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Modal Probability, Belief, and Actions

Herzig A.

Fundamenta Informaticae

2003

Vol. 57, nr 2-4

323--344

We investigate a modal logic of probability with a unary modal operator expressing that a proposition is more probable than its negation. Such an operator is not closed under conjunction, and its modal logic is therefore non-normal. Within this framework we study the relation of probability with other modal concepts: belief and action. We focus on the evolution of belief, and propose an integration of revision. For that framework we give a regression algorithm.