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Set Semantics for Asynchronous TeamLTL: Expressivity and Complexity

Authors Juha Kontinen , Max Sandström , Jonni Virtema

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Author Details

Juha Kontinen
  • University of Helsinki, Finland
Max Sandström
  • University of Sheffield, UK
  • University of Helsinki, Finland
Jonni Virtema
  • University of Sheffield, UK
  • University of Helsinki, Finland

Funding

  • Kontinen, Juha: Supported by the Academy of Finland grant 345634.
  • Sandström, Max: Supported by the Academy of Finland grant 322795.
  • Virtema, Jonni: Supported by the Academy of Finland grant 345634 and the DFG grant VI 1045/1-1.

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Juha Kontinen, Max Sandström, and Jonni Virtema. Set Semantics for Asynchronous TeamLTL: Expressivity and Complexity. In 48th International Symposium on Mathematical Foundations of Computer Science (MFCS 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 272, pp. 60:1-60:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
https://doi.org/10.4230/LIPIcs.MFCS.2023.60

Abstract

We introduce and develop a set-based semantics for asynchronous TeamLTL. We consider two canonical logics in this setting: the extensions of TeamLTL by the Boolean disjunction and by the Boolean negation. We relate the new semantics with the original semantics based on multisets and establish one of the first positive complexity theoretic results in the temporal team semantics setting. In particular we show that both logics enjoy normal forms that can be utilised to obtain results related to expressivity and complexity (decidability) of the new logics.

Subject Classification

ACM Subject Classification
  • Theory of computation → Logic and verification
Keywords
  • Hyperproperties
  • Linear Temporal Logic
  • Team Semantics

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References

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