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.

翻译：我们引入概率双主体正当逻辑IPJ，这是一种能够对执行交互式证明的主体进行推理的逻辑。为研究IPJ中概率的增长率，我们提出了一种基于特定可忽略函数对IPJ进行参数化的新方法。此外，我们的方法引出了零知识证明的一个新概念。