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arXiv · 1512.06227

A Necessary Condition for Byzantine $k$-Set Agreement

Zohir Bouzid·Damien Imbs·Michel Raynal
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Abstract

This short paper presents a necessary condition for Byzantine $k$-set agreement in (synchronous or asynchronous) message-passing systems and asynchronous shared memory systems where the processes communicate through atomic single-writer multi-reader registers. It gives a proof, which is particularly simple, that $k$-set agreement cannot be solved $t$-resiliently in an $n$-process system when $n \leq 2t + \frac{t}{k}$. This bound is tight for the case $k=1$ (Byzantine consensus) in synchronous message-passing systems.

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Zohir Bouzid, Damien Imbs, Michel Raynal. 2015-12-19. A Necessary Condition for Byzantine $k$-Set Agreement. https://arxiv.org/abs/1512.06227

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