The weakest failure detector for solving k-set agreement

  • Authors:
  • Eli Gafni;Petr Kuznetsov

  • Affiliations:
  • UCLA, Los Angeles, CA, USA;TU Berlin, Berlin, Germany

  • Venue:
  • Proceedings of the 28th ACM symposium on Principles of distributed computing
  • Year:
  • 2009

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Abstract

A failure detector is a distributed oracle that provides processes in a distributed system with hints about failures. The notion of a weakest failure detector captures the exact amount of synchrony needed for solving a given distributed computing problem. In this paper, we determine the weakest failure detector for solving k-set agreement among n processes (n k) using reads and writes in shared memory, regardless of the assumptions on when and where failures might occur. This failure detector is derived directly from the impossibility of wait-free k + 1-process k-set agreement. Our approach can be viewed as an extension of the asynchronous BG-simulation technique to partially synchronous systems.