arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2011.02224cs.DC
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分布式决策的反应式证明标记方案

Reactive Proof Labeling Schemes for Distributed Decision

Jiaqi Chen, Shlomi Dolev, Shay Kutten

摘要:

我们将证明标记方案的定义推广到反应系统,即配置应该永远保持变化的系统。作为一个例子,我们解决了主要的经典测试案例的反应任务,即令牌传递的任务。在网络为树、匿名环和一般图的情况下,给出了不同的RPLS,并分析了RPLS标签的大小。我们还讨论了是否存在RPLS的问题。首先,在积极的一面,我们表明,存在一个RPLS的任何分布式任务的一个家庭的图具有唯一的身份。有趣的是,对于匿名网络的情况(甚至对于环的特殊情况),即使节点的数量n已知,也没有令牌传递算法是可能的。然而,我们表明,RPLS是可能的。在消极的一面,我们表明,如果一个下降的假设,n是已知的,那么建设成为不可能的。

英文摘要:

We generalize the definition of Proof Labeling Schemes to reactive systems, that is, systems where the configuration is supposed to keep changing forever. As an example, we address the main classical test case of reactive tasks, namely, the task of token passing. Different RPLSs are given for the cases that the network is assumed to be a tree or an anonymous ring, or a general graph, and the sizes of RPLSs' labels are analyzed. We also address the question of whether an RPLS exists. First, on the positive side, we show that there exists an RPLS for any distributed task for a family of graphs with unique identities. For the case of anonymous networks (even for the special case of rings), interestingly, it is known that no token passing algorithm is possible even if the number n of nodes is known. Nevertheless, we show that an RPLS is possible. On the negative side, we show that if one drops the assumption that n is known, then the construction becomes impossible.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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