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Article Dans Une Revue Journal of Logic and Computation Année : 2022

A Computationally Grounded Logic of Awareness

Résumé

We introduce a multi-agent logic of explicit, implicit belief and awareness with a semantics using belief bases. The novelty of our approach is that an agent's awareness is not a primitive but is directly computed from the agent's belief base. We prove soundness and completeness of the logic relative to the belief base semantics. Furthermore, we provide a polynomial embedding of the logic of propositional awareness into it, and a polynomial embedding of our logic into the logic of general awareness. Thanks to the latter embedding, we show that the satisfiability checking problem for our logic is PSPACE-complete. Finally, we extend it by the notions of public announcement and private belief expansion.
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Dates et versions

hal-03873197 , version 1 (26-11-2022)

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Emiliano Lorini, Pengfei Song. A Computationally Grounded Logic of Awareness. Journal of Logic and Computation, 2022, 33 (6), pp.1463-1496. ⟨10.1093/logcom/exac035⟩. ⟨hal-03873197⟩
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