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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

Reliable broadcast is an important primitive to ensure that a source node can reliably disseminate a message to all the non-faulty nodes in an asynchronous and failure-prone networked system. Byzantine Reliable Broadcast protocols were…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-30 Yingjian Wu , Haochen Pan , Saptaparni Kumar , Lewis Tseng

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 consider the problem of reliably broadcasting information in a multihop asynchronous network, despite the presence of Byzantine failures: some nodes are malicious and behave arbitrarly. We focus on non-cryptographic solutions. Most…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-10 Alexandre Maurer , Sébastien Tixeuil

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

In distributed computing, the renaming problem requires $n$ nodes with unique identities from a large namespace $[N]$ to acquire new, distinct identities from a smaller target namespace $[M]$. A solution is strong if $M=n$, and is…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Sirui Bai , Xinyu Fu , Yuyi Wang , Chaodong Zheng

In this paper, we study the problem of \emph{Byzantine Agreement with predictions}. Along with a proposal, each process is also given a prediction, i.e., extra information which is not guaranteed to be true. For example, one might imagine…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Naama Ben-David , Muhammad Ayaz Dzulfikar , Faith Ellen , Seth Gilbert

We propose Byzantine-robust federated learning protocols with nearly optimal statistical rates. In contrast to prior work, our proposed protocols improve the dimension dependence and achieve a tight statistical rate in terms of all the…

Machine Learning · Computer Science 2023-03-21 Banghua Zhu , Lun Wang , Qi Pang , Shuai Wang , Jiantao Jiao , Dawn Song , Michael I. Jordan

Byzantine agreement is a fundamental problem in fault-tolerant distributed networks that has been studied intensively for the last four decades. Most of these works designed protocols for complete networks. A key goal in Byzantine protocols…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-29 John Augustine , Fabien Dufoulon , Gopal Pandurangan

We study the gathering problem to make multiple agents initially scattered in arbitrary networks gather at a single node. There exist $k$ agents with unique identifiers (IDs) in the network, and $f$ of them are weakly Byzantine agents,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-31 Jion Hirose , Junya Nakamura , Fukuhito Ooshita , Michiko Inoue

An urgent demand of deploying BFT consensus over the Internet is raised for implementing blockchain services. The deterministic (partial) synchronous protocols can be simple and fast in good network conditions, but are subject to…

Cryptography and Security · Computer Science 2022-09-02 Yuan Lu , Zhenliang Lu , Qiang Tang

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

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

Parallel Byzantine Fault Tolerant (BFT) protocols based on committee-based sharding improve scalability but weaken safety since smaller node groups are responsible for consensus. Recent approaches integrate trusted execution environments…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-17 Yifei Xie , Btissam Er-Rahmadi , Xiao Chen , Tiejun Ma , Jane Hillston

A nonlocal bipartite unitary gate can sometimes be implemented using prior entanglement and only one round of classical communication in which the two parties send messages to each other simultaneously. This cuts the classical communication…

Quantum Physics · Physics 2013-03-13 Li Yu

Threshold cryptography is essential for many blockchain protocols. For example, many protocols rely on threshold common coin to implement asynchronous consensus, leader elections, and provide support for randomized applications. Similarly,…

Cryptography and Security · Computer Science 2025-05-26 Zhuolun Xiang , Sourav Das , Zekun Li , Zhoujun Ma , Alexander Spiegelman

We give an introduction to federated Byzantine agreement systems (FBAS) with many examples ranging from small "academic" cases to the current Stellar network. We then analyze the main concepts from a mathematical and an algorithmic point of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-04 André Gaul , Ismail Khoffi , Jörg Liesen , Torsten Stüber

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

Privacy-preserving federated averaging is a central approach for protecting client privacy in federated learning. In this paper, we study this problem in an asynchronous communications setting with malicious aggregators. We propose a new…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-09 Antonella Del Pozzo , Achille Desreumaux , Mathieu Gestin , Alexandre Rapetti , Sara Tucci-Piergiovanni

Agreement protocols are crucial in various emerging applications, spanning from distributed (blockchains) oracles to fault-tolerant cyber-physical systems. In scenarios where sensor/oracle nodes measure a common source, maintaining output…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-08 Akhil Bandarupalli , Adithya Bhat , Saurabh Bagchi , Aniket Kate , Chen-Da Liu-Zhang , Michael K. Reiter