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Low latency is one of the desired properties for partially synchronous Byzantine consensus protocols. Previous protocols have achieved consensus with just two communication steps either by reducing the bound on the number of faults the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-12 Mohammad M. Jalalzai , Chen Feng , Victoria Lemieux

In the Byzantine agreement problem, n nodes with possibly different input values aim to reach agreement on a common value in the presence of t < n/3 Byzantine nodes which represent arbitrary failures in the system. This paper introduces a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-08 Darya Melnyk , Yuyi Wang , Roger Wattenhofer

We explore asynchronous unison in the presence of systemic transient and permanent Byzantine faults in shared memory. We observe that the problem is not solvable under less than strongly fair scheduler or for system topologies with maximum…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-12-02 Swan Dubois , Maria Gradinariu Potop-Butucaru , Mikhail Nesterenko , Sébastien Tixeuil

Byzantine Fault Tolerant (BFT) consensus protocols for dynamically available systems face a critical challenge: balancing latency and security in fluctuating node participation. Existing solutions often require multiple rounds of voting per…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-04 Pengkun Ren , Hai Dong , Zahir Tari , Pengcheng Zhang

This paper studies distributed online learning under Byzantine attacks. The performance of an online learning algorithm is often characterized by (adversarial) regret, which evaluates the quality of one-step-ahead decision-making when an…

Machine Learning · Computer Science 2023-12-06 Xingrong Dong , Zhaoxian Wu , Qing Ling , Zhi Tian

We study Byzantine collaborative learning, where $n$ nodes seek to collectively learn from each others' local data. The data distribution may vary from one node to another. No node is trusted, and $f < n$ nodes can behave arbitrarily. We…

Algorithms to solve fault-tolerant consensus in asynchronous systems often rely on primitives such as crusader agreement, adopt-commit, and graded broadcast, which provide weaker agreement properties than consensus. Although these…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-10 Hagit Attiya , Jennifer L. Welch

We show how to compress communication in selection protocols, where the goal is to agree on a sequence of random bits using only a broadcast channel. More specifically, we present a generic method for converting any selection protocol, into…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-14 Yael Tauman Kalai , Ilan Komargodski

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

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

Byzantine Agreement introduced in [Pease, Shostak, Lamport, 80] is a widely used building block of reliable distributed protocols. It simulates broadcast despite the presence of faulty parties within the network, traditionally using only…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-03 Jeffrey Considine , Leonid A. Levin , David Metcalf

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

To circumvent the FLP impossibility result in a deterministic way several protocols have been proposed on top of an asynchronous distributed system enriched with additional assumptions. In the context of Byzantine failures for systems where…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-03 Hamouma Moumen

In this paper, we consider the Byzantine-robust stochastic optimization problem defined over decentralized static and time-varying networks, where the agents collaboratively minimize the summation of expectations of stochastic local cost…

Optimization and Control · Mathematics 2020-12-21 Jie Peng , Weiyu Li , Qing Ling

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

FaB Paxos[5] sets a lower bound of 5f + 1 replicas for any two-step consensus protocols tolerating f byzantine failures. Yet, hBFT[3] promises a two-step consensus protocol with only 3f + 1 replicas. As a result, it violates safety property…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-30 Nibesh Shrestha , Mohan Kumar , SiSi Duan

Recently, a novel peer sampling protocol, Elevator, was introduced to construct network topologies tailored for emerging decentralized applications such as federated learning and blockchain. Elevator builds hub-based topologies in a fully…

Cryptography and Security · Computer Science 2026-01-29 Mohamed Amine Legheraba , Nour Rachdi , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil

We consider the problem of fault-tolerant parallel search on an infinite line by $n$ robots. Starting from the origin, the robots are required to find a target at an unknown location. The robots can move with maximum speed $1$ and can…

Data Structures and Algorithms · Computer Science 2016-11-28 Jurek Czyzowicz , Konstantinos Georgiou , Evangelos Kranakis , Danny Krizanc , Lata Narayanan , Jaroslav Opatrny , Sunil Shende

A weakness of next-hop routing is that following a link or router failure there may be no routes between some source-destination pairs, or packets may get stuck in a routing loop as the protocol operates to establish new routes. In this…

Data Structures and Algorithms · Computer Science 2014-11-12 Glencora Borradaile , W. Sean Kennedy , Gordon Wilfong , Lisa Zhang

We present new protocols for Byzantine state machine replication and Byzantine agreement in the synchronous and authenticated setting. The celebrated PBFT state machine replication protocol tolerates $f$ Byzantine faults in an asynchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-14 Ittai Abraham , Srinivas Devadas , Danny Dolev , Kartik Nayak , Ling Ren
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