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We study a general framework for broadcast gossip algorithms which use companion variables to solve the average consensus problem. Each node maintains an initial state and a companion variable. Iterative updates are performed asynchronously…

Systems and Control · Computer Science 2012-09-03 Wu Shaochuan , Michael G. Rabbat

In this paper, we consider a resilient consensus problem for the multi-agent network where some of the agents are subject to Byzantine attacks and may transmit erroneous state values to their neighbors. In particular, we develop an…

Multiagent Systems · Computer Science 2023-06-07 Liwei Yuan , Hideaki Ishii

We introduce the problem of determining the identity of a byzantine user (internal adversary) in a communication system. We consider a two-user discrete memoryless multiple access channel where either user may deviate from the prescribed…

Information Theory · Computer Science 2024-09-26 Neha Sangwan , Mayank Bakshi , Bikash Kumar Dey , Vinod M. Prabhakaran

Much of the past work on asynchronous approximate Byzantine consensus has assumed scalar inputs at the nodes [4, 8]. Recent work has yielded approximate Byzantine consensus algorithms for the case when the input at each node is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-10 Lewis Tseng , Nitin Vaidya

Much of the past work on asynchronous approximate Byzantine consensus has assumed scalar inputs at the nodes [3, 7]. Recent work has yielded approximate Byzantine consensus algorithms for the case when the input at each node is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-04 Lewis Tseng , Nitin Vaidya

The development of fault-tolerant distributed systems that can tolerate Byzantine behavior has traditionally been focused on consensus protocols, which support fully-replicated designs. For the development of more sophisticated…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-06 Jelle Hellings , Mohammad Sadoghi

Recent advances in generative AI have enabled sophisticated multi-agent architectures for healthcare, where large language models power collaborative clinical decision-making. However, these distributed systems face critical challenges in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-23 Nihir Chadderwala

This paper proposes a new approach that enables multi-agent systems to achieve resilient \textit{constrained} consensus in the presence of Byzantine attacks, in contrast to existing literature that is only applicable to…

Systems and Control · Electrical Eng. & Systems 2023-12-19 Xuan Wang , Shaoshuai Mou , Shreyas Sundaram

Byzantine fault tolerant (BFT) protocol descriptions often assume application-layer networking primitives, such as best-effort and reliable broadcast, which are impossible to implement in practice in a Byzantine environment as they require…

Networking and Internet Architecture · Computer Science 2024-11-01 Manu Drijvers , Tim Gretler , Yotam Harchol , Tobias Klenze , Ognjen Maric , Stefan Neamtu , Yvonne-Anne Pignolet , Rostislav Rumenov , Daniel Sharifi , Victor Shoup

Byzantine agreement, arguably the most fundamental problem in distributed computing, operates among n processes, out of which t < n can exhibit arbitrary failures. The problem states that all correct (non-faulty) processes must eventually…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-16 Pierre Civit , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Anton Paramonov , Manuel Vidigueira

This paper considers a resilient high-dimensional constrained consensus problem and studies a resilient distributed algorithm for complete graphs. For convex constrained sets with a singleton intersection, a sufficient condition on…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Jingxuan Zhu , Yixuan Lin , Alvaro Velasquez , Ji Liu

Large scale cryptocurrencies require the participation of millions of participants and support economic activity of billions of dollars, which has led to new lines of work in binary Byzantine Agreement (BBA) and consensus. The new work aims…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-07 Thaddeus Dryja , Quanquan C. Liu , Neha Narula

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

In this paper, we study the discrete-time consensus problem over networks with antagonistic and cooperative interactions. Following the work by Altafini [IEEE Trans. Automatic Control, 58 (2013), pp. 935--946], by an antagonistic…

Optimization and Control · Mathematics 2016-04-21 Ziyang Meng , Guodong Shi , Karl H. Johansson , Ming Cao , Yiguang Hong

In this paper we present an open source, fully asynchronous, leaderless algorithm for reaching consensus in the presence of Byzantine faults in an asynchronous network. We prove the algorithm's correctness provided that less than a third of…

Cryptography and Security · Computer Science 2019-07-29 Pierre Chevalier , Bartlomiej Kaminski , Fraser Hutchison , Qi Ma , Spandan Sharma , Andreas Fackler , William J Buchanan

In distributed computing, a Byzantine fault is a condition where a component behaves inconsistently, showing different symptoms to different components of the system. Consensus among the correct components can be reached by appropriately…

Quantum Physics · Physics 2024-05-01 Zoltán Guba , István Finta , Ákos Budai , Lóránt Farkas , Zoltán Zimborás , András Pályi

We define and investigate the consensus problem for a set of $N$ processes embedded on the $d$-dimensional plane, $d\geq 2$, which we call the {\em geoconsensus} problem. The processes have unique coordinates and can communicate with each…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-07 Joseph Oglio , Kendric Hood , Gokarna Sharma , Mikhail Nesterenko

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

This work considers a point-to-point network of n nodes connected by directed links, and proves tight necessary and sufficient conditions on the underlying communication graphs for achieving consensus among these nodes under crash faults.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-05 Lewis Tseng , Nitin Vaidya

Augustine et al. [DISC 2022] initiated the study of distributed graph algorithms in the presence of Byzantine nodes in the congested clique model. In this model, there is a set $B$ of Byzantine nodes, where $|B|$ is less than a third of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-03 David Cifuentes-Núñez , Pedro Montealegre , Ivan Rapaport
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