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Related papers: Space-Optimal Majority in Population Protocols

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Population protocols are a formal model of sensor networks consisting of identical mobile devices. Two devices can interact and thereby change their states. Computations are infinite sequences of interactions in which the interacting…

Logic in Computer Science · Computer Science 2018-07-03 Michael Blondin , Javier Esparza , Antonín Kučera

The population protocol model describes collections of distributed agents that interact in pairs to solve a common task. We consider a dynamic variant of this prominent model, where we assume that an adversary may change the population size…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-09 Dominik Kaaser , Maximilian Lohmann

Population protocols are a model of distributed computation intended for the study of networks of independent computing agents with dynamic communication structure. Each agent has a finite number of states, and communication opportunities…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-02 Michael Raskin

Population protocols form a well-established model of computation of passively mobile anonymous agents with constant-size memory. It is well known that population protocols compute Presburger-definable predicates, such as absolute majority…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-06 Michael Blondin , François Ladouceur

The population protocol model describes a network of anonymous agents that interact asynchronously in pairs chosen at random. Each agent starts in the same initial state $s$. We introduce the *dynamic size counting* problem: approximately…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-28 David Doty , Mahsa Eftekhari

Let $G$ be a graph on $n$ nodes. In the stochastic population protocol model, a collection of $n$ indistinguishable, resource-limited nodes collectively solve tasks via pairwise interactions. In each interaction, two randomly chosen…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-13 Dan Alistarh , Rati Gelashvili , Joel Rybicki

This paper shows that every leader election protocol requires logarithmic stabilization time both in expectation and with high probability in the population protocol model. This lower bound holds even if each agent has knowledge of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-05 Yuichi Sudo , Toshimitsu Masuzawa

In this paper, the leader election problem in the population protocol model is considered. A leader election protocol with logarithmic stabilization time is given. Given a rough knowledge m of the population size n such that m >= \log_2 n…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-01 Yuichi Sudo , Fukuhito Ooshita , Taisuke Izumi , Hirotsugu Kakugawa , Toshimitsu Masuzawa

This paper revisits a fundamental distributed computing problem in the population protocol model. Provided $n$ agents each starting with an input color in $[k]$, the relative majority problem asks to find the predominant color. In the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Tom-Lukas Breitkopf , Julien Dallot , Antoine El-Hayek , Stefan Schmid

Population protocols have been introduced as a model of sensor networks consisting of very limited mobile agents with no control over their own movement. A population protocol corresponds to a collection of anonymous agents, modeled by…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-07-20 Olivier Bournez , Philippe Chassaing , Johanne Cohen , Lucas Gerin , Xavier Koegler

Population protocols have been introduced by Angluin et al. as a model in which n passively mobile anonymous finite-state agents stably compute a predicate on the multiset of their inputs via interactions by pairs. The model has been…

Computational Complexity · Computer Science 2019-02-21 Olivier Bournez , Johanne Cohen , Mikaël Rabie

We introduce a new coordination problem in distributed computing that we call the population stability problem. A system of agents each with limited memory and communication, as well as the ability to replicate and self-destruct, is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-09 Shafi Goldwasser , Rafail Ostrovsky , Alessandra Scafuro , Adam Sealfon

We study the self-stabilizing leader election problem in anonymous $n$-nodes networks. Achieving self-stabilization with low space memory complexity is particularly challenging, and designing space-optimal leader election algorithms remains…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-20 Lelia Blin , Sylvain Gay , Isabella Ziccardi

We propose a self-stabilizing leader election protocol on directed rings in the model of population protocols. Given an upper bound $N$ on the population size $n$, the proposed protocol elects a unique leader within $O(nN)$ expected steps…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-15 Daisuke Yokota , Yuichi Sudo , Toshimitsu Masuzawa

Population protocols are a class of algorithms for modeling distributed computation in networks of finite-state agents communicating through pairwise interactions. Their suitability for analyzing numerous chemical processes has motivated…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-04 Talley Amir , James Aspnes , John Lazarsfeld

Population protocols [Angluin et al., PODC, 2004] are a model of distributed computation in which indistinguishable, finite-state agents interact in pairs to decide if their initial configuration, i.e., the initial number of agents in each…

Logic in Computer Science · Computer Science 2021-02-10 Javier Esparza , Stefan Jaax , Mikhail Raskin , Chana Weil-Kennedy

In their 2006 seminal paper in Distributed Computing, Angluin et al. present a construction that, given any Presburger predicate as input, outputs a leaderless population protocol that decides the predicate. The protocol for a predicate of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-31 Philipp Czerner , Roland Guttenberg , Martin Helfrich , Javier Esparza

Population protocols are a model of distributed computation in which a collection of indistinguishable finite-state agents interact randomly in pairs to decide a predicate of their initial configuration. The agents decide by achieving a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-01 Philipp Czerner , Javier Esparza , Vincent Fischer , Roland Guttenberg , Julian Pins , Simon Reilich

A population protocol *stably elects a leader* if, for all $n$, starting from an initial configuration with $n$ agents each in an identical state, with probability 1 it reaches a configuration $\mathbf{y}$ that is correct (exactly one agent…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-23 David Doty , David Soloveichik

We consider the standard population protocol model, where (a priori) indistinguishable and anonymous agents interact in pairs according to uniformly random scheduling. The self-stabilizing leader election problem requires the protocol to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-30 Janna Burman , Ho-Lin Chen , Hsueh-Ping Chen , David Doty , Thomas Nowak , Eric Severson , Chuan Xu