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This paper explores the problem of reaching approximate consensus in synchronous point-to-point networks, where each directed link of the underlying communication graph represents a communication channel between a pair of nodes. We adopt…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-31 Lewis Tseng , Nitin Vaidya

In this paper we propose Aleph, a leaderless, fully asynchronous, Byzantine fault tolerant consensus protocol for ordering messages exchanged among processes. It is based on a distributed construction of a partially ordered set and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-30 Adam Gągol , Michał Świętek

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

Byzantine agreement (BA) enables all honest nodes in a decentralized network to reach consensus. In the era of emerging quantum technologies, classical cryptography-based BA protocols face inherent security vulnerabilities. By leveraging…

Quantum Physics · Physics 2025-02-11 Yao Zhou , Feng - Yu Lu , Zhen - Qiang Yin , Shuang Wang , Wei Chen , Guang - Can Guo , Zheng - Fu Han

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

In this work, we extend the topology-based approach for characterizing computability in asynchronous crash-failure distributed systems to asynchronous Byzantine systems. We give the first theorem with necessary and sufficient conditions to…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-11 Hammurabi Mendes , Christine Tasson , Maurice Herlihy

A seminal result by Lamport shows that at least $\max\{2e+f+1,2f+1\}$ processes are required to implement partially synchronous consensus that tolerates $f$ process failures and can furthermore decide in two message delays under $e$…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-19 Fedor Ryabinin , Alexey Gotsman , Pierre Sutra

Determining the space complexity of $x$-obstruction-free $k$-set agreement for $x\leq k$ is an open problem. In $x$-obstruction-free protocols, processes are required to return in executions where at most $x$ processes take steps. The best…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-11 Faith Ellen , Rati Gelashvili , Leqi Zhu

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

Given a set of robots with arbitrary initial location and no agreement on a global coordinate system, convergence requires that all robots asymptotically approach the exact same, but unknown beforehand, location. Robots are oblivious-- they…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-05-26 Zohir Bouzid , Maria Potop-Butucaru , Sébastien Tixeuil

Byzantine agreement is a fundamental problem in fault-tolerant distributed computing that has been studied intensively for the last four decades. Much of the research has focused on a static Byzantine adversary, where the adversary is…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-06 Fabien Dufoulon , Gopal Pandurangan

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

The ``Pulse Synchronization'' problem can be loosely described as targeting to invoke a recurring distributed event as simultaneously as possible at the different nodes and with a frequency that is as regular as possible. This target…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Ariel Daliot , Danny Dolev

The SWMR atomic register is a fundamental building block in shared memory distributed systems and implementing it from SWSR atomic registers is an important problem. While this problem has been solved in crash-prone systems, it has received…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-31 Ajay D. Kshemkalyani , Manaswini Piduguralla , Sathya Peri , Anshuman Misra

The flow of contracting systems contracts 1-dimensional parallelotopes, i.e., line segments, at an exponential rate. One reason for the usefulness of contracting systems is that many interconnections of contracting sub-systems yield an…

Dynamical Systems · Mathematics 2022-10-20 Ron Ofir , Michael Margaliot , Yoash Levron , Jean-Jacques Slotine

The resilient consensus problem is investigated in this paper for a class of networked Euler-Lagrange systems with event-triggered communication in the presence of Byzantine attacks. One challenge that we face in addressing the considered…

Optimization and Control · Mathematics 2025-07-22 Yuliang Fu , Guanghui Wen , Dan Zhao , Wei Xing Zheng , Xiaolei Li

We give fault-tolerant algorithms for establishing synchrony in distributed systems in which each of the $n$ nodes has its own clock. Our algorithms operate in a very strong fault model: we require self-stabilisation, i.e., the initial…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-12 Christoph Lenzen , Joel Rybicki

In this paper, we introduce a new quantum protocol for Detectable Byzantine Agreement. What distinguishes the proposed protocol among similar quantum protocols, is the fact that it uses only EPR pairs, and, in particular, $\Psi^{ + }$…

Quantum Physics · Physics 2025-03-14 Theodore Andronikos , Alla Sirokofskich

We propose the first deterministic algorithm that tolerates up to $f$ byzantine faults in $3f+1$-sized networks and performs in the asynchronous CORDA model. Our solution matches the previously established lower bound for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Zohir Bouzid , Maria Potop-Butucaru , Sébastien Tixeuil

For tolerating Byzantine faults of both the terminal and communication components in self-stabilizing clock synchronization, the two-dimensional self-stabilizing Byzantine-fault-tolerant clock synchronization problem is investigated and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-08 Shaolin Yu , Jihong Zhu , Jiali Yang
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