Virtema, J., Hofmann, J., Finkbeiner, B. et al. (2 more authors) (2021) Linear-time temporal logic with team semantics: expressivity and complexity. In: Bojańczyk, M. and Chekuri, C., (eds.) 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021). IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021), 15-17 Dec 2021, Virtual Conference. Leibniz International Proceedings in Informatics (LIPIcs), 213 . Schloss Dagstuhl , 52:1-52:17. ISBN 9783959772150
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.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2021 Jonni Virtema, Jana Hofmann, Bernd Finkbeiner, Juha Kontinen and Fan Yang. licensed under Creative Commons License CC-BY 4.0. (https://creativecommons.org/licenses/by/4.0/) |
Keywords: | Linear temporal logic; Hyperproperties; Model Checking; Expressivity |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Computer Science (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 18 Oct 2021 15:23 |
Last Modified: | 14 Dec 2021 17:08 |
Status: | Published |
Publisher: | Schloss Dagstuhl |
Series Name: | Leibniz International Proceedings in Informatics (LIPIcs) |
Refereed: | Yes |
Identification Number: | 10.4230/LIPIcs.FSTTCS.2021.52 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:179352 |