Of Choices, Failures and Asynchrony: The Many Faces of Set Agreement - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Algorithmica Year : 2012

Of Choices, Failures and Asynchrony: The Many Faces of Set Agreement

Abstract

Set agreement is a fundamental problem in distributed computing in which processes collectively choose a small subset of values from a larger set of proposals. The impossibility of fault-tolerant set agreement in asynchronous networks is one of the seminal results in distributed computing. In synchronous networks, too, the complexity of set agreement has been a significant research challenge that has now been resolved. Real systems, however, are neither purely synchronous nor purely asynchronous. Rather, they tend to alternate between periods of synchrony and periods of asynchrony. Nothing specific is known about the complexity of set agreement in such a "partially synchronous" setting. In this paper, we address this challenge, presenting the first (asymptotically) tight bound on the complexity of set agreement in such systems. We introduce a novel technique for simulating, in a fault-prone asynchronous shared memory, executions of an asynchronous and failure-prone message-passing system in which some fragments appear synchronous to some processes. We use this simulation technique to derive a lower bound on the round complexity of set agreement in a partially synchronous system by a reduction from asynchronous wait-free set agreement. Specifically, we show that every set agreement protocol ret quires at least k + 2 synchronous rounds to decide. We present an (asymptotically) matching algorithm that relies on a distributed asynchrony detection mechanism to decide as soon as possible during periods of synchrony. From these two results, we derive the size of the minimal window of synchrony needed to solve set agreement.
Fichier principal
Vignette du fichier
kset-algorithmica.pdf (284.96 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00992774 , version 1 (19-05-2014)

Identifiers

  • HAL Id : hal-00992774 , version 1

Cite

Dan Alistarh, Seth Gilbert, Rachid Guerraoui, Corentin Travers. Of Choices, Failures and Asynchrony: The Many Faces of Set Agreement. Algorithmica, 2012, 62 (1-2), pp.595-629. ⟨hal-00992774⟩

Collections

CNRS
147 View
75 Download

Share

Gmail Facebook Twitter LinkedIn More