A Logic for Reasoning about Upper Probabilities

08/07/2014

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by   Joseph Y. Halpern, et al.

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We present a propositional logic to reason about the uncertainty of events, where the uncertainty is modeled by a set of probability measures assigning an interval of probability to each event. We give a sound and complete axiomatization for the logic, and show that the satisfiability problem is NP-complete, no harder than satisfiability for propositional logic.