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For nearly two decades, population protocols have been extensively studied, yielding efficient solutions for central problems in distributed computing, including leader election, and majority computation, a predicate type in Presburger…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-17 Leszek Gąsieniec , Tytus Grodzicki , Tomasz Jurdziński , Jakub Kowalski , Grzegorz Stachowiak

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 popular model of distributed computing, in which randomly-interacting agents with little computational power cooperate to jointly perform computational tasks. Inspired by developments in molecular computation, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-18 Dan Alistarh , James Aspnes , David Eisenstat , Rati Gelashvili , Ronald L. Rivest

We study the problems of leader election and population size counting for population protocols: networks of finite-state anonymous agents that interact randomly under a uniform random scheduler. We show a protocol for leader election that…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-08 Othon Michail , Paul G. Spirakis , Michail Theofilatos

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

We study population protocols: networks of anonymous agents that interact under a scheduler that picks pairs of agents uniformly at random. The _size counting problem_ is that of calculating the exact number $n$ of agents in the population,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 David Doty , Mahsa Eftekhari , Othon Michail , Paul G. Spirakis , Michail Theofilatos

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

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 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 2020-02-19 Mikhail Raskin

In this paper we study population protocols governed by the {\em random scheduler}, which uniformly at random selects pairwise interactions between $n$ agents. The main result of this paper is the first time and space optimal {\em exact…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-29 Leszek Gąsieniec , Grzegorz Stachowiak , Przemysław Uznański

We study uniform population protocols: networks of anonymous agents whose pairwise interactions are chosen at random, where each agent uses an identical transition algorithm that does not depend on the population size $n$. Many existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-30 David Doty , Mahsa Eftekhari

The model of population protocols refers to the growing in popularity theoretical framework suitable for studying pairwise interactions within a large collection of simple indistinguishable entities, frequently called agents. In this paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-28 Leszek Gasieniec , Grzegorz Stachowiak

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 2021-12-28 Mikhail Raskin

We consider the model of population protocols, which can be viewed as a sequence of random pairwise interactions of $n$ agents (nodes). We show population protocols for two problems: the leader election and the exact majority voting. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-04 Andreas Bilke , Colin Cooper , Robert Elsaesser , Tomasz Radzik

Population protocols have been introduced by Angluin et al. as a model of networks consisting of very limited mobile agents that interact in pairs but with no control over their own movement. A collection of anonymous agents, modeled by…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-22 Olivier Bournez , Jérémie Chalopin , Johanne Cohen , Xavier Koegler , Mikael Rabie

Population protocols are a model of distributed computation in which an arbitrary number of indistinguishable finite-state agents interact in pairs to decide some property of their initial configuration. We investigate the behaviour of…

Formal Languages and Automata Theory · Computer Science 2024-12-17 Benno Lossin , Philipp Czerner , Javier Esparza , Roland Guttenberg , Tobias Prehn

We propose a new theoretical model for passively mobile Wireless Sensor Networks, called PM, standing for Passively mobile Machines. The main modification w.r.t. the Population Protocol model is that agents now, instead of being automata,…

Computational Complexity · Computer Science 2010-12-14 Ioannis Chatzigiannakis , Othon Michail , Stavros Nikolaou , Andreas Pavlogiannis , Paul G. Spirakis

We address the self-stabilizing exact majority problem in the population protocol model, introduced by Angluin, Aspnes, Diamadi, Fischer, and Peralta (2004). In this model, there are $n$ state machines, called agents, which form a network.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-03 Haruki Kanaya , Ryota Eguchi , Taisho Sasada , Fukuhito Ooshita , Michiko Inoue

Population protocols are a relatively novel computational model in which very resource-limited anonymous agents interact in pairs with the goal of computing predicates. We consider the probabilistic version of this model, which naturally…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-20 Vladyslav Melnychuk

Population protocols are a well-studied model of distributed computation in which a group of anonymous finite-state agents communicates via pairwise interactions. Together they decide whether their initial configuration, that is, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-03 Steffen van Bergerem , Roland Guttenberg , Sandra Kiefer , Corto Mascle , Nicolas Waldburger , Chana Weil-Kennedy