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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 introduce new techniques for proving lower bounds on the running time of randomized algorithms for asynchronous agreement against powerful adversaries. In particular, we define a \emph{strongly adaptive adversary} that is computationally…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-13 Allison Lewko , Mark Lewko

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

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

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

Since the mid-1980s it has been known that Byzantine Agreement can be solved with probability 1 asynchronously, even against an omniscient, computationally unbounded adversary that can adaptively \emph{corrupt} up to $f<n/3$ parties.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-01 Shang-En Huang , Seth Pettie , Leqi Zhu

In Byzantine agreement with predictions each process begins with an input value and some (unreliable) prediction bits. Recently, it has been shown that with \emph{classification predictions} -- where the predictions predict each process to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-14 Muhammad Ayaz Dzulfikar , Seth Gilbert

This paper presents a simple and efficient reliable broadcast algorithm for asynchronous message-passing systems made up of $n$ processes, among which up to $t<n/5$ may behave arbitrarily (Byzantine processes). This algorithm requires two…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-29 Damien Imbs , Michel Raynal

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

Efficient asynchronous Byzantine agreement (BA) protocols were mostly studied with private setups, e.g., pre-setup threshold cryptosystem. Challenges remain to reduce the large communication in the absence of such setups. Recently, Abraham…

Cryptography and Security · Computer Science 2022-04-28 Yingzi Gao , Yuan Lu , Zhenliang Lu , Qiang Tang , Jing Xu , Zhenfeng Zhang

We propose a novel relaxation of the classic asynchronous network model, called the random asynchronous model, which removes adversarial message scheduling while preserving unbounded message delays and Byzantine faults. Instead of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 George Danezis , Jovan Komatovic , Lefteris Kokoris-Kogias , Alberto Sonnino , Igor Zablotchi

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

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

We demonstrate a deterministic Byzantine consensus algorithm with synchronous operation in partial synchrony. It is naturally leaderless, tolerates any number of $ f<n/2 $ Byzantine processes with 2 rounds of exchange of originator-only…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-16 Ivan Klianev

In this paper, we study the problem of \emph{Byzantine Agreement with predictions}. Along with a proposal, each process is also given a prediction, i.e., extra information which is not guaranteed to be true. For example, one might imagine…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Naama Ben-David , Muhammad Ayaz Dzulfikar , Faith Ellen , Seth Gilbert

Byzantine agreement allows n processes to decide on a common value, in spite of arbitrary failures. The seminal Dolev-Reischuk bound states that any deterministic solution to Byzantine agreement exchanges Omega(n^2) bits. In synchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-25 Pierre Civit , Muhammad Ayaz Dzulfikar , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Manuel Vidigueira , Igor Zablotchi

Byzantine agreement protocols in asynchronous networks have gained renewed attention due to their independence from network timing assumptions to ensure termination. Traditional asynchronous Byzantine agreement protocols require every party…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-10 Nasit S Sony

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

It is well known that without randomization, Byzantine agreement (BA) requires a linear number of rounds in the synchronous setting, while it is flat out impossible in the asynchronous setting. The primitive which allows to bypass the above…

Cryptography and Security · Computer Science 2023-12-25 Ran Cohen , Pouyan Forghani , Juan Garay , Rutvik Patel , Vassilis Zikas

In this paper, we challenge the conventional approach of state machine replication systems to design deterministic agreement protocols in the eventually synchronous communication model. We first prove that no such protocol can guarantee…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-06 Alexander Spiegelman
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