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The Dolev-Reischuk lower bound establishes that any deterministic Byzantine Agreement (BA) protocol for $n$ processors tolerating $f$ faults requires $\Omega(f^2+n)$ messages. But what exactly does this quadratic cost pay for? Even the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-06 Andrew Lewis-Pye

In this paper, we consider the Byzantine reliable broadcast problem on authenticated and partially connected networks. The state-of-the-art method to solve this problem consists in combining two algorithms from the literature. Handling…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-27 Silvia Bonomi , Jérémie Decouchant , Giovanni Farina , Vincent Rahli , Sébastien Tixeuil

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

Byzantine agreement allows n processes to decide on a common value, in spite of arbitrary failures. The seminal Dolev-Reischuk bound states that any deterministic solution to Byzantine agreement exchanges Omega(n^2) bits. In synchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-25 Pierre Civit , Muhammad Ayaz Dzulfikar , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Manuel Vidigueira , Igor Zablotchi

Byzantine reliable broadcast is a powerful primitive that allows a set of processes to agree on a message from a designated sender, even if some processes (including the sender) are Byzantine. Existing broadcast protocols for this setting…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-21 Rachid Guerraoui , Petr Kuznetsov , Matteo Monti , Matej Pavlovic , Dragos-Adrian Seredinschi , Yann Vonlanthen

The Dolev-Reischuk bound says that any deterministic Byzantine consensus protocol has (at least) quadratic communication complexity in the worst case. While it has been shown that the bound is tight in synchronous environments, it is still…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-07 Pierre Civit , Muhammad Ayaz Dzulfikar , Seth Gilbert , Vincent Gramoli , Rachid Guerraoui , Jovan Komatovic , Manuel Vidigueira

King and Saia were the first to break the quadratic word complexity bound for Byzantine Agreement in synchronous systems against an adaptive adversary, and Algorand broke this bound with near-optimal resilience (first in the synchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Shir Cohen , Idit Keidar , Alexander Spiegelman

In this report, building on the deterministic multi-valued one-to-many Byzantine agreement (broadcast) algorithm in our recent technical report [2], we introduce a deterministic multi-valued all-to-all Byzantine agreement algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-08-27 Guanfeng Liang , Nitin Vaidya

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

Byzantine agreement (BA), the task of $n$ parties to agree on one of their input bits in the face of malicious agents, is a powerful primitive that lies at the core of a vast range of distributed protocols. Interestingly, in protocols with…

Cryptography and Security · Computer Science 2023-10-23 Elette Boyle , Ran Cohen , Aarushi Goel

This paper studies the distributed multi-agent resilient optimization problem under the f-total Byzantine attacks. Compared with the previous work on Byzantineresilient multi-agent exact optimization problems, we do not require the…

Optimization and Control · Mathematics 2023-03-29 Yang Zhai , Zhi-Wei Liu , Dong Yue , Songlin Hu , Xiangpeng Xie

We consider the following problem: two nodes want to reliably communicate in a dynamic multihop network where some nodes have been compromised, and may have a totally arbitrary and unpredictable behavior. These nodes are called Byzantine.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-17 Alexandre Maurer , Sébastien Tixeuil , Xavier Défago

Communication efficiency and robustness are two major issues in modern distributed learning framework. This is due to the practical situations where some computing nodes may have limited communication power or may behave adversarial…

Machine Learning · Statistics 2021-03-02 Xingcai Zhou , Le Chang , Pengfei Xu , Shaogao Lv

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

The Byzantine agreement problem requires a set of $n$ processes to agree on a value sent by a transmitter, despite a subset of $b$ processes behaving in an arbitrary, i.e. Byzantine, manner and sending corrupted messages to all processes in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-30 Cheng Wang , Carole Delporte-Gallet , Hugues Fauconnier , Rachid Guerraoui , Anne-Marie Kermarrec

In this paper, we study the Byzantine lattice agreement problem in synchronous systems. The lattice agreement problem in crash failure model has been studied both in synchronous and asynchronous systems, which leads to the current best…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-18 Xiong Zheng , Vijay Garg

Given a network in which some pairs of nodes can communicate freely, and some subsets of the nodes could be faulty and colluding to disrupt communication, when can messages reliably be sent from one given node to another? We give a new…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-11 Adam Hesterberg , Andrea Lincoln , Jayson Lynch

Reaching agreement in the presence of arbitrary faults is a fundamental problem in distributed computation, which has been shown to be unsolvable if one-third of the processes can fail, unless signed messages are used. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-20 Vicent Cholvi

The Byzantine agreement problem is considered to be a core problem in distributed systems. For example, Byzantine agreement is needed to build a blockchain, a totally ordered log of records. Blockchains are asynchronous distributed systems,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-27 Ye Wang , Roger Wattenhofer

Byzantine agreement protocols in asynchronous networks have gained renewed attention due to their independence from network timing assumptions to ensure termination. Traditional asynchronous Byzantine agreement protocols require every party…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-10 Nasit S Sony