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A model of reasoning about knowledge

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Abstract

A modal logical language and its Kripke semantics and Aumann semantics are introduced. A complete formal deduction system is established to describe reasoning about knowledge in multi-agent systems involving different languages, and an institution of logics for multi-agent systems is constructed.

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Project supported by the National Natural Science Foundation of China (Grant Nos. 19671038, 69733020), Foundation for Excellent Young Scientists (No. 69725004), Fok Ying Tung Education Foundation, the National “863” High-Tech Programs of China (No. 863-306-02-05-2, 863-306-05-05-3B) and Institute of Mathematics, the Chinese Academy of Sciences.

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Lu, R., Ying, M. A model of reasoning about knowledge. Sci. China Ser. E-Technol. Sci. 41, 527–534 (1998). https://doi.org/10.1007/BF02917028

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  • DOI: https://doi.org/10.1007/BF02917028

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