License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FSTTCS.2021.52
URN: urn:nbn:de:0030-drops-155634
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/15563/
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Virtema, Jonni ; Hofmann, Jana ; Finkbeiner, Bernd ; Kontinen, Juha ; Yang, Fan

Linear-Time Temporal Logic with Team Semantics: Expressivity and Complexity

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Abstract

We study the expressivity and complexity of model checking of linear temporal logic with team semantics (TeamLTL). TeamLTL, despite being a purely modal logic, is capable of defining hyperproperties, i.e., properties which relate multiple execution traces. TeamLTL has been introduced quite recently and only few results are known regarding its expressivity and its model checking problem. We relate the expressivity of TeamLTL to logics for hyperproperties obtained by extending LTL with trace and propositional quantifiers (HyperLTL and HyperQPTL). By doing so, we obtain a number of model checking results for TeamLTL and identify its undecidability frontier. In particular, we show decidability of model checking of the so-called left-flat fragment of any downward closed TeamLTL -extension. Moreover, we establish that the model checking problem of TeamLTL with Boolean disjunction and inclusion atoms is undecidable.

BibTeX - Entry

@InProceedings{virtema_et_al:LIPIcs.FSTTCS.2021.52,
  author =	{Virtema, Jonni and Hofmann, Jana and Finkbeiner, Bernd and Kontinen, Juha and Yang, Fan},
  title =	{{Linear-Time Temporal Logic with Team Semantics: Expressivity and Complexity}},
  booktitle =	{41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)},
  pages =	{52:1--52:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-215-0},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{213},
  editor =	{Boja\'{n}czy, Miko{\l}aj and Chekuri, Chandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/15563},
  URN =		{urn:nbn:de:0030-drops-155634},
  doi =		{10.4230/LIPIcs.FSTTCS.2021.52},
  annote =	{Keywords: Linear temporal logic, Hyperproperties, Model Checking, Expressivity}
}

Keywords: Linear temporal logic, Hyperproperties, Model Checking, Expressivity
Collection: 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)
Issue Date: 2021
Date of publication: 29.11.2021

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