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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

Approximate Agreement ($\mathcal{AA}$) is a fundamental primitive that, even in the presence of Byzantine faults, allows honest parties to obtain close (but not necessarily identical) outputs that lie within the range of their inputs. While…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-07 Marc Fuchs , Diana Ghinea , Zahra Parsaeian , Joel Rybicki

Byzantine reliable broadcast is a fundamental problem in distributed computing, which has been studied extensively over the past decades. State-of-the-art algorithms are predominantly based on the approach to share encoded fragments of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-06 Thomas Locher

In this paper, we propose a first-order distributed optimization algorithm that is provably robust to Byzantine failures-arbitrary and potentially adversarial behavior, where all the participating agents are prone to failure. We model each…

Optimization and Control · Mathematics 2022-07-27 Berkay Turan , Cesar A. Uribe , Hoi-To Wai , Mahnoosh Alizadeh

In a distributed coin-flipping protocol, Blum [ACM Transactions on Computer Systems '83], the parties try to output a common (close to) uniform bit, even when some adversarially chosen parties try to bias the common output. In an adaptively…

Cryptography and Security · Computer Science 2024-10-29 Iftach Haitner , Yonatan Karidi-Heller

Bayesian Optimization is critically vulnerable to extreme outliers. Existing provably robust methods typically assume a bounded cumulative corruption budget, which makes them defenseless against even a single corruption of sufficient…

Machine Learning · Statistics 2026-02-17 Abdelhamid Ezzerg , Ilija Bogunovic , Jeremias Knoblauch

This paper presents a novel leaderless protocol (FPC-BI: Fast Probabilistic Consensus within Byzantine Infrastructures) with a low communicational complexity and which allows a set of nodes to come to a consensus on a value of a single bit.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-15 Serguei Popov , William J Buchanan

In this article, we investigate the solvability of $k$-set agreement among $n$ processes in distributed systems prone to different types of process failures. Specifically, we explore two scenarios: synchronous message-passing systems prone…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-21 Delporte-Gallet Carole , Fauconnier Hugues , Safir Mouna

This paper describes a simple and efficient asynchronous Binary Byzantine faulty tolerant consensus algorithm. In the algorithm, non-faulty nodes perform an initial broadcast followed by a executing a series of rounds each consisting of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-12 Tyler Crain

Sybil attacks, in which a large number of adversary-controlled nodes join a network, are a concern for many peer-to-peer database systems, necessitating expensive countermeasures such as proof-of-work. However, there is a category of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-02 Martin Kleppmann , Heidi Howard

King and Saia were the first to break the quadratic word complexity bound for Byzantine Agreement in synchronous systems against an adaptive adversary, and Algorand broke this bound with near-optimal resilience (first in the synchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Shir Cohen , Idit Keidar , Alexander Spiegelman

This paper investigates the problem \textit{good-case latency} of Byzantine agreement, broadcast and state machine replication in the synchronous authenticated setting. The good-case latency measure captures the time it takes to reach…

Cryptography and Security · Computer Science 2020-12-22 Ittai Abraham , Kartik Nayak , Ling Ren , Zhuolun Xiang

It is impossible to solve the Byzantine consensus problem in an open network of $n$ participants if only $2n/3$ or less of them are correct. As blockchains need to solve consensus, one might think that blockchains need more than $2n/3$…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-08 Alejandro Ranchal-Pedrosa , Vincent Gramoli

In decentralized cooperative multi-armed bandits (MAB), each agent observes a distinct stream of rewards, and seeks to exchange information with others to select a sequence of arms so as to minimize its regret. Agents in the cooperative…

Machine Learning · Computer Science 2025-06-12 Jingxuan Zhu , Alec Koppel , Alvaro Velasquez , Ji Liu

The Byzantine consensus problem involves $n$ processes, out of which t < n could be faulty and behave arbitrarily. Three properties characterize consensus: (1) termination, requiring correct (non-faulty) processes to eventually reach a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-27 Pierre Civit , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Manuel Vidigueira

Byzantine agreement algorithms typically assume implicit initial state consistency and synchronization among the correct nodes and then operate in coordinated rounds of information exchange to reach agreement based on the input values. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-08-04 Ariel Daliot , Danny Dolev

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

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

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

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