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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

The strong Byzantine agreement (SBA) problem is defined among n processes, out of which t < n can be faulty and behave arbitrarily. SBA allows correct (non-faulty) processes to agree on a common value. Moreover, if all correct processes…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-08 Pierre Civit , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Manuel Vidigueira

Robust aggregation is the core operation in Byzantine-tolerant federated learning. To ensure the quality of aggregation independently of data distribution or attacks, validity conditions are needed. They provide geometric guarantees of…

Machine Learning · Computer Science 2026-05-18 Mélanie Cambus , Darya Melnyk , Tijana Milentijević , Stefan Schmid

We present two distributed algorithms for the {\em Byzantine counting problem}, which is concerned with estimating the size of a network in the presence of a large number of Byzantine nodes. In an $n$-node network ($n$ is unknown), our…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-27 Soumyottam Chatterjee , Gopal Pandurangan , Peter Robinson

In this paper, we consider a min-max optimization problem under adversarial manipulation, where there are $n$ cost functions, up to $f$ of which may be replaced by arbitrary faulty functions by an adversary. The goal is to minimize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-19 Shuo Liu , Nitin Vaidya

In Byzantine collaborative learning, $n$ clients in a peer-to-peer network collectively learn a model without sharing their data by exchanging and aggregating stochastic gradient estimates. Byzantine clients can prevent others from…

Machine Learning · Computer Science 2025-04-08 Mélanie Cambus , Darya Melnyk , Tijana Milentijević , Stefan Schmid

This paper explores the problem good-case latency of Byzantine fault-tolerant broadcast, motivated by the real-world latency and performance of practical state machine replication protocols. The good-case latency measures the time it takes…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-14 Ittai Abraham , Kartik Nayak , Ling Ren , Zhuolun Xiang

In this paper we propose Aleph, a leaderless, fully asynchronous, Byzantine fault tolerant consensus protocol for ordering messages exchanged among processes. It is based on a distributed construction of a partially ordered set and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-30 Adam Gągol , Michał Świętek

In this paper we extend the \emph{Multidimensional Byzantine Agreement (MBA) Protocol}, a {leaderless} Byzantine agreement for lists of arbitrary values, into a protocol suitable for wide gossiping networks: \emph{Cob}. This generalization…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-11 Andrea Flamini , Riccardo Longo , Alessio Meneghetti

We demonstrate that the Byzantine Agreement Problem (BAP) in its weaker version with detectable broadcast, can be solved using continuous variables Gaussian states with Gaussian operations. The protocol uses genuine tripartite symmetric…

Quantum Physics · Physics 2013-05-29 Rodion Neigovzen , Anna Sanpera

To improve the overall efficiency and reliability of Byzantine protocols in large sparse networks, we propose a new system assumption for developing multi-scale fault-tolerant systems, with which several kinds of multi-scale Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-08 Shaolin Yu , Jihong Zhu , Jiali Yang , Yulong Zhan

The goal of Byzantine Broadcast (BB) is to allow a set of fault-free nodes to agree on information that a source node wants to broadcast to them, in the presence of Byzantine faulty nodes. We consider design of efficient algorithms for BB…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-05-03 Guanfeng Liang , Nitin Vaidya

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

This paper studies the lattice agreement problem and proposes a stronger form, $\varepsilon$-bounded lattice agreement, that enforces an additional tightness constraint on the outputs. To formalize the concept, we define a quasi-metric on…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-04 Abdullah Rasheed , Nidhi Dubagunta

As Byzantine Agreement (BA) protocols find application in large-scale decentralized cryptocurrencies, an increasingly important problem is to design BA protocols with improved communication complexity. A few existing works have shown how to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-18 Ittai Abraham , T-H. Hubert Chan , Danny Dolev , Kartik Nayak , Rafael Pass , Ling Ren , Elaine Shi

Lower bounds and impossibility results in distributed computing are both intellectually challenging and practically important. Hundreds if not thousands of proofs appear in the literature, but surprisingly, the vast majority of them apply…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-13 Guy Goren , Yoram Moses , Alexander Spiegelman

In this work we look at Byzantine consensus in asynchronous systems under the local broadcast model. In the local broadcast model, a message sent by any node is received identically by all of its neighbors in the communication network,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-09 Muhammad Samir Khan , Nitin Vaidya

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

Gradecast is a simple three-round algorithm presented by Feldman and Micali. The current work presents a very simple algorithm that utilized Gradecast to achieve Byzantine agreement. Two small variations of the presented algorithm lead to…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-09-30 Michael Ben-Or , Danny Dolev , Ezra N. Hoch

In this work, we propose an error-free, information-theoretically secure multi-valued asynchronous Byzantine agreement (ABA) protocol, called OciorABA. This protocol achieves ABA consensus on an $\ell$-bit message with an expected…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-28 Jinyuan Chen