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Model Checking for Coalition Announcement Logic

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KI 2018: Advances in Artificial Intelligence (KI 2018)

Abstract

Coalition Announcement Logic (CAL) studies how a group of agents can enforce a certain outcome by making a joint announcement, regardless of any announcements made simultaneously by the opponents. The logic is useful to model imperfect information games with simultaneous moves. We propose a model checking algorithm for CAL and show that the model checking problem for CAL is PSPACE-complete. We also consider a special positive case for which the model checking problem is in P. We compare these results to those for other logics with quantification over information change.

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Notes

  1. 1.

    For comparison, semantics for group announcement operator of the logic GAL mentioned in the introduction is iff and iff .

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Acknowledgements

We thank anonymous IJCAI 2018 and KI 2018 referees for constructive comments, and IJCAI 2018 referees for finding an error in the earlier version of this paper.

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Correspondence to Rustam Galimullin .

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Galimullin, R., Alechina, N., van Ditmarsch, H. (2018). Model Checking for Coalition Announcement Logic. In: Trollmann, F., Turhan, AY. (eds) KI 2018: Advances in Artificial Intelligence. KI 2018. Lecture Notes in Computer Science(), vol 11117. Springer, Cham. https://doi.org/10.1007/978-3-030-00111-7_2

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  • DOI: https://doi.org/10.1007/978-3-030-00111-7_2

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