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arXiv 2007.11832cs.LO
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二进制会话的概率分析

Probabilistic Analysis of Binary Sessions

Omar Inverso, Hernán Melgratti, Luca Padovani, Catia Trubiani, Emilio Tuosto

摘要:

我们研究了一个概率变量的二进制会话类型,涉及到一类随机状态马尔可夫链。会话类型中的概率注释使得能够对会话成功终止的概率进行推理,对于某些用户可定义的成功终止概念。我们开发了一个简单的会话演算具有概率选择的类型系统,并表明良好类型的进程的成功概率与他们使用的会话。为此,类型系统需要跟踪概率选择在不同会话中的传播。

英文摘要:

We study a probabilistic variant of binary session types that relate to a class of Finite-State Markov Chains. The probability annotations in session types enable the reasoning on the probability that a session terminates successfully, for some user-definable notion of successful termination. We develop a type system for a simple session calculus featuring probabilistic choices and show that the success probability of well-typed processes agrees with that of the sessions they use. To this aim, the type system needs to track the propagation of probabilistic choices across different sessions.

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