A Logic for Reasoning about Evidence

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Abstract

We introduce a logic for reasoning about evidence that essentially

views evidence as a function from prior beliefs (before making an

observation) to posterior beliefs (after making the observation).

We provide a sound and complete axiomatization for the logic, and

consider the complexity of the decision problem. Although the reasoning in the logic is mainly propositional, we allow variables representing numbers and quantification over them. This expressive power seems necessary to capture important properties of evidence.

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