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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

In this paper we will present the Multidimensional Byzantine Agreement (MBA) Protocol, a leaderless Byzantine agreement protocol defined for complete and synchronous networks that allows a network of nodes to reach consensus on a vector of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-04 Andrea Flamini , Riccardo Longo , Alessio Meneghetti

Exact Byzantine consensus problem requires that non-faulty processes reach agreement on a decision (or output) that is in the convex hull of the inputs at the non-faulty processes. It is well-known that exact consensus is impossible in an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-01 Zhuolun Xiang , Nitin H. Vaidya

Consider an asynchronous system with private channels and $n$ processes, up to $t$ of which may be faulty. We settle a longstanding open question by providing a Byzantine agreement protocol that simultaneously achieves three properties: 1.…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-08-12 Ittai Abraham , Danny Dolev , Joseph Y. Halpern

We provide a new protocol for Validated Asynchronous Byzantine Agreement. Validated (multi-valued) Asynchronous Byzantine Agreement is a key building block in constructing Atomic Broadcast and fault-tolerant state machine replication in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-06 Ittai Abraham , Dahlia Malkhi , Alexander Spiegelman

We present a Byzantine agreement protocol to address the inefficiencies inherent in multi-valued Byzantine agreement protocols, i.e., a version of the Byzantine agreement protocol where every party broadcasts its request, and at the end of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-03 Nasit S Sony

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

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

We study the problems of asymptotic and approximate consensus in which agents have to get their values arbitrarily close to each others' inside the convex hull of initial values, either without or with an explicit decision by the agents. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Matthias Függer , Thomas Nowak

Byzantine agreement is a fundamental problem in fault-tolerant distributed computing that has been studied intensively for the last four decades. Much of the research has focused on a static Byzantine adversary, where the adversary is…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-06 Fabien Dufoulon , Gopal Pandurangan

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

In this paper, we present distributed fault-tolerant algorithms that approximate the centroid (i.e., the average) of a set of $n$ data points in $\mathbb{R}^d$. Our work falls into the broader area of multidimensional Byzantine approximate…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-10 Melanie Cambus , Darya Melnyk

In the wake of the decisive impossibility result of Fischer, Lynch, and Paterson for deterministic consensus protocols in the aynchronous model with just one failure, Ben-Or and Bracha demonstrated that the problem could be solved with…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-08 Allison Lewko

Achieving agreement among distributed parties is a fundamental task in modern systems, underpinning applications such as consensus in blockchains, coordination in cloud infrastructure, and fault tolerance in critical services. However, this…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-18 Andrei Constantinescu , Marc Dufay , Anton Paramonov , Roger Wattenhofer

In this work, we study the approximate consensus problem in asynchronous message-passing networks where some nodes may become Byzantine faulty. We answer an open problem raised by Tseng and Vaidya, 2012, proposing the first algorithm of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-21 Dimitris Sakavalas , Lewis Tseng , Nitin H. Vaidya

In this paper we address Approximate Agreement problem in the Mobile Byzantine faults model. Our contribution is threefold. First, we propose the the first mapping from the existing variants of Mobile Byzantine models to the Mixed-Mode…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-14 Silvia Bonomi , Antonella Del Pozzo , Maria Potop-Butucaru , Sébastien Tixeuil

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

It has been known since the early 1980s that Byzantine Agreement in the full information, asynchronous model is impossible to solve deterministically against even one crash fault [FLP85], but that it can be solved with probability 1…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-01 Shang-En Huang , Seth Pettie , Leqi Zhu

Given a system with $n > 3t + 1$ processes, where $t$ is the tolerated number of faulty ones, we present a fast asynchronous Byzantine agreement protocol that can reach agreement in $O(t)$ expected running time. This improves the $O(n^2)$…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-30 Cheng Wang

This paper studies the Byzantine Agreement problem where the nodes have access to a predictor that flags nodes for suspicion of faulty (Byzantine) behavior. We focus on algorithmic resilience -- the maximum number of faulty nodes an…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-20 Julien Dallot , Darya Melnyk , Tijana Milentijevic , Stefan Schmid , Patrik Welters
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