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The strong Byzantine agreement (SBA) problem is defined among n processes, out of which t < n can be faulty and behave arbitrarily. SBA allows correct (non-faulty) processes to agree on a common value. Moreover, if all correct processes…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-08 Pierre Civit , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Manuel Vidigueira

We exhibit that, when given a classical Byzantine agreement protocol designed in the private-channel model, it is feasible to construct a quantum agreement protocol that can effectively handle a full-information adversary. Notably, both…

Quantum Physics · Physics 2024-09-04 Longcheng Li , Xiaoming Sun , Jiadong Zhu

Canonical asynchronous rounds are a widely used abstraction for structuring distributed algorithms, making asynchronous executions appear synchronous and enabling modular reasoning. We show that this abstraction is fundamentally…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Hagit Attiya , Itay Flam , Jennifer L. Welch

Consider a network of n processes each of which has a d-dimensional vector of reals as its input. Each process can communicate directly with all the processes in the system; thus the communication network is a complete graph. All the…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-12 Nitin H. Vaidya , Vijay K. Garg

Traditional techniques for handling Byzantine failures are expensive: digital signatures are too costly, while using $3f{+}1$ replicas is uneconomical ($f$ denotes the maximum number of Byzantine processes). We seek algorithms that reduce…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-04 M. K. Aguilera , N. Ben-David , R. Guerraoui , D. Papuc , A. Xygkis , I. Zablotchi

Renaming is a fundamental problem in distributed computing, which consists of a set of processes picking distinct names from a given namespace. The paper presents algorithms that solve order-preserving renaming in synchronous message…

Data Structures and Algorithms · Computer Science 2013-03-05 Oksana Denysyuk , Luis Rodrigues

The problem of distributed optimization requires a group of agents to reach agreement on a parameter that minimizes the average of their local cost functions using information received from their neighbors. While there are a variety of…

Optimization and Control · Mathematics 2024-03-05 Kananart Kuwaranancharoen , Lei Xin , Shreyas Sundaram

Randomized algorithm that achieves multi-valued Byzantine agreement with high probability, and achieves optimal complexity.

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-29 Guanfeng Liang , Nitin Vaidya

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 2023-05-05 Alejandro Ranchal-Pedrosa , Vincent Gramoli

This paper introduces a new family of consensus protocols, namely \emph{Lachesis-class} denoted by $\mathcal{L}$, for distributed networks with guaranteed Byzantine fault tolerance. Each Lachesis protocol $L$ in $\mathcal{L}$ has complete…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-05 Sang-Min Choi , Jiho Park , Quan Nguyen , Andre Cronje , Kiyoung Jang , Hyunjoon Cheon , Yo-Sub Han , Byung-Ik Ahn

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

We consider the following problem: two nodes want to reliably communicate in a dynamic multihop network where some nodes have been compromised, and may have a totally arbitrary and unpredictable behavior. These nodes are called Byzantine.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-17 Alexandre Maurer , Sébastien Tixeuil , Xavier Défago

We consider the problem of approximate consensus in mobile networks containing Byzantine nodes. We assume that each correct node can communicate only with its neighbors and has no knowledge of the global topology. As all nodes have moving…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-04 Chuanyou Li , Michel Hurfin , Yun Wang

Modular methods to transform Byzantine consensus protocols into ones that are fast and communication efficient in the common cases are presented. Small and short protocol segments called layers are custom designed to optimize performance in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-16 Guy Goren , Yoram Moses

Lower bounds and impossibility results in distributed computing are both intellectually challenging and practically important. Hundreds if not thousands of proofs appear in the literature, but surprisingly, the vast majority of them apply…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-13 Guy Goren , Yoram Moses , Alexander Spiegelman

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 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

We address the problem of reaching consensus in the presence of Byzantine faults. In particular, we are interested in investigating the impact of messages relay on the network connectivity for a correct iterative approximate Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-17 Lili Su , Nitin Vaidya

Approximate byzantine consensus is a fundamental problem of distributed computing. This paper presents a novel algorithm for approximate byzantine consensus, called Relay-ABC. The algorithm allows machines to achieve approximate consensus…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-29 Matthew Ding

Multi-valued validated Byzantine agreement (MVBA), a fundamental primitive of distributed computing, allows $n$ processes to agree on a valid $\ell$-bit value, despite $t$ faulty processes behaving maliciously. Among hash-based solutions…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-15 Jovan Komatovic , Joachim Neu , Tim Roughgarden
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