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We consider the parameterized verification problem for distributed algorithms where the goal is to develop techniques to prove the correctness of a given algorithm regardless of the number of participating processes. Motivated by an…

Formal Languages and Automata Theory · Computer Science 2022-04-26 Nathalie Bertrand , Nicolas Markey , Ocan Sankur , Nicolas Waldburger

It has been proved that to implement a linearizable shared memory in synchronous message-passing systems it is necessary to wait for a time proportional to the uncertainty in the latency of the network for both read and write operations,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-01 Matthieu Perrin , Matoula Petrolia , Achour Mostefaoui , Claude Jard

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

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

We study the convergence speed of distributed iterative algorithms for the consensus and averaging problems, with emphasis on the latter. We first consider the case of a fixed communication topology. We show that a simple adaptation of a…

Optimization and Control · Mathematics 2011-06-13 Alex Olshevsky , John N. Tsitsiklis

We propose a novel relaxation of the classic asynchronous network model, called the random asynchronous model, which removes adversarial message scheduling while preserving unbounded message delays and Byzantine faults. Instead of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 George Danezis , Jovan Komatovic , Lefteris Kokoris-Kogias , Alberto Sonnino , Igor Zablotchi

The optimal space complexity of consensus in shared memory is a decades-old open problem. For a system of $n$ processes, no algorithm is known that uses a sublinear number of registers. However, the best known lower bound due to Fich,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-18 Rati Gelashvili

In the fully-anonymous (shared-memory) model, inspired by a biological setting, processors have no identifiers and memory locations are anonymous. This means that there is no pre-existing agreement among processors on any naming of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-08 Giuliano Losa , Eli Gafni

We introduce the problem of asymptotic subspace consensus, which requires the outputs of processes to converge onto a common subspace while remaining inside the convex hull of initial vectors.This is a relaxation of asymptotic consensus in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-24 Matthias Függer , Thomas Nowak

Guerraoui proposed an indulgent solution for the binary consensus problem. Namely, he showed that an arbitrary behavior of the failure detector never violates safety requirements even if it compromises liveness. Consensus implementations…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-13 Oskar Lundström , Michel Raynal , Elad Michael Schiller

The theory of evidence reasoning has been applied to collective decision-making in recent years. However, existing distributed evidence fusion methods lead to participants' preference leakage and fusion failures as they directly exchange…

Artificial Intelligence · Computer Science 2024-12-04 Chaoxiong Ma , Yan Liang , Xinyu Yang , Han Wu , Huixia Zhang

Calibrating blackbox machine learning models to achieve risk control is crucial to ensure reliable decision-making. A rich line of literature has been studying how to calibrate a model so that its predictions satisfy explicit finite-sample…

Machine Learning · Statistics 2025-06-02 Victor Li , Baiting Chen , Yuzhen Mao , Qi Lei , Zhun Deng

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

We extend the results of Part I by considering a new class of agreement tasks, the so-called k-Threshold Agreement tasks (previously introduced by Charron-Bost and Le Fessant). These tasks naturally interpolate between Atomic Commitment and…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Bernadette Charron-Bost

Distributed consensus, the ability to reach agreement in the face of failures, is a fundamental primitive for constructing reliable distributed systems. The Paxos algorithm is synonymous with consensus and widely utilized in production.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-08 Heidi Howard , Richard Mortier

Laboratory investigations have shown that a formal theory of fault-tolerance will be essential to harness nanoscale self-assembly as a medium of computation. Several researchers have voiced an intuition that self-assembly phenomena are…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-20 Aaron Sterling

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

In solving today's social issues, it is necessary to determine solutions that are acceptable to all stakeholders and collaborate to apply them. The conventional technology of "permissive meeting analysis" derives a consensusable choice that…

Computer Science and Game Theory · Computer Science 2022-11-17 Yasuhiro Asa , Takeshi Kato , Ryuji Mine

In an anonymous shared memory system, all inter-process communications are via shared objects; however, unlike in standard systems, there is no a priori agreement between processes on the names of shared objects [14,15]. Furthermore, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-21 Gadi Taubenfeld

An affine model of computation is defined as a subset of iterated immediate-snapshot runs, capturing a wide variety of shared-memory systems, such as wait-freedom, t-resilience, k-concurrency, and fair shared-memory adversaries. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-06 Petr Kuznetsov , Thibault Rieutord