J. Y. Halpern and R. Pucella (2006) "A Logic for Reasoning about Evidence", Volume 26, pages 1-34

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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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