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The Byzantine consensus problem involves $n$ processes, out of which t < n could be faulty and behave arbitrarily. Three properties characterize consensus: (1) termination, requiring correct (non-faulty) processes to eventually reach a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-27 Pierre Civit , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Manuel Vidigueira

We describe an algorithm for Byzantine agreement that is scalable in the sense that each processor sends only $\tilde{O}(\sqrt{n})$ bits, where $n$ is the total number of processors. Our algorithm succeeds with high probability against an…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-02-25 Valerie King , Jared Saia

This paper introduces a deterministic Byzantine consensus algorithm that relies on a new weak coordinator. As opposed to previous algorithms that cannot terminate in the presence of a faulty or slow coordinator, our algorithm can terminate…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Tyler Crain , Vincent Gramoli , Mikel Larrea , Michel Raynal

Modular methods to transform Byzantine consensus protocols into ones that are fast and communication efficient in the common cases are presented. Small and short protocol segments called layers are custom designed to optimize performance in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-16 Guy Goren , Yoram Moses

Consider a distributed system with $n$ processors out of which $f$ can be Byzantine faulty. In the approximate agreement task, each processor $i$ receives an input value $x_i$ and has to decide on an output value $y_i$ such that - the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-20 Thomas Nowak , Joel Rybicki

We demonstrate a deterministic Byzantine consensus algorithm with synchronous operation in partial synchrony. It is naturally leaderless, tolerates any number of $ f<n/2 $ Byzantine processes with 2 rounds of exchange of originator-only…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-16 Ivan Klianev

This paper studies the Byzantine Agreement problem where the nodes have access to a predictor that flags nodes for suspicion of faulty (Byzantine) behavior. We focus on algorithmic resilience -- the maximum number of faulty nodes an…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-20 Julien Dallot , Darya Melnyk , Tijana Milentijevic , Stefan Schmid , Patrik Welters

This paper describes a simple and efficient asynchronous Binary Byzantine faulty tolerant consensus algorithm. In the algorithm, non-faulty nodes perform an initial broadcast followed by a executing a series of rounds each consisting of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-12 Tyler Crain

Byzantine agreement is a fundamental problem in fault-tolerant distributed computing that has been studied intensively for the last four decades. Much of the research has focused on a static Byzantine adversary, where the adversary is…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-06 Fabien Dufoulon , Gopal Pandurangan

Randomisation is a critical tool in designing distributed systems. The common coin primitive, enabling the system members to agree on an unpredictable random number, has proven to be particularly useful. We observe, however, that it is…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-25 Luciano Freitas , Petr Kuznetsov , Andrei Tonkikh

Convex Agreement (CA) strengthens Byzantine Agreement (BA) by requiring the output agreed upon to lie in the convex hull of the honest parties' inputs. This validity condition is motivated by practical aggregation tasks (e.g., robust…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Marc Dufay , Diana Ghinea , Anton Paramonov

The problem of Byzantine consensus has been key to designing secure distributed systems. However, it is particularly difficult, mainly due to the presence of Byzantine processes that act arbitrarily and the unknown message delays in general…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-05 Alejandro Ranchal-Pedrosa , Vincent Gramoli

We provide the first protocol that solves Byzantine agreement with optimal early stopping ($\min\{f+2,t+1\}$ rounds) and optimal resilience ($n>3t$) using polynomial message size and computation. All previous approaches obtained sub-optimal…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-16 Ittai Abraham , Danny Dolev

Randomized algorithm that achieves multi-valued Byzantine agreement with high probability, and achieves optimal complexity.

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-29 Guanfeng Liang , Nitin Vaidya

It is a common belief that Byzantine fault-tolerant solutions for consensus are significantly slower than their crash fault-tolerant counterparts. Indeed, in PBFT, the most widely known Byzantine fault-tolerant consensus protocol, it takes…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-28 Petr Kuznetsov , Andrei Tonkikh , Yan X Zhang

Byzantine Agreement (BA) considers a setting of $n$ parties, out of which up to $t$ can exhibit byzantine (malicious) behavior. Honest parties must decide on a common value (agreement), which must belong to a set determined by the honest…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-11 Andrei Constantinescu , Marc Dufay , Diana Ghinea , Roger Wattenhofer

Motivated, in part, by the rise of permissionless systems such as Bitcoin where arbitrary nodes (whose identities are not known apriori) can join and leave at will, we extend established research in scalable Byzantine agreement to a more…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-26 John Augustine , Valerie King , Anisur R. Molla , Gopal Pandurangan , Jared Saia

This paper introduces a family of leaderless Byzantine fault tolerance protocols, built around a metastable mechanism via network subsampling. These protocols provide a strong probabilistic safety guarantee in the presence of Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-25 Team Rocket , Maofan Yin , Kevin Sekniqi , Robbert van Renesse , Emin Gün Sirer

A set of mutually distrusting participants that want to agree on a common opinion must solve an instance of a Byzantine agreement problem. These problems have been extensively studied in the literature. However, most of the existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-23 Pankaj Khanchandani , Roger Wattenhofer

Low latency is one of the most desirable features of partially synchronous Byzantine consensus protocols. Existing low-latency protocols have achieved consensus with just two communication steps by reducing the maximum number of faults the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-30 Mohammad M. Jalalzai , Chen Feng , Victoria Lemieux