Abstract
We present a model checking algorithm for alternating-time temporal logic (ATL) with imperfect information and imperfect recall. This variant of ATL is arguably most appropriate when it comes to modeling and specification of multi-agent systems. The related variant of model checking is known to be theoretically hard (\(\Delta^{\rm P}_{2}\)- to pspace-complete, depending on the assumptions), but virtually no practical attempts at it have been proposed so far. Our algorithm searches through the set of possible uniform strategies, utilizing a simple reduction technique. In consequence, it not only verifies existence of a suitable strategy but also produces one (if it exists). We validate the algorithm experimentally on a simple scalable class of models, with promising results.
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Pilecki, J., Bednarczyk, M.A., Jamroga, W. (2014). Synthesis and Verification of Uniform Strategies for Multi-agent Systems. In: Bulling, N., van der Torre, L., Villata, S., Jamroga, W., Vasconcelos, W. (eds) Computational Logic in Multi-Agent Systems. CLIMA 2014. Lecture Notes in Computer Science(), vol 8624. Springer, Cham. https://doi.org/10.1007/978-3-319-09764-0_11
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DOI: https://doi.org/10.1007/978-3-319-09764-0_11
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