QuAK:定量自动机工具包

Marek Chalupa, Thomas A. Henzinger, Nicolas Mazzocchi, N. Ege Saraç
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引用次数: 0

摘要

系统行为传统上是通过二元正确性分类进行评估的,这对于涉及系统和执行的定量方面的属性来说是不够的。定量自动机提供了一种更细致的方法,通过结合加权过渡和值函数概括接受条件,将每个执行映射为一个实数。在本文中,我们将介绍 QuAK,这是第一款用于自动分析定量自动机的工具。QuAK 目前支持多种定量自动机类型,包括 Inf、Sup、LimInf、LimSup、LimInfAvg 和 LimSupAvgautomata,并实现了空性、普遍性、包含性、等价性等问题的判定程序,以及自动机是否安全、有效或恒定的检查程序。此外,QuAK 还能在可能的情况下计算极值、构建安全性分解和监控系统行为。我们通过实验证明了 QuAK 的有效性,重点是包含、恒定函数检查和监控问题。
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QuAK: Quantitative Automata Kit
System behaviors are traditionally evaluated through binary classifications of correctness, which do not suffice for properties involving quantitative aspects of systems and executions. Quantitative automata offer a more nuanced approach, mapping each execution to a real number by incorporating weighted transitions and value functions generalizing acceptance conditions. In this paper, we introduce QuAK, the first tool designed to automate the analysis of quantitative automata. QuAK currently supports a variety of quantitative automaton types, including Inf, Sup, LimInf, LimSup, LimInfAvg, and LimSupAvg automata, and implements decision procedures for problems such as emptiness, universality, inclusion, equivalence, as well as for checking whether an automaton is safe, live, or constant. Additionally, QuAK is able to compute extremal values when possible, construct safety-liveness decompositions, and monitor system behaviors. We demonstrate the effectiveness of QuAK through experiments focusing on the inclusion, constant-function check, and monitoring problems.
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