Probabilistic Opaque Quorum Systems

13 years 10 months ago

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Byzantine-fault-tolerant service protocols like Q/U and FaB Paxos that optimistically order requests can provide increased eﬃciency and fault scalability. However, these protocols require n ≥ 5b + 1 servers (where b is the maximum number of faults tolerated), owing to their use of opaque Byzantine quorum systems; this is 2b more servers than required by some non-optimistic protocols. In this paper, we present a family of probabilistic opaque Byzantine quorum systems that require substantially fewer servers. Our analysis is novel in that it assumes Byzantine clients, anticipating that a faulty client may seek quorums that maximize the probability of error. Using this as motivation, we present an optional, novel protocol that allows probabilistic quorum systems to tolerate Byzantine clients. The protocol requires only one additional round of interaction between the client and the servers, and this round may be amortized over multiple operations. We consider actual error probabilities...

Michael G. Merideth, Michael K. Reiter

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