Epistemology of Information Flow in the Multilevel Security of Probabilistic Systems.

Abstract
We set out a modal logic for reasoning about multilevel security of probabilistic systems. This logic includes modalities for time, probability, knowledge, and permitted knowledge. Making use of the Halpern-Tuttle framework for reasoning about knowledge and probability, we give a semantics for our logic and prove that it is sound. We give two syntactic definitions of perfect multilevel security and show that their semantic interpretations are equivalent to two earlier, independently motivated characterizations. We also discuss the relation between these characterizations of security and between their usefulness in security analysis.

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