A logic for reasoning about upper probabilities

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We present a propositional logic %which can be used 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.
A preliminary version of this paper appeared in Proc. of the 17th Conference on Uncertainty in AI, 2001

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