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Related papers: A Generalised Solution to Distributed Consensus

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The Paxos distributed consensus algorithm is a challenging case-study for standard, vector-based model checking techniques. Due to asynchronous communication, exhaustive analysis may generate very large state spaces already for small model…

Logic in Computer Science · Computer Science 2014-07-31 Giorgio Delzanno , Arend Rensink , Riccardo Traverso

Decentralized optimization is well studied for smooth unconstrained problems. However, constrained problems or problems with composite terms are an open direction for research. We study structured (or composite) optimization problems, where…

Optimization and Control · Mathematics 2023-04-10 Alexander Rogozin , Anton Novitskii , Alexander Gasnikov

This paper describes an implementation of the well-known consensus protocol, Paxos, in the P4 programming language. P4 is a language for programming the behavior of network forwarding devices (i.e., the network data plane). Moving consensus…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-17 Huynh Tu Dang , Marco Canini , Fernando Pedone , Robert Soulé

Gossip algorithms are widely used to solve the distributed consensus problem, but issues can arise when nodes receive multiple signals either at the same time or before they are able to finish processing their current work load.…

Systems and Control · Computer Science 2013-01-15 Christopher D. Hollander , Annie S. Wu

Blockchain is a type of decentralized distributed network which acts as an immutable digital ledger. Despite the absence of any central governing authority to validate the blocks in the ledger, it is considered secure and immutable due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-07 Shashank Joshi

In this paper, we propose a distributed Newton method for consensus optimization. Our approach outperforms state-of-the-art methods, including ADMM. The key idea is to exploit the sparsity of the dual Hessian and recast the computation of…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-22 Rasul Tutunov , Haitham Bou Ammar , Ali Jadbabaie

Consensus is one of the most fundamental problems in distributed computing. This paper studies the consensus problem in a synchronous dynamic directed network, in which communication is controlled by an oblivious message adversary. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-06 Hugo Rincon Galeana , Ulrich Schmid , Kyrill Winkler , Ami Paz , Stefan Schmid

Consensus is one of the most fundamental distributed computing problems. In particular, it serves as a building block in many replication based fault-tolerant systems and in particular in multiple recent blockchain solutions. Depending on…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-08 Yehonatan Buchnik , Roy Friedman

Distributed algorithms for solving additive or consensus optimization problems commonly rely on first-order or proximal splitting methods. These algorithms generally come with restrictive assumptions and at best enjoy a linear convergence…

Optimization and Control · Mathematics 2017-05-11 Sina Khoshfetrat Pakazad , Christian A. Naesseth , Fredrik Lindsten , Anders Hansson

The concept of distributed consensus originated in the 1970s and gained widespread attention following Leslie Lamport's influential publication on the Byzantine Generals Problem in the 1980s. Over the past five decades, distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-13 Huanyu Wu , Chentao Yue , Yixuan Fan , Yonghui Li , Lei Zhang

Distributed abstract programs are a novel class of distributed optimization problems where (i) the number of variables is much smaller than the number of constraints and (ii) each constraint is associated to a network node. Abstract…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-02 Giuseppe Notarstefano , Francesco Bullo

We consider the problem of solving consensus using deterministic algorithms in a synchronous dynamic network with unreliable, directional point-to-point links, which are under the control of a message adversary. In contrast to a large body…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-10 Kyrill Winkler , Manfred Schwarz , Ulrich Schmid

We present Coalition Logic, a three-valued modal fixed-point logic designed for declaratively specifying and reasoning about distributed algorithms, such as the Paxos consensus algorithm. Our methodology represents a distributed algorithm…

Logic in Computer Science · Computer Science 2025-02-04 Murdoch J. Gabbay , Luca Zanolini

We consider the average-consensus problem in a multi-node network of finite size. Communication between nodes is modeled by a sequence of directed signals with arbitrary communication delays. Four distributed algorithms that achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-23 Kevin Topley , Vikram Krishnamurthy

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

This paper presents the formulation of fault detection and accommodation schemes for a network of autonomous agents running internal model-based dynamic average consensus algorithms. We focus on two types of consensus algorithms, one that…

Optimization and Control · Mathematics 2018-03-09 Jemin George , Matthew L. Elwin , Randy A. Freeman , Kevin M. Lynch

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

Consensus optimization has received considerable attention in recent years. A number of decentralized algorithms have been proposed for {convex} consensus optimization. However, to the behaviors or consensus \emph{nonconvex} optimization,…

Optimization and Control · Mathematics 2018-01-29 Jinshan Zeng , Wotao Yin

In recent decades, the RAFT distributed consensus algorithm has become a main pillar of the distributed systems ecosystem, ensuring data consistency and fault tolerance across multiple nodes. Although the fact that RAFT is well known for…

Cryptography and Security · Computer Science 2026-01-05 Tamer Afifi , Abdelfatah Hegazy , Ehab Abousaif

The design of sensor networks capable of reaching a consensus on a globally optimal decision test, without the need for a fusion center, is a problem that has received considerable attention in the last years. Many consensus algorithms have…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-13 Gesualdo Scutari , Sergio Barbarossa