10.4230/LIPIcs.FSTTCS.2016.26},
  annote =	{Keywords: Interval Temporal Logics, Expressiveness, Model Checking}
}

Keywords: Interval Temporal Logics, Expressiveness, Model Checking
Seminar: 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)
Issue Date: 2016
Date of publication: 08.12.2016


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