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Verification of Randomized Distributed Algorithms

机译:随机分布算法的验证

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摘要

We describe modular verification techniques for randomized distributed algorithms as extensions of techniques for ordinary, non randomized, distributed algorithms. The main difficulty to overcome arises from the subtle interplay between probability and nondeterminism, where probability is due to the random choices that occur within an algorithm, and nondeterminism is due to the unknown speeds and scheduling policies of the processes. The techniques that we introduce are based on separation of probability from nondeterminism. When the nondeterminism is factored out, the analysis of an algorithm has several pieces that are in common with the area of performance evaluation. Thus, the techniques that we describe are likely to constitute a bridge to export typical performance evaluation techniques to the area of concurrent nondeterministic systems and, vice versa, to understand alternative ways for handling nondeterminism when it arises.
机译:我们将针对随机分布算法的模块化验证技术描述为对普通,非随机分布算法的技术扩展。要克服的主要困难来自概率和不确定性之间的微妙相互作用,其中概率是由于算法中发生的随机选择而引起的,不确定性是由于进程的速度和调度策略未知而引起的。我们介绍的技术基于概率与不确定性的分离。排除不确定因素后,算法分析将具有与性能评估领域相同的几项内容。因此,我们描述的技术很可能构成一座桥梁,将典型的性能评估技术导出到并发的不确定性系统领域,反之亦然,以便理解在出现不确定性时的替代方法。

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