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In this work, we explore iterative approximate Byzantine consensus algorithms that do not make explicit use of the global parameter of the graph, i.e., the upper-bound on the number of faults, f.

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-27 Lewis Tseng , Nitin H. Vaidya

We address the problem of reaching consensus in the presence of Byzantine faults. In particular, we are interested in investigating the impact of messages relay on the network connectivity for a correct iterative approximate Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-17 Lili Su , Nitin Vaidya

Distributed learning has many computational benefits but is vulnerable to attacks from a subset of devices transmitting incorrect information. This paper investigates Byzantine-resilient algorithms in a decentralized setting, where devices…

Machine Learning · Computer Science 2025-07-04 Renaud Gaucher , Aymeric Dieuleveut , Hadrien Hendrikx

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

Approximate byzantine consensus is a fundamental problem of distributed computing. This paper presents a novel algorithm for approximate byzantine consensus, called Relay-ABC. The algorithm allows machines to achieve approximate consensus…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-29 Matthew Ding

This paper studies the design of Byzantine consensus algorithms in an \textit{asynchronous }single-hop network equipped with the "abstract MAC layer" [DISC09], which captures core properties of modern wireless MAC protocols. Newport…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-07 Lewis Tseng , Callie Sardina

We consider the problem of approximate consensus in mobile networks containing Byzantine nodes. We assume that each correct node can communicate only with its neighbors and has no knowledge of the global topology. As all nodes have moving…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-04 Chuanyou Li , Michel Hurfin , Yun Wang

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

We present a device-independent quantum scheme for the {\em Byzantine Generals} problem. The protocol is for three parties. Party $C$ is to send two identical one bit messages to parties $A$ and $B$. The receivers $A$ and $B$ may exchange…

Quantum Physics · Physics 2015-10-07 Ramij Rahaman , Marcin Wieśniak , Marek Żukowski

Causal ordering in an asynchronous system has many applications in distributed computing, including in replicated databases and real-time collaborative software. Previous work in the area focused on ordering point-to-point messages in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-01 Anshuman Misra , Ajay Kshemkalyani

Guerraoui proposed an indulgent solution for the binary consensus problem. Namely, he showed that an arbitrary behavior of the failure detector never violates safety requirements even if it compromises liveness. Consensus implementations…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-13 Oskar Lundström , Michel Raynal , Elad Michael Schiller

We consider an asynchronous network of $n$ message-sending parties, up to $t$ of which are byzantine. We study approximate agreement, where the parties obtain approximately equal outputs in the convex hull of their inputs. In their seminal…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-01 Mose Mizrahi Erbes , Roger Wattenhofer

We present a solution to consensus on a torus with Byzantine faults. Any solution to classic consensus that is tolerant to $f$ Byzantine faults requires $2f+1$ node-disjoint paths. Due to limited torus connectivity, this bound necessitates…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-10 Joseph Oglio , Kendric Hood , Gokarna Sharma , Mikhail Nesterenko

This paper explores the problem of reaching approximate consensus in synchronous point-to-point networks, where each directed link of the underlying communication graph represents a communication channel between a pair of nodes. We adopt…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-31 Lewis Tseng , Nitin Vaidya

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

Byzantine fault-tolerant (BFT) state machine replication (SMR) has been studied for over 30 years. Recently it has received more attention due to its application in permissioned blockchain systems. A sequence of research efforts focuses on…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-03 Ittai Abraham , Kartik Nayak , Ling Ren , Zhuolun Xiang

In the context of Byzantine consensus problems such as Byzantine broadcast (BB) and Byzantine agreement (BA), the good-case setting aims to study the minimal possible latency of a BB or BA protocol under certain favorable conditions, namely…

Cryptography and Security · Computer Science 2025-10-08 Yuval Efron , Joachim Neu , Ling Ren , Ertem Nusret Tas

Consider a synchronous point-to-point network of n nodes connected by directed links, wherein each node has a binary input. This paper proves a tight necessary and sufficient condition on the underlying communication topology for achieving…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-21 Lewis Tseng , Nitin Vaidya

We study the consensus problem in a synchronous distributed system of $n$ nodes under an adaptive adversary that has a slightly outdated view of the system and can block all incoming and outgoing communication of a constant fraction of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-03 Peter Robinson , Christian Scheideler , Alexander Setzer

The majority of the literature on consensus assumes that protocols are jointly started at all nodes of the distributed system. We show how to remove this problematic assumption in semi-synchronous systems, where messages delays and relative…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-01 Danny Dolev , Christoph Lenzen
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