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In this work, we extend the topology-based approach for characterizing computability in asynchronous crash-failure distributed systems to asynchronous Byzantine systems. We give the first theorem with necessary and sufficient conditions to…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-11 Hammurabi Mendes , Christine Tasson , Maurice Herlihy

Motivated by proof-of-stake (PoS) blockchains such as Ethereum, two key desiderata have recently been studied for Byzantine-fault tolerant (BFT) state-machine replication (SMR) consensus protocols: Finality means that the protocol retains…

Cryptography and Security · Computer Science 2024-01-22 Joachim Neu , Ertem Nusret Tas , David Tse

This report considers the problem of Byzantine fault-tolerance in synchronous parallelized learning that is founded on the parallelized stochastic gradient descent (parallelized-SGD) algorithm. The system comprises a master, and $n$…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-23 Nirupam Gupta , Nitin H. Vaidya

In this paper, we study the Byzantine lattice agreement problem in synchronous systems. The lattice agreement problem in crash failure model has been studied both in synchronous and asynchronous systems, which leads to the current best…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-18 Xiong Zheng , Vijay Garg

Replicated services are inherently vulnerable to failures and security breaches. In a long-running system, it is, therefore, indispensable to maintain a reconfiguration mechanism that would replace faulty replicas with correct ones. An…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-22 Petr Kuznetsov , Andrei Tonkikh

One of the most celebrated problems of fault-tolerant distributed computing is the consensus problem. It was shown to abstract a myriad of problems in which processes have to agree on a single value. Consensus applications include…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-13 Romaric Duvignau , Michel Raynal , Elad Michael Schiller

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

Existing Byzantine fault-tolerant (BFT) consensus protocols address only threshold failures, where the participating nodes fail independently of each other, each one fails equally likely, and the protocol's guarantees follow from a simple…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Orestis Alpos , Christian Cachin

We revisit the approach to Byzantine fault-tolerant clock synchronization based on approximate agreement introduced by Lynch and Welch. Our contribution is threefold: (1) We provide a slightly refined variant of the algorithm yielding…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-30 Pankaj Khanchandani , Christoph Lenzen

In this paper, we consider the problem of maximizing the throughput of Byzantine agreement, given that the sum capacity of all links in between nodes in the system is finite. We have proposed a highly efficient Byzantine agreement algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-06-15 Guanfeng Liang , Nitin Vaidya

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

This paper considers the problem of Byzantine fault tolerance in distributed linear regression in a multi-agent system. However, the proposed algorithms are given for a more general class of distributed optimization problems, of which…

Machine Learning · Computer Science 2019-04-05 Nirupam Gupta , Nitin H. Vaidya

This work describes two randomized, asynchronous, round based, Binary Byzantine faulty tolerant consensus algorithms based on the algorithms of [25] and [26]. Like the algorithms of [25] and [26] they do not use signatures, use $O(n^2)$…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-21 Tyler Crain

In this work, we propose Ocior, a practical asynchronous Byzantine fault-tolerant (BFT) consensus protocol that achieves the optimal performance in resilience, communication, computation, and round complexity. Unlike traditional BFT…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-11 Jinyuan Chen

Assuming an array that consists of two parallel lines of qubits and that permits only nearest neighbor interactions, we construct physical and logical circuitry to enable universal fault tolerant quantum computation under the [[7,1,3]]…

Quantum Physics · Physics 2008-05-09 A. M. Stephens , A. G. Fowler , L. C. L. Hollenberg

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

Synchronous Counting is the task of reaching agreement on a common round counter in a synchronous system of $n$ nodes with up to $t$ Byzantine faults in a self-stabilizing manner. That is, after transient faults may have arbitrarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Christoph Lenzen , Julian Loss

This paper considers the problem of Byzantine fault-tolerance in multi-agent decentralized optimization. In this problem, each agent has a local cost function. The goal of a decentralized optimization algorithm is to allow the agents to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-01 Nirupam Gupta , Thinh T. Doan , Nitin H. Vaidya

Abraham, Dolev, Geffner, and Halpern proved that, in asynchronous systems, a $(k,t)$-robust equilibrium for $n$ players and a trusted mediator can be implemented without the mediator as long as $n > 4(k+t)$, where an equilibrium is…

Computer Science and Game Theory · Computer Science 2021-04-08 Ivan Geffner , Joseph Y. Halpern

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
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