License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
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DOI: 10.4230/LIPIcs.ICALP.2016.98
URN: urn:nbn:de:0030-drops-62334
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6233/
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Chatterjee, Krishnendu ; Doyen, Laurent

Computation Tree Logic for Synchronization Properties

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LIPIcs-ICALP-2016-98.pdf (0.5 MB)

Abstract

We present a logic that extends CTL (Computation Tree Logic) with operators that express synchronization properties. A property is synchronized in a system if it holds in all paths of a certain length. The new logic is obtained by using the same path quantifiers and temporal operators as in CTL, but allowing a different order of the quantifiers. This small syntactic variation induces a logic that can express non-regular properties for which known extensions of MSO with equality of path length are undecidable. We show that our variant of CTL is decidable and that the model-checking problem is in Delta_3^P = P^{NP^{NP}}, and is hard for the class of problems solvable in polynomial time using a parallel access to an NP oracle. We analogously consider quantifier exchange in extensions of CTL, and we present operators defined using basic operators of CTL* that express the occurrence of infinitely many synchronization points. We show that the model-checking problem remains in Delta_3^P. The distinguishing power of CTL and of our new logic coincide if the Next operator is allowed in the logics, thus the classical bisimulation quotient can be used for state-space reduction before model checking.

BibTeX - Entry

@InProceedings{chatterjee_et_al:LIPIcs:2016:6233,
  author =	{Krishnendu Chatterjee and Laurent Doyen},
  title =	{{Computation Tree Logic for Synchronization Properties}},
  booktitle =	{43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)},
  pages =	{98:1--98:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-013-2},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{55},
  editor =	{Ioannis Chatzigiannakis and Michael Mitzenmacher and Yuval Rabani and Davide Sangiorgi},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6233},
  URN =		{urn:nbn:de:0030-drops-62334},
  doi =		{10.4230/LIPIcs.ICALP.2016.98},
  annote =	{Keywords: Computation Tree Logic, Synchronization, model-checking, complexity}
}

Keywords: Computation Tree Logic, Synchronization, model-checking, complexity
Collection: 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)
Issue Date: 2016
Date of publication: 23.08.2016

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