A logic for reasoning about upper probabilities

Details A logic for reasoning about upper probabilities A logic for reasoning about upper probabilities

2003-07-30

arxiv.org/abs/cs/0307069v1

Journal of AI Research 17, 2001, pp. 57-81

Computer Science

Artificial Intelligence

A preliminary version of this paper appeared in Proc. of the 17th Conference on Uncertainty in AI, 2001

Scientific paper

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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