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Partitioning large networks into stable clusters of synchronized nodes is a challenging task. Recent approaches based on spectral analysis can provide exact results on specific dynamics but remain unfeasible for very large networks.…

Physics and Society · Physics 2026-01-23 Massimo Ostilli

While linearizability is a fundamental correctness condition for distributed systems, ensuring the linearizability of implementations can be quite complex. An essential aspect of linearizable implementations of concurrent objects is the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-08 Raïssa Nataf , Yoram Moses

Finitely many two-way automata work independently and synchronously on a unary input. Some of their states are broadcasting, i.e., dispatched to all other automata. At each step of the computation, each automaton changes state and moves…

Logic in Computer Science · Computer Science 2024-08-20 Christian Choffrut

An automaton is synchronizing if there is a word that maps all states onto the same state. \v{C}ern\'{y}'s conjecture on the length of the shortest such word is probably the most famous open problem in automata theory. We consider the…

Combinatorics · Mathematics 2022-10-18 Natalie C. Behague , J. Robert Johnson

A synchronizing word of a deterministic finite complete automaton is a word whose action maps every state to a single one. Finding a shortest or a short synchronizing word is a central computational problem in the theory of synchronizing…

Formal Languages and Automata Theory · Computer Science 2022-07-13 Marek Szykuła , Adam Zyzik

We consider several models of 1-round classical and quantum communication, some of these models have not been defined before. We "almost separate" the models of simultaneous quantum message passing with shared entanglement and the model of…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky

A network of chaotic systems can be designed in such a way that the cluster patterns formed by synchronous nodes can be controlled through the coupling parameters. We present a novel approach to exploit such a network for covert…

Information Theory · Computer Science 2023-12-11 Zekeriya Sarı , Serkan Günel

Several aspects of the problem of asynchronous point-to-point communication without feedback are developed when the source is highly intermittent. In the system model of interest, the codeword is transmitted at a random time within a…

Information Theory · Computer Science 2012-07-10 Aslan Tchamkerten , Venkat Chandar , Gregory Wornell

The vertex coloring problem has received a lot of attention in the context of synchronous round-based systems where, at each round, a process can send a message to all its neighbors, and receive a message from each of them. Hence, this…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-13 Hicham Lakhlef , Michel Raynal , François Taïani

Team Automata is a formalism for interacting component-based systems proposed in 1997, whereby multiple sending and receiving actions from concurrent automata can synchronise. During the past 25+ years, team automata have been studied and…

Logic in Computer Science · Computer Science 2025-09-17 Maurice H. ter Beek , Rolf Hennicker , José Proença

Reconfigurable broadcast networks provide a convenient formalism for modelling and reasoning about networks of mobile agents broadcasting messages to other agents following some (evolving) communication topology. The parameterized…

Logic in Computer Science · Computer Science 2018-02-26 A. R. Balasubramanian , Nathalie Bertrand , Nicolas Markey

We present different classes of solutions to the Firing Squad Synchronization Problem on networks of different shapes. The nodes are finite state processors that work at unison discrete steps. The networks considered are the line, the ring…

Data Structures and Algorithms · Computer Science 2007-05-23 J. Gruska , S. La Torre , M. Napoli , M. Parente

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

Synchronizing sequences have been proposed in the late 60's to solve testing problems on systems modeled by finite state machines. Such sequences lead a system, seen as a black box, from an unknown current state to a known final one. This…

Systems and Control · Computer Science 2013-07-10 M. Pocci , I. Demongodin , N. Giambiasi , A. Giua

In modern networks, forwarding of packets often depends on the history of previously transmitted traffic. Such networks contain stateful middleboxes, whose forwarding behaviour depends on a mutable internal state. Firewalls and load…

Logic in Computer Science · Computer Science 2021-06-04 Kalev Alpernas , Aurojit Panda , Alexander Rabinovich , Mooly Sagiv , Scott Shenker , Sharon Shoham , Yaron Velner

This work analyzes the security weakness of a recently proposed communication method based on chaotic modulation and masking using synchronization of two chaotic systems with different orders. It is shown that its application to secure…

Chaotic Dynamics · Physics 2007-10-23 G. Alvarez , L. Hernandez , J. Munoz , F. Montoya , Shujun Li

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

We study the following synchronous process that we call "repeated balls-into-bins". The process is started by assigning $n$ balls to $n$ bins in an arbitrary way. In every subsequent round, from each non-empty bin one ball is chosen…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-25 Luca Becchetti , Andrea Clementi , Emanuele Natale , Francesco Pasquale , Gustavo Posta

The problem of distributed synthesis is to automatically generate a distributed algorithm, given a target communication network and a specification of the algorithm's correct behavior. Previous work has focused on static networks with an a…

Formal Languages and Automata Theory · Computer Science 2020-09-24 Béatrice Bérard , Benedikt Bollig , Patricia Bouyer , Matthias Függer , Nathalie Sznajder

These lecture notes cover basic automata-theoretic concepts and logical formalisms for the modeling and verification of concurrent and distributed systems. Many of these concepts naturally extend the classical automata and logics over…

Logic in Computer Science · Computer Science 2021-10-19 Benedikt Bollig , Paul Gastin