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The Disagreement Power of an Adversary

  • Carole Delporte-Gallet
  • Hugues Fauconnier
  • Rachid Guerraoui
  • Andreas Tielmann
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5805)

Abstract

At the heart of distributed computing lies the fundamental result that the level of agreement that can be obtained in an asynchronous shared memory model where t processes can crash is exactly t + 1. In other words, an adversary that can crash any subset of size at most t can prevent the processes from agreeing on t values. But what about the remaining (\(2^{2^n} -n\)) adversaries that might crash certain combination of processes and not others?

This paper presents a precise way to characterize such adversaries by introducing the notion of disagreement power: the biggest integer k for which the adversary can prevent processes from agreeing on k values. We show how to compute the disagreement power of an adversary and how this notion enables to derive n equivalence classes of adversaries.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Carole Delporte-Gallet
    • 1
  • Hugues Fauconnier
    • 1
  • Rachid Guerraoui
    • 2
  • Andreas Tielmann
    • 1
  1. 1.LIAFAUniversité Paris DiderotParisFrance
  2. 2.Distributed Programming LaboratoryEPFLLausanneSwitzerland

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