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A note on modal logic and possibility theory. (English) Zbl 1354.03025
Summary: There are two theories in which the concept of possibility plays an important role – modal logic and possibility theory. The roles are different, and so are the agendas of modal logic and possibility theory. To gain an insight into the differences, a very simple model of modal logic is constructed. The model has the structure of a finite-state system, referred to as the FS-model. The FS-model may be viewed as a simple interpretation of Kripke model – an interpretation which is easy to understand. The FS-model is in the spirit of graph models of modal logic. The FS-model readily lends itself to generalization. Concrete versions of the FS-model serve as examples.

MSC:
03B45 Modal logic (including the logic of norms)
68T37 Reasoning under uncertainty in the context of artificial intelligence
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