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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

The celebrated result of Fischer, Lynch and Paterson is the fundamental lower bound for asynchronous fault tolerant computation: any 1-crash resilient asynchronous agreement protocol must have some (possibly measure zero) probability of not…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Ittai Abraham , Danny Dolev , Gilad Stern

Consensus, abstracting a myriad of problems in which processes have to agree on a single value, is one of the most celebrated problems of fault-tolerant distributed computing. Consensus applications include fundamental services for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-16 Romaric Duvignau , Michel Raynal , Elad Michael Schiller

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

Reaching agreement in the presence of arbitrary faults is a fundamental problem in distributed computation, which has been shown to be unsolvable if one-third of the processes can fail, unless signed messages are used. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-20 Vicent Cholvi

In the burgeoning domain of distributed quantum computing, achieving consensus amidst adversarial settings remains a pivotal challenge. We introduce an enhancement to the Quantum Byzantine Agreement (QBA) protocol, uniquely incorporating…

Quantum Physics · Physics 2023-11-07 Matthew Prest , Kuan-Cheng Chen

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

It is well known that a trusted setup allows one to solve the Byzantine agreement problem in the presence of $t<n/2$ corruptions, bypassing the setup-free $t<n/3$ barrier. Alas, the overwhelming majority of protocols in the literature have…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-17 Daniel Collins , Yuval Efron , Jovan Komatovic

We suggest that the Quantum Honest Byzantine Agreement (QHBA) protocol [1] essentially reduces consensus to coincidence. The volume of coincidence is the parameter that drives a receiver to echo its input. A lack of coincidence results in…

Quantum Physics · Physics 2024-12-19 Marcus Edwards

This paper introduces Hamster, a novel synchronous Byzantine Fault Tolerance protocol that achieves better performance and has weaker dependency on synchrony. Specifically, Hamster employs coding techniques to significantly decrease…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-01 Ximing Fu , Mo Li , Qingming Zeng , Tianyang Li , Shenghao Yang , Yonghui Guan , Chuanyi Liu

Robustness to Byzantine attacks is a necessity for various distributed training scenarios. When the training reduces to the process of solving a minimization problem, Byzantine robustness is relatively well-understood. However, other…

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

The ability to perform repeated Byzantine agreement lies at the heart of important applications such as blockchain price oracles or replicated state machines. Any such protocol requires the following properties: (1) \textit{Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-17 Shlomi Dolev , Amit Hendin , Maurice Herlihy , Maria Potop Butucaru , Elad Michael Schiller

We study the Byzantine lattice agreement (BLA) problem in asynchronous distributed message passing systems. In the BLA problem, each process proposes a value from a join semi-lattice and needs to output a value also in the lattice such that…

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

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

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

We provide the first protocol that solves Byzantine agreement with optimal early stopping ($\min\{f+2,t+1\}$ rounds) and optimal resilience ($n>3t$) using polynomial message size and computation. All previous approaches obtained sub-optimal…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-16 Ittai Abraham , Danny Dolev

Byzantine agreement enables n processes to agree on a common L-bit value, despite up to t > 0 arbitrary failures. A long line of work has been dedicated to improving the bit complexity of Byzantine agreement in synchrony. This has…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Pierre Civit , Muhammad Ayaz Dzulfikar , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Manuel Vidigueira , Igor Zablotchi

The problem of Byzantine consensus has been key to designing secure distributed systems. However, it is particularly difficult, mainly due to the presence of Byzantine processes that act arbitrarily and the unknown message delays in general…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-20 Alejandro Ranchal-Pedrosa , Vincent Gramoli

Motivated, in part, by the rise of permissionless systems such as Bitcoin where arbitrary nodes (whose identities are not known apriori) can join and leave at will, we extend established research in scalable Byzantine agreement to a more…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-26 John Augustine , Valerie King , Anisur R. Molla , Gopal Pandurangan , Jared Saia