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Perfect failure detection with very few bits

  • Pierre Fraigniaud
  • , Sergio Rajsbaum
  • , Corentin Travers
  • , Petr Kuznetsov
  • , Thibault Rieutord
  • Université Paris 7
  • Universidad Nacional Autónoma de México
  • SCRIME - LaBRI, Université Bordeaux 1
  • Telecom Paris

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A failure detector is a distributed oracle that provides each process with a module that continuously outputs an estimate of which processes in the system have failed. The perfect failure detector provides accurate and eventually complete information about process failures. We show that, in asynchronous failure-prone message-passing systems, perfect failure detection can be achieved by an oracle that outputs at most ⌈log α(n)⌉ + 1 bits per process in n-process systems, where α denotes the inverse-Ackermann function. This result is essentially optimal, as we also show that, in the same environment, no failure detector outputting a constant number of bits per process can achieve perfect failure detection.

Original languageEnglish
Title of host publicationStabilization, Safety, and Security of Distributed Systems - 18th International Symposium, SSS 2016, Proceedings
EditorsFranck Petit, Borzoo Bonakdarpour
PublisherSpringer Verlag
Pages154-169
Number of pages16
ISBN (Print)9783319492582
DOIs
Publication statusPublished - 1 Jan 2016
Event18th International Symposium on Stabilization, Safety, and Security of Distributed Systems, SSS 2016 - Lyon, France
Duration: 7 Nov 201610 Nov 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10083 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference18th International Symposium on Stabilization, Safety, and Security of Distributed Systems, SSS 2016
Country/TerritoryFrance
CityLyon
Period7/11/1610/11/16

Keywords

  • Failure detectors
  • Higman’s lemma
  • Well-quasi-order

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