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21st IEEE Symposium on Reliable Distributed Systems (SRDS'02)
A Unified Proof of Minimum Time Complexity for Reaching Consensus and Uniform Consensus — An Oracle-Based Approach
Osaka University, Suita, Japan
October 13-October 16
ISBN: 0-7695-1659-9
Jun Xu, Georgia Institute of Technology
In this paper, we offer new proofs to two lower bound results in distributed computing: a minimum of f +1 and f +2 rounds for reaching consensus and uniform consensus respectively when at most f fail-stop faults can happen. Here the computation model is synchronous message passing. Both proofs are based on a novel oracle argument. These two induction proofs are unified in the following sense: the induction steps are the same and only the initial step (f=0) needs to be proved separately. The techniques used in the proof offer new insights into the lower bound results in distributed computing.
Index Terms:
Consensus, uniform consensus, lower bounds, fault tolerance
Citation:
Jun Xu, "A Unified Proof of Minimum Time Complexity for Reaching Consensus and Uniform Consensus — An Oracle-Based Approach," srds, pp.102, 21st IEEE Symposium on Reliable Distributed Systems (SRDS'02), 2002
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