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We study the reachability problem for communicating timed processes, both in discrete and dense time. Our model comprises automata with local timing constraints communicating over unbounded FIFO channels. Each automaton can only access its…

Logic in Computer Science · Computer Science 2015-03-20 Lorenzo Clemente , Frédéric Herbreteau , Amélie Stainer , Grégoire Sutre

In distributed computing, multiple processes interact to solve a problem together. The main model of interaction is the message-passing model, where processes communicate by exchanging messages. Nevertheless, there are several models…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Adam Shimi , Aurélie Hurault , Philippe Queinnec

We introduce the model of communicating timed automata (CTA) that extends the classical models of finite-state processes communicating through FIFO perfect channels and timed automata, in the sense that the finite-state processes are…

Formal Languages and Automata Theory · Computer Science 2018-03-20 Parosh Aziz Abdulla , Mohamed Faouzi Atig , S. Krishna

Communicating finite-state machines are a fundamental, well-studied model of finite-state processes that communicate via unbounded first-in first-out channels. We show that they are expressively equivalent to existential MSO logic with two…

Logic in Computer Science · Computer Science 2017-09-29 Benedikt Bollig , Marie Fortin , Paul Gastin

Deterministic synchronous systems consisting of two finite automata running in opposite directions on a shared read-only input are studied with respect to their ability to perform reversible computations, which means that the automata are…

Formal Languages and Automata Theory · Computer Science 2023-09-07 Martin Kutrib , Andreas Malcher

We consider the parameterized verification problem for distributed algorithms where the goal is to develop techniques to prove the correctness of a given algorithm regardless of the number of participating processes. Motivated by an…

Formal Languages and Automata Theory · Computer Science 2022-04-26 Nathalie Bertrand , Nicolas Markey , Ocan Sankur , Nicolas Waldburger

We present the first self-stabilizing consensus and replicated state machine for asynchronous message passing systems. The scheme does not require that all participants make a certain number of steps prior to reaching a practically infinite…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-21 Peva Blanchard , Shlomi Dolev , Joffroy Beauquier , Sylvie Delaët

We propose protocols for obliviously evaluating finite-state machines, i.e., the evaluation is shared between the provider of the finite-state machine and the provider of the input string in such a manner that neither party learns the…

Cryptography and Security · Computer Science 2022-01-07 Rafael Dowsley , Caleb Horst , Anderson C. A. Nascimento

FIFO automata are finite state machines communicating through FIFO queues. They can be used for instance to model distributed protocols. Due to the unboundedness of the FIFO queues, several verification problems are undecidable for these…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-04 Cinzia Di Giusto , Loïc Germerie Guizouarn , Etienne Lozes

We study networks of processes that all execute the same finite state protocol and that communicate through broadcasts. The processes are organized in a graph (a topology) and only the neighbors of a process in this graph can receive its…

Logic in Computer Science · Computer Science 2024-07-08 Lucie Guillou , Arnaud Sangnier , Nathalie Sznajder

We study networks of processes that all execute the same finite-state protocol and communicate via broadcasts. We are interested in two problems with a parameterized number of processes: the synchronization problem which asks whether there…

Logic in Computer Science · Computer Science 2025-06-30 Lucie Guillou , Arnaud Sangnier , Nathalie Sznajder

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

We explore the fundamental limits of distributed balls-into-bins algorithms. We present an adaptive symmetric algorithm that achieves a bin load of two in log* n+O(1) communication rounds using O(n) messages in total. Larger bin loads can…

Computational Complexity · Computer Science 2011-03-01 Christoph Lenzen , Roger Wattenhofer

Most slowly synchronizing automata over binary alphabets are circular, i.e., containing a letter permuting the states in a single cycle, and their set of synchronizing words has maximal state complexity, which also implies complete…

Formal Languages and Automata Theory · Computer Science 2020-12-01 Stefan Hoffmann

We investigate the decidability of the emptiness problem for three classes of distributed automata. These devices operate on finite directed graphs, acting as networks of identical finite-state machines that communicate in an infinite…

Formal Languages and Automata Theory · Computer Science 2017-09-08 Antti Kuusisto , Fabian Reiter

We study the gossip problem in a message-passing environment: When a process receives a message, it has to decide whether the sender has more recent information on other processes than itself. This problem is at the heart of many…

Formal Languages and Automata Theory · Computer Science 2018-04-30 Benedikt Bollig , Marie Fortin , Paul Gastin

This article is on message-passing systems where communication is (a) synchronous and (b) based on the "broadcast/receive" pair of communication operations. "Synchronous" means that time is discrete and appears as a sequence of time slots…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-14 Davide Frey , Hicham Lakhlef , Michel Raynal

In this article, we study algorithms for dynamic networks with asynchronous start, i.e., each node may start running the algorithm in a different round. Inactive nodes transmit only heartbeats, which contain no information but can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-27 Bernadette Charron-Bost , Shlomo Moran

Isomorphic (sparse) collective communication is a form of collective communication in which all involved processes communicate in small, identically structured neighborhoods of other processes. Isomorphic neighborhoods are defined via an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-27 Jesper Larsson Träff , Alexandra Carpen-Amarie , Sascha Hunold , Antoine Rougier

Data reconciliation in general, and filesystem synchronization in particular, lacks rigorous theoretical foundation. This paper presents, for the first time, a complete analysis of synchronization for two replicas of a theoretical…

Information Theory · Computer Science 2022-11-15 Elod P. Csirmaz , Laszlo Csirmaz