Logic of confidence.

The article studies knowledge in multiagent systems where data available to the agents may have small errors. To reason about such uncertain knowledge, a formal semantics is introduced in which indistinguishability relations, commonly used in the semantics for epistemic logic S5, are replaced with m...

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Detalles Bibliográficos
Publicado en:Synthese Vol. 192; no. 6; pp. 1821 - 1839
Autores principales: Naumov, Pavel, Tao, Jia
Formato: Artículo
Publicado: Springer Nature Jun2015
Materias:
Acceso en línea:Ver este registro en EBSCOhost
Descripción
Sumario:The article studies knowledge in multiagent systems where data available to the agents may have small errors. To reason about such uncertain knowledge, a formal semantics is introduced in which indistinguishability relations, commonly used in the semantics for epistemic logic S5, are replaced with metrics to capture how much two epistemic worlds are different from an agent's point of view. The main result is a logical system sound and complete with respect to the proposed semantics.