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In this report, we investigate the multi-valued Byzantine consensus problem. We introduce two algorithms: the first one achieves traditional validity requirement for consensus, and the second one achieves a stronger "q-validity"…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-10 Guanfeng Liang , Nitin Vaidya

Consider an asynchronous system where each node begins with some point in $\mathbb{R}^m$. Given some fixed $\epsilon > 0$, we wish to have every nonfaulty node eventually output a point in $\mathbb{R}^m$, where all outputs are within…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-07 Maya Dotan , Gilad Stern , Aviv Zohar

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

Iterative Approximate Byzantine Consensus (IABC) is a fundamental problem of fault-tolerant distributed computing where machines seek to achieve approximate consensus to arbitrary exactness in the presence of Byzantine failures. We present…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-06 Matthew Ding

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 analyze from the game theory point of view Byzantine Fault Tolerant blockchains when processes exhibit rational or Byzantine behavior. Our work is the first to model the Byzantine-consensus based blockchains as a committee…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-22 Yackolley Amoussou-Guenou , Bruno Biais , Maria Potop-Butucaru , Sara Tucci-Piergiovanni

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

We present an algorithm for synchronous deterministic Byzantine consensus, tolerant to links failures and links asynchrony. It cares for a class of networks with specific needs, where both safety and liveness are essential, and timely…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-24 Ivan Klianev

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 this report, building on the deterministic multi-valued one-to-many Byzantine agreement (broadcast) algorithm in our recent technical report [2], we introduce a deterministic multi-valued all-to-all Byzantine agreement algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-08-27 Guanfeng Liang , Nitin Vaidya

We consider the problem of reaching consensus in communication networks that are modeled by directed graphs. We assume the existence of a message authentication mechanism (such as digital signatures) to verify the integrity of messages. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-13 Nitin H. Vaidya , Lewis Tseng

This paper introduces a deterministic Byzantine consensus algorithm that relies on a new weak coordinator. As opposed to previous algorithms that cannot terminate in the presence of a faulty or slow coordinator, our algorithm can terminate…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Tyler Crain , Vincent Gramoli , Mikel Larrea , Michel Raynal

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

In this paper, we present an efficient deterministic algorithm for consensus in presence of Byzantine failures. Our algorithm achieves consensus on an $L$-bit value with communication complexity $O(nL + n^4 L^{0.5} + n^6)$ bits, in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-01-19 Guanfeng Liang , Nitin Vaidya

Consensus is one of the most fundamental distributed computing problems. In particular, it serves as a building block in many replication based fault-tolerant systems and in particular in multiple recent blockchain solutions. Depending on…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-08 Yehonatan Buchnik , Roy Friedman

Blockchain technology offers a decentralized and secure method for storing and authenticating data, rendering it well-suited for various applications such as digital currencies, supply chain management, and voting systems. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-25 Mohammad R. Shakournia , Pooya Jamshidi , Hamid Reza Faragardi , Nasser Yazdani

This paper considers the problem of achieving exact Byzantine consensus in a synchronous system under a local-broadcast communication model. The nodes communicate with each other via message-passing. The communication network is modeled as…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-22 Syed Shalan Naqvi , Muhammad Samir Khan , Nitin H. Vaidya

Byzantine fault tolerance (BFT) has been extensively studied in distributed trustless systems to guarantee system's functioning when up to 1/3 Byzantine processes exist. Despite a plethora of previous work in BFT systems, they are mainly…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-11 Quan Nguyen , Andre Cronje

It is a common belief that Byzantine fault-tolerant solutions for consensus are significantly slower than their crash fault-tolerant counterparts. Indeed, in PBFT, the most widely known Byzantine fault-tolerant consensus protocol, it takes…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-28 Petr Kuznetsov , Andrei Tonkikh , Yan X Zhang

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