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- W4285051928 abstract "The paper studies the problem of reaching agreement in a distributed message-passing system prone to crash failures. Crashes are generated by constrained adversaries - a wadapt adversary, who has to fix in advance the set of $f$ crash-prone processes, or a chainadapt adversary, who orders all the processes into $k$ disjoint chains and has to follow this pattern when crashing them. Apart from these constraints, both of them may crash processes in an adaptive way at any time. While commonly used sadapt adversaries model attacks and noadapt ones -- pre-defined faults, the constrained adversaries model more realistic scenarios when there are fault-prone dependent processes, e.g., in hierarchical or dependable software/hardware systems. We propose time-efficient consensus algorithms against such adversaries and also show how to improve the message complexity of proposed solutions. Finally, we show how to reach consensus against a kthick adversary, limited by an arbitrary partial order dk{with a maximal anti-chain of length $k$}. We complement our algorithmic results with (almost) tight lower bounds, and extend the one for wadapt adversaries to hold also for (syntactically) weaker noadapt adversaries. Together with the consensus algorithm against wadapt adversaries (which automatically translates to noadapt adversaries), these results extend the state-of-the-art of the popular class of noadapt adversaries, in particular the result of Chor, Meritt and Shmoys~cite{CMS}, and prove general separation between sadapt and the constrained adversaries (including noadapt) analyzed by Bar-Joseph and Ben-Or~cite{BB} and others." @default.
- W4285051928 created "2022-07-13" @default.
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- W4285051928 date "2019-05-16" @default.
- W4285051928 modified "2023-09-25" @default.
- W4285051928 title "On the complexity of fault-tolerant consensus" @default.
- W4285051928 doi "https://doi.org/10.48550/arxiv.1905.07063" @default.
- W4285051928 hasPublicationYear "2019" @default.
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