Simple constant-time consensus protocols in realistic failure models

Abstract
Using simple protocols, it is shown how to achieve consensus in constant expected time, within a variety of fail-stop and omission failure models. Significantly, the strongest models considered are completely asynchronous. All of the results are based on distributively flipping a coin, which is usable by a significant majority of the processors. Finally, a nearly matching lower bound is also given for randomized protocols for consensus.

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