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A logic for reasoning about upper probabilities

Joseph Y. Halpern·Riccardo Pucella
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Abstract

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.

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Joseph Y. Halpern, Riccardo Pucella. 2003-07-30. A logic for reasoning about upper probabilities. https://arxiv.org/abs/cs/0307069

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