Kontinen, J. orcid.org/0000-0003-0115-5154, Sandström, M. orcid.org/0000-0002-6365-2562 and Virtema, J. orcid.org/0000-0002-1582-3718 (2024) A remark on the expressivity of asynchronous TeamLTL and HyperLTL. In: Meier, A. and Ortiz, M., (eds.) Foundations of Information and Knowledge Systems: 13th International Symposium, FoIKS 2024, Sheffield, UK, April 8–11, 2024, Proceedings. 13th International Symposium on Foundations of Information and Knowledge Systems (FoIKS 2024), 08-11 Apr 2024, Sheffield, UK. Lecture Notes in Computer Science, LNCS 14589 . Springer Nature Switzerland , pp. 275-286. ISBN 9783031569395
Abstract
Linear temporal logic (LTL) is used in system verification to write formal specifications for reactive systems. However, some relevant properties, e.g. non-inference in information flow security, cannot be expressed in LTL. A class of such properties that has recently received ample attention is known as hyperproperties. There are two major streams in the research regarding capturing hyperproperties, namely hyperlogics, which extend LTL with trace quantifiers (HyperLTL), and logics that employ team semantics, extending truth to sets of traces. In this article we explore the relation between asynchronous LTL under set-based team semantics (TeamLTL) and HyperLTL. In particular we consider the extensions of TeamLTL with the Boolean disjunction and a fragment of the extension of TeamLTL with the Boolean negation, where the negation cannot occur in the left-hand side of the Until-operator or within the Global-operator. We show that TeamLTL extended with the Boolean disjunction is equi-expressive with the positive Boolean closure of HyperLTL restricted to one universal quantifier, while the left-downward closed fragment of TeamLTL extended with the Boolean negation is expressively equivalent with the Boolean closure of HyperLTL restricted to one universal quantifier.
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: | © 2024 The Author(s). Except as otherwise noted, this author-accepted version of a paper published in Foundations of Information and Knowledge Systems: 13th International Symposium, FoIKS 2024, Sheffield, UK, April 8–11, 2024, Proceedings is made available via the University of Sheffield Research Publications and Copyright Policy under the terms of the Creative Commons Attribution 4.0 International License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ |
Keywords: | Hyperproperties; Temporal Logic; Team Semantics; HyperLTL; Verification |
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) |
Funding Information: | Funder Grant number DEUTSCHE FORSCHUNGSGEMEINSCHAFT 432788559 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 04 Apr 2024 14:14 |
Last Modified: | 04 Apr 2024 18:34 |
Status: | Published |
Publisher: | Springer Nature Switzerland |
Series Name: | Lecture Notes in Computer Science |
Refereed: | Yes |
Identification Number: | 10.1007/978-3-031-56940-1_15 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:211185 |