International Association
for Cryptologic Research

Byzantine Agreement (BA) allows $n$ processes to propose input values to reach consensus on a common, valid $L_o$-bit value, even in the presence of up to $t < n$ faulty processes that can deviate arbitrarily from the protocol. Although strategies like randomization, adaptiveness, and batching have been extensively explored to mitigate the inherent limitations of one-shot agreement tasks, there has been limited progress on achieving good amortized performance for multi-shot agreement, despite its obvious relevance to long-lived functionalities such as state machine replication.

Observing that a weak form of accountability suffices to identify and exclude malicious processes, we propose new efficient and deterministic multi-shot agreement protocols for multi-value validated Byzantine agreement (MVBA) with a strong unanimity validity property (SMVBA) and interactive consistency (IC). Specifically, let $\kappa$ represent the size of the cryptographic objects needed to solve Byzantine agreement when $n<3t$. We achieve both IC and SMVBA with $O(1)$ amortized latency, with a bounded number of slower instances. The SMVBA protocol has $O(nL_o +n\kappa)$ amortized communication and the IC has $O(nL_o + n^2\kappa)$ amortized communication. For input values larger than $\kappa$, our protocols are asymptotically optimal. These results mark a substantial improvement—up to a linear factor, depending on $L_o$—over prior results. To the best of our knowledge, the present paper is the first to achieve the long-term goal of implementing a state machine replication abstraction of a distributed service that is just as fast and efficient as its centralized version, but with greater robustness and availability.