A logic of interactive proofs

09/02/2021

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by   David Lehnherr, et al.

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We introduce the probabilistic two-agent justification logic IPJ, a logic in which we can reason about agents that perform interactive proofs. In order to study the growth rate of the probabilities in IPJ, we present a new method of parametrising IPJ over certain negligible functions. Further, our approach leads to a new notion of zero-knowledge proofs.