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 hyper- properties, 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.
History
Preferred Citation
Jonni Virtema, Jana Hofmann, Bernd Finkbeiner, Juha Kontinen and Fan Yang. Linear-Time Temporal Logic with Team Semantics: Expressivity and Complexity. In: Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS). 2021.
Primary Research Area
Reliable Security Guarantees
Name of Conference
Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS)
Legacy Posted Date
2022-05-06
Open Access Type
Hybrid
BibTeX
@inproceedings{cispa_all_3665,
title = "Linear-Time Temporal Logic with Team Semantics: Expressivity and Complexity",
author = "Virtema, Jonni and Hofmann, Jana and Finkbeiner, Bernd and Kontinen, Juha and Yang, Fan",
booktitle="{Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS)}",
year="2021",
}