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Consensus is arguably the most studied problem in distributed computing as a whole, and particularly in the distributed message-passing setting. In this latter framework, research on consensus has considered various hypotheses regarding the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-28 Pierre Fraigniaud , Minh Hang Nguyen , Ami Paz

Agreement among a set of processes and in the presence of partial failures is one of the fundamental problems of distributed systems. In the most general case, many decisions must be agreed upon over the lifetime of a system with…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-01 Seif Haridi , Lars Kroll , Paris Carbone

We study two fundamental problems of distributed computing, consensus and approximate agreement, through a novel approach for proving lower bounds and impossibility results, that we call the asynchronous speedup theorem. For a given…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-21 Pierre Fraigniaud , Ami Paz , Sergio Rajsbaum

In this paper, we study distributed consensus in the radio network setting. We produce new upper and lower bounds for this problem in an abstract MAC layer model that captures the key guarantees provided by most wireless MAC layers. In more…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-07 Calvin Newport

In this paper, we investigate the approximate consensus problem in highly dynamic networks in which topology may change continually and unpredictably. We prove that in both synchronous and partially synchronous systems, approximate…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-11-13 Bernadette Charron-Bost , Matthias Függer , Thomas Nowak

We propose a new distributed-computing model, inspired by permissionless distributed systems such as Bitcoin and Ethereum, that allows studying permissionless consensus in a mathematically regular setting. Like in the sleepy model of Pass…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-10 Giuliano Losa , Eli Gafni

The problem of multivalued consensus is fundamental in the area of fault-tolerant distributed computing since it abstracts a very broad set of agreement problems in which processes have to uniformly decide on a specific value v in V, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-08 Oskar Lundström , Michel Raynal , Elad Michael Schiller

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

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 consensus problem, briefly stated, consists of having processes in an asynchronous distributed system agree on a value. It is widely known that the consensus problem does not have a deterministic solution that ensures both termination…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-15 Gabriel Rocha

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

Large language models (LLMs) achieve strong average performance yet remain unreliable at the instance level, with frequent hallucinations, brittle failures, and poorly calibrated confidence. We study reliability through the lens of…

Artificial Intelligence · Computer Science 2026-01-13 Pranav Kallem

This paper explores the problem of reaching approximate consensus in synchronous point-to-point networks, where each pair of nodes is able to communicate with each other directly and reliably. We consider the mobile Byzantine fault model…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-25 Lewis Tseng

This article studies the synchronization power of AllowList and DenyList objects under the lens provided by Herlihy's consensus hierarchy. It specifies AllowList and DenyList as distributed objects and shows that while they can both be seen…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-16 Davide Frey , Mathieu Gestin , Michel Raynal

Understanding what governs collective robustness and how it can be enhanced remains a central pursuit in network science. This paper investigates the robustness of multi-agent consensus networks, quantified by the $H_2$ performance metric,…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Jiamin Wang , Jian Liu , Feng Xiao , Haibin Duan , Yuanshi Zheng

The Fischer-Lynch-Paterson theorem (FLP) says that it is impossible for processes in an asynchronous distributed system to achieve consensus on a binary value when a single process can fail; it is a widely cited theoretical result about…

Logic in Computer Science · Computer Science 2011-09-16 Robert Constable

We consider a parallel computational model that consists of $P$ processors, each with a fast local ephemeral memory of limited size, and sharing a large persistent memory. The model allows for each processor to fault with bounded…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-15 Guy E. Blelloch , Phillip B. Gibbons , Yan Gu , Charles McGuffey , Julian Shun

We present an algorithm for synchronous deterministic Byzantine consensus, tolerant to links failures and links asynchrony. It cares for a class of networks with specific needs, where both safety and liveness are essential, and timely…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-24 Ivan Klianev

Building consensus sequences based on distributed, fault-tolerant consensus, as used for replicated state machines, typically requires a separate distributed state for every new consensus instance. Allocating and maintaining this state…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-02 Jan Skrzypczak , Florian Schintke , Thorsten Schütt

The distributed transaction commit problem requires reaching agreement on whether a transaction is committed or aborted. The classic Two-Phase Commit protocol blocks if the coordinator fails. Fault-tolerant consensus algorithms also reach…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Jim Gray , Leslie Lamport