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This paper introduces a new communication abstraction, called Set-Constrained Delivery Broadcast (SCD-broadcast), whose aim is to provide its users with an appropriate abstraction level when they have to implement objects or distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-19 Damien Imbs , Achour Mostefaoui , Matthieu Perrin , Michel Raynal

The problem of total-order (uniform reliable) broadcast is fundamental in fault-tolerant distributed computing since it abstracts a broad set of problems requiring processes to uniformly deliver messages in the same order in which they were…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-30 Oskar Lundström , Michel Raynal , Elad Michael Schiller

We compare the solvability of the Consensus and Broadcast problems in synchronous communication networks in which the delivery of messages is not reliable. The failure model is the mobile omission faults model. During each round, some…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Emmanuel Godard , Joseph Peters

" Yet another paper on " the implementation of read/write registers in crash-prone asynchronous message-passing systems! Yes..., but, differently from its predecessors, this paper looks for a communication abstraction which captures the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-28 Damien Imbs , Achour Mostefaoui , Matthieu Perrin , Michel Raynal

As shown by Reliable Broadcast and Consensus, cooperation among a set of independent computing entities (sequential processes) is a central issue in distributed computing. Considering $n$-process asynchronous message-passing systems where…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-15 Timothé Albouy , Davide Frey , Mathieu Gestin , Michel Raynal , François Taïani

Round-based models are very common message-passing models; combinatorial topology applied to distributed computing provides sweeping results like general lower bounds. We combine both to study the computability of k-set agreement. Among all…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-15 Adam Shimi , Armando Castañeda

The $k$-set agreement problem is a generalization of the consensus problem. Namely, assuming each process proposes a value, each non-faulty process has to decide a value such that each decided value was proposed, and no more than $k$…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-03 Zohir Bouzid , Michel Raynal , Pierre Sutra

In this paper we consider the k-set agreement problem in distributed message-passing systems using a round-based approach: Both synchrony of communication and failures are captured just by means of the messages that arrive within a round,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Martin Biely , Peter Robinson , Ulrich Schmid

Given a positive integer $k$, $k$-set agreement is the distributed task in which each process $i\in [n]$ in a group of $n$ processing nodes starts with an input value $x_i$ in the set $\{0,\dots,k\}$, and must output a value $y_i$ such that…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-14 Pierre Fraigniaud , Minh Hang Nguyen , Ami Paz

An immediate snapshot object is a high level communication object, built on top of a read/write distributed system in which all except one processes may crash. It allows a process to write a value and obtain a set of values that represent a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-02 Carole Delporte , Hugues Fauconnier , Sergio Rajsbaum , Michel Raynal

In this article, we investigate the solvability of $k$-set agreement among $n$ processes in distributed systems prone to different types of process failures. Specifically, we explore two scenarios: synchronous message-passing systems prone…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-21 Delporte-Gallet Carole , Fauconnier Hugues , Safir Mouna

Broadcast and consensus are most fundamental tasks in distributed computing. These tasks are particularly challenging in dynamic networks where communication across the network links may be unreliable, e.g., due to mobility or failures.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Antoine El-Hayek , Monika Henzinger , Stefan Schmid

Whereas distributed computing research has been very successful in exploring the solvability/impossibility border of distributed computing problems like consensus in representative classes of computing models with respect to model…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-27 Hugo Rincon Galeana , Ulrich Schmid

A communication setup is considered where a transmitter wishes to convey a message to a receiver and simultaneously estimates the state of that receiver through a common waveform. The state is estimated at the transmitter by means of…

Information Theory · Computer Science 2022-06-03 Mehrasa Ahmadipour , Mari Kobayashi , Miche`le Wigger , Giuseppe Caire

This report contains revision and extension of some results about RBO [arXiv:1108.5095]. RBO is a simple and efficient broadcast scheduling of $n = 2^k$ uniform frames for battery powered radio receivers. Each frame contains a key from some…

Data Structures and Algorithms · Computer Science 2012-01-17 Marcin Kik

We study a well-known communication abstraction called Uniform Reliable Broadcast (URB). URB is central in the design and implementation of fault-tolerant distributed systems, as many non-trivial fault-tolerant distributed applications…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-13 Oskar Lundström , Michel Raynal , Elad M. Schiller

A communicating system is $k$-synchronizable if all of the message sequence charts representing the executions can be divided into slices of $k$ sends followed by $k$ receptions. It was previously shown that, for a fixed given $k$, one…

Formal Languages and Automata Theory · Computer Science 2021-04-30 Cinzia Di Giusto , Laetitia Laversa , Etienne Lozes

Given a network of agents, we study the problem of designing a distributed algorithm that computes k independent weighted means of the network's initial conditions (namely, the agents agree on a k-dimensional space). Akin to average…

Optimization and Control · Mathematics 2024-10-23 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

This paper studies the power of the "abstract MAC layer" model in a single-hop asynchronous network. The model captures primitive properties of modern wireless MAC protocols. In this model, Newport [PODC '14] proves that it is impossible to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Qinzi Zhang , Lewis Tseng

This paper focuses on the convergence of infor- mation in distributed systems of agents communicating over a network. The information on which the convergence is sought is not represented by real numbers, rather by sets of real numbers,…

Robotics · Computer Science 2011-01-13 Adriano Fagiolini , Nevio Dubbini , Antonio Bicchi
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