Abstract
This chapter is about model checking and its complexity in some of the main temporal and strategic logics, e.g. LTL, CTL, and ATL. We discuss several variants of ATL (perfect vs. imperfect recall, perfect vs. imperfect information) as well as two different measures for model checking with concurrent game structures (explicit vs. implicit representation of transitions). Finally, we summarize some results about higher order representations of the underlying models.
* This work was partly funded by the NTH School for IT Ecosystems. NTH (Niedersächsische Technische Hochschule) is a joint university consisting of Technische Universität Braunschweig, Technische Universität Clausthal, and Leibniz Universität Hannover.
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Bulling, N., Dix, J., Jamroga, W. (2010). Model Checking Logics of Strategic Ability: Complexity*. In: Dastani, M., Hindriks, K., Meyer, JJ. (eds) Specification and Verification of Multi-agent Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-6984-2_5
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