Modal Probability, Belief, and Actions

Issue title: The 1st International Workshop on Knowledge Representation and Approximate Reasoning (KR&AR)

Article type: Research Article

Authors: Herzig, Andreas

Affiliations: IRIT, 118 route de Narbonne, F-31062 Toulouse Cedex 04, France

Abstract: 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.

Keywords: modal probability, belief, action, epistemic logic, dynamic logic, successor state axioms, regression

Journal: Fundamenta Informaticae, vol. 57, no. 2-4, pp. 323-344, 2003