The logic of viewpoints

Studia Logica 42 (2-3):187 - 196 (1983)
In this paper a propositional logic of viewpoints is presented. The language of this logic consists of the usual modal operatorsL (of necessity) andM (of possibility) as well as of two new operatorsA andR. The intuitive interpretations ofA andR are from all viewpoints and from some viewpoint, respectively. Semantically the language is interpreted by using Kripke models augmented with sets of viewpoints and with a new alternativeness relation for the operatorA. Truth values of formulas are evaluated with respect to a world and a viewpoint. Various axiomatizations of the logic of viewpoints are presented and proved complete. Finally, some applications are given.
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References found in this work BETA
Krister Segerberg (1973). Two-Dimensional Modal Logic. Journal of Philosophical Logic 2 (1):77 - 96.
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