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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

Population protocols are a model of computation in which an arbitrary number of indistinguishable finite-state agents interact in pairs. The goal of the agents is to decide by stable consensus whether their initial global configuration…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-13 Philipp Czerner , Javier Esparza , Jérôme Leroux

Population protocols are a fundamental model in distributed computing, where many nodes with bounded memory and computational power have random pairwise interactions over time. This model has been studied in a rich body of literature aiming…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Simina Branzei , Yuval Peres

Population protocols are a model of distributed computing, in which $n$ agents with limited local state interact randomly, and cooperate to collectively compute global predicates. An extensive series of papers, across different communities,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-17 Dan Alistarh , James Aspnes , Rati Gelashvili

Infinite population models are important tools for studying population dynamics of evolutionary algorithms. They describe how the distributions of populations change between consecutive generations. In general, infinite population models…

Neural and Evolutionary Computing · Computer Science 2015-09-29 Bo Song , Victor O. K. Li

The standard population protocol model assumes that when two agents interact, each observes the entire state of the other agent. We initiate the study of $\textit{message complexity}$ for population protocols, where the state of an agent is…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-16 Talley Amir , James Aspnes , David Doty , Mahsa Eftekhari , Eric Severson

The population protocol model was introduced by Angluin \emph{et al.} as a model of passively mobile anonymous finite-state agents. This model computes a predicate on the multiset of their inputs via interactions by pairs. The original…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-12 Olivier Bournez , Johanne Cohen , Mikaël Rabie

Population protocols are a model of distributed computation in which finite-state agents interact randomly in pairs. A protocol decides for any initial configuration whether it satisfies a fixed property, specified as a predicate on the set…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-15 Philipp Czerner

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

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…

Computer Science and Game Theory · Computer Science 2009-07-20 Olivier Bournez , Jeremie Chalopin , Johanne Cohen , 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

Population protocols are a model for distributed computing that is focused on simplicity and robustness. A system of $n$ identical agents (finite state machines) performs a global task like electing a unique leader or determining the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-24 Petra Berenbrink , Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Peter Kling , Tomasz Radzik

We consider the model of population protocols introduced by Angluin et al., in which anonymous finite-state agents stably compute a predicate of the multiset of their inputs via two-way interactions in the all-pairs family of communication…

Computational Complexity · Computer Science 2007-05-23 Dana Angluin , James Aspnes , David Eisenstat , Eric Ruppert

Hyperproperties are properties over sets of traces (or runs) of a system, as opposed to properties of just one trace. They were introduced in 2010 and have been much studied since, in particular via an extension of the temporal logic LTL…

Logic in Computer Science · Computer Science 2024-10-16 Nicolas Waldburger , Chana Weil-Kennedy , Pierre Ganty , César Sánchez

Population protocols (Angluin et al., PODC, 2004) 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…

Logic in Computer Science · Computer Science 2018-08-15 Javier Esparza , Pierre Ganty , Rupak Majumdar , 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

This paper is concerned with the evolution of haploid organisms that reproduce asexually. In a seminal piece of work, Eigen and coauthors proposed the quasispecies model in an attempt to understand such an evolutionary process. Their work…

Populations and Evolution · Quantitative Biology 2012-03-07 Narendra M. Dixit , Piyush Srivastava , Nisheeth K. Vishnoi

Population protocols are a model of computation in which indistinguishable mobile agents interact in pairs to decide a property of their initial configuration. Originally introduced by Angluin et. al. in 2004 with a constant number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-09 Philipp Czerner , Vincent Fischer , Roland Guttenberg

We consider the problem of efficiently simulating population protocols. In the population model, we are given a distributed system of $n$ agents modeled as identical finite-state machines. In each time step, a pair of agents is selected…

Data Structures and Algorithms · Computer Science 2020-05-08 Petra Berenbrink , David Hammer , Dominik Kaaser , Ulrich Meyer , Manuel Penschuck , Hung Tran

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