Redundancy in distributed proofs.

IF 1.3 4区 计算机科学 Q3 COMPUTER SCIENCE, THEORY & METHODS Distributed Computing Pub Date : 2021-01-01 Epub Date: 2020-10-07 DOI:10.1007/s00446-020-00386-z
Laurent Feuilloley, Pierre Fraigniaud, Juho Hirvonen, Ami Paz, Mor Perry
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引用次数: 22

Abstract

Distributed proofs are mechanisms that enable the nodes of a network to collectively and efficiently check the correctness of Boolean predicates on the structure of the network (e.g., having a specific diameter), or on objects distributed over the nodes (e.g., a spanning tree). We consider well known mechanisms consisting of two components: a prover that assigns a certificate to each node, and a distributed algorithm called a verifier that is in charge of verifying the distributed proof formed by the collection of all certificates. We show that many network predicates have distributed proofs offering a high level of redundancy, explicitly or implicitly. We use this remarkable property of distributed proofs to establish perfect tradeoffs between the size of the certificate stored at every node, and the number of rounds of the verification protocol.

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分布式证明中的冗余。
分布式证明是一种机制,它使网络节点能够集体有效地检查布尔谓词在网络结构(例如,具有特定直径)或分布在节点上的对象(例如,生成树)上的正确性。我们考虑由两个组件组成的众所周知的机制:一个向每个节点分配证书的证明者,以及一个称为验证者的分布式算法,该算法负责验证由所有证书集合形成的分布式证明。我们表明,许多网络谓词具有分布式证明,显式或隐式地提供了高水平的冗余。我们利用分布式证明的这一显著特性,在每个节点存储的证书大小和验证协议的轮数之间建立了完美的权衡。
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来源期刊
Distributed Computing
Distributed Computing 工程技术-计算机:理论方法
CiteScore
3.20
自引率
0.00%
发文量
24
审稿时长
>12 weeks
期刊介绍: The international journal Distributed Computing provides a forum for original and significant contributions to the theory, design, specification and implementation of distributed systems. Topics covered by the journal include but are not limited to: design and analysis of distributed algorithms; multiprocessor and multi-core architectures and algorithms; synchronization protocols and concurrent programming; distributed operating systems and middleware; fault-tolerance, reliability and availability; architectures and protocols for communication networks and peer-to-peer systems; security in distributed computing, cryptographic protocols; mobile, sensor, and ad hoc networks; internet applications; concurrency theory; specification, semantics, verification, and testing of distributed systems. In general, only original papers will be considered. By virtue of submitting a manuscript to the journal, the authors attest that it has not been published or submitted simultaneously for publication elsewhere. However, papers previously presented in conference proceedings may be submitted in enhanced form. If a paper has appeared previously, in any form, the authors must clearly indicate this and provide an account of the differences between the previously appeared form and the submission.
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