Geodesic
Common Knowledge in Well-structured Perfect Recall Systems
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 6, pp. 10-21

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We investigate a model checking problem for the logic of common knowledge and fixpoints $\mu$PLC$_n$ in well-structured multiagent systems with perfect recall. In this paper we show that a perfect recall synchronous environment over a well-structured environment forms a well-structured environment provided with a special PRS-order. This implies that the model checking problem for the disjunctive fragment of $\mu$PLC$_n$ is decidable.
Keywords: logic of common knowledge, perfect recall, well-structured systems, model checking. 
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     author = {N. O. Garanina},
     title = {Common {Knowledge} in {Well-structured} {Perfect} {Recall} {Systems}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {10--21},
     publisher = {mathdoc},
     volume = {20},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2013_20_6_a0/}
}
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N. O. Garanina. Common Knowledge in Well-structured Perfect Recall Systems. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 6, pp. 10-21. http://geodesic.mathdoc.fr/item/MAIS_2013_20_6_a0/