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Parameterized Verification of Many Identical Probabilistic Timed Processes

机译:许多相同概率时间过程的参数化验证

摘要

Parameterized verification aims at validating a systemu27s model irrespective of the value of a parameter. We introduce a model for networks of identical probabilistic timed processes, where the number of processes is a parameter. Each process is a probabilistic single-clock timed automaton and communicates with the others by broadcasting. The number of processes either is constant (static case), or evolves over time through random disappearances and creations (dynamic case). An example of relevant parameterized verification problem for these systems is whether, independently of the number of processes, a configuration where one process is in a target state is reached almost-surely under all scheduling policies. On the one hand, most parameterized verification problems turn out to be undecidable in the static case (even for untimed processes). On the other hand, we prove their decidability in the dynamic case.
机译:参数化验证旨在验证系统模型,而与参数值无关。我们介绍了具有相同概率定时过程的网络的模型,其中过程数是一个参数。每个过程都是一个概率单时钟定时自动机,并通过广播与其他进程通信。进程的数量可以是恒定的(静态),也可以随着时间的流逝而随机消失和创建(动态)。这些系统的相关参数化验证问题的一个示例是,是否与进程数量无关,几乎在所有调度策略下都能确定某个进程处于目标状态的配置。一方面,大多数参数化验证问题在静态情况下都是无法确定的(即使对于不定时的过程也是如此)。另一方面,我们证明了它们在动态情况下的可判定性。

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