论文标题

重写逻辑语义和概率事件B的统计分析

A Rewriting Logic Semantics and Statistical Analysis for Probabilistic Event-B

论文作者

Olarte, Carlos, Rocha, Camilo, Osorio, Daniel

论文摘要

概率规格是快速获得概率系统统计建模的工具。在该领域中形式方法的主要目标之一是确保系统中存在或不存在特定的行为,直至一定的置信度阈值,无论其在不确定的信息中的操作方式如何。本文提出了一种重写逻辑语义,用于概率扩展事件-B,这是一种基于证明的离散系统建模的正式方法。提出的语义充分捕获了概率行为的三个来源,即概率分配,参数和并发。因此,模拟和概率的时间验证自动用于概率事件-B模型。该方法将作为输入概率事件-B规范,并输出概率重写理论,该理论在PMAUDE中是完全可执行的,可以在统计上对定量指标进行统计测试。该方法用论文中的示例说明了。

Probabilistic specifications are fast gaining ground as a tool for statistical modeling of probabilistic systems. One of the main goals of formal methods in this domain is to ensure that specific behavior is present or absent in the system, up to a certain confidence threshold, regardless of the way it operates amid uncertain information. This paper presents a rewriting logic semantics for a probabilistic extension of Event-B, a proof-based formal method for discrete systems modeling. The proposed semantics adequately captures the three sources of probabilistic behavior, namely, probabilistic assignments, parameters, and concurrency. Hence, simulation and probabilistic temporal verification become automatically available for probabilistic Event-B models. The approach takes as input a probabilistic Event-B specification, and outputs a probabilistic rewrite theory that is fully executable in PMaude and can be statistically tested against quantitative metrics. The approach is illustrated with examples in the paper.

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