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Journal of Computer Security 20, 1 (2012) 3-50
Quantitative Information Flow in Interactive Systems
Mário S. Alvim 1, Miguel E. Andrés 1, Catuscia Palamidessi 1
(2012)

We consider the problem of defining the information leakage in interactive sys- tems where secrets and observables can alternate during the computation. We show that the information-theoretic approach which interprets such systems as (simple) noisy channels is no longer valid. However, the principle can be recovered if we consider channels of a more complicated kind, that in Information Theory are known as channels with memory and feedback. We show that there is a complete correspondence between interactive systems and such channels. Furthermore, we show that the capacity of the channels associated to such systems is a continuous function with respect to a pseudometric based on the Kantorovich metric.
1:  COMETE (INRIA Saclay - Ile de France)
INRIA – Polytechnique - X – CNRS : UMR7161
Computer Science/Logic in Computer Science
Probabilistic systems – Information flow and Anonymity – Information- theoretic channel – Kantorovich metric.
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