No double discount: Condition-based simultaneity yields limited gain

  • Authors:
  • Yoram Moses;Michel Raynal

  • Affiliations:
  • Department of Electrical Engineering, Technion, Haifa 32000, Israel;Institut Universitaire de France & IRISA, Campus de Beaulieu, 35042 Rennes Cedex, France

  • Venue:
  • Information and Computation
  • Year:
  • 2012

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Abstract

We consider the consensus problem in synchronous message-passing distributed systems. A celebrated result states that every protocol that is guaranteed to tolerate up to t crash failures has a worst-case execution in which some process does not decide before the end of t+1 rounds. A variant of the problem in which the set of input vectors is restricted is called condition-based consensus. In this setting, Mostefaoui, Rajsbaum and Raynal defined a natural degree of restriction called the condition of the set of input vectors that a protocol is assumed to handle. The condition is a natural number d=