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While the relationship of time and space is an established topic in traditional centralised complexity theory, this is not the case in distributed computing. We aim to remedy this by studying the time and space complexity of algorithms in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-11 Tuomo Lempiäinen , Jukka Suomela

It is well known that for a regular tree language it is decidable whether or not it can be recognized by a deterministic top-down tree automaton (DTA). However, the computational complexity of this problem has not been studied. We show that…

Formal Languages and Automata Theory · Computer Science 2021-07-08 Peter Leupold , Sebastian Maneth

One-dimensional cellular automata are discrete dynamical systems that operate on an infinite lattice of sites and are characterized by the locality and uniformity of their update rule. Permutations of the state set and isometric…

Cellular Automata and Lattice Gases · Physics 2025-12-10 Martin Schaller , Karl Svozil

A data tree is a finite tree whose every node carries a label from a finite alphabet and a datum from some infinite domain. We introduce a new model of automata over unranked data trees with a decidable emptiness problem. It is essentially…

Databases · Computer Science 2023-06-22 Diego Figueira , Luc Segoufin

A data tree is an unranked ordered tree whose every node is labelled by a letter from a finite alphabet and an element ("datum") from an infinite set, where the latter can only be compared for equality. The article considers alternating…

Logic in Computer Science · Computer Science 2010-06-15 Marcin Jurdzinski , Ranko Lazic

Promise problems were mainly studied in quantum automata theory. Here we focus on state complexity of classical automata for promise problems. First, it was known that there is a family of unary promise problems solvable by quantum automata…

Formal Languages and Automata Theory · Computer Science 2014-10-17 Viliam Geffert , Abuzer Yakaryilmaz

In the classic problem of sequence prediction, a predictor receives a sequence of values from an emitter and tries to guess the next value before it appears. The predictor masters the emitter if there is a point after which all of the…

Formal Languages and Automata Theory · Computer Science 2016-03-09 Tim Smith

A popular method for solving reachability in timed automata proceeds by enumerating reachable sets of valuations represented as zones. A na\"ive enumeration of zones does not terminate. Various termination mechanisms have been studied over…

Formal Languages and Automata Theory · Computer Science 2019-04-19 Paul Gastin , Sayan Mukherjee , B Srivathsan

Limit-average automata are weighted automata on infinite words that use average to aggregate the weights seen in infinite runs. We study approximate learning problems for limit-average automata in two settings: passive and active. In the…

Formal Languages and Automata Theory · Computer Science 2019-06-27 Jakub Michaliszyn , Jan Otop

We give a simple characterization of the functions that can be computed deterministically by anonymous processes in dynamic networks, depending on the number of leaders in the network. In addition, we provide efficient distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Giuseppe A. Di Luna , Giovanni Viglietta

In this paper, we define the class of hourglass automata, which are timed automata with bounded clocks that can be made to progress backwards as well as forwards at a constant rate. We then introduce a new clock update for timed automata…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Yuki Osada , Tim French , Mark Reynolds , Harry Smallbone

The distributed synthesis problem is about constructing cor- rect distributed systems, i.e., systems that satisfy a given specification. We consider a slightly more general problem of distributed control, where the goal is to restrict the…

Logic in Computer Science · Computer Science 2014-07-21 Anca Muscholl , Igor Walukiewicz

We are motivated by the following question: which data languages admit an active learning algorithm? This question was left open in previous work by the authors, and is particularly challenging for languages recognised by nondeterministic…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Joshua Moerman , Matteo Sammartino

Inspired by distributed resource allocation problems in dynamic topology networks, we initiate the study of distributed consensus with finite messaging passing. We first find a sufficient condition on the network graph for which no…

Information Theory · Computer Science 2010-07-01 Debashis Dash , Ashutosh Sabharwal

We define a class of languages of infinite words over infinite alphabets, and the corresponding automata. The automata used for recognition are a generalisation of deterministic Muller automata to the setting of nominal sets. Remarkably,…

Formal Languages and Automata Theory · Computer Science 2013-10-16 Vincenzo Ciancia , Matteo Sammartino

A coloring of edges of a finite directed graph turns the graph into finite-state automaton. The synchronizing word of a deterministic automaton is a word in the alphabet of colors (considered as letters) of its edges that maps the automaton…

Discrete Mathematics · Computer Science 2010-11-24 A. N. Trahtman

Communicating finite-state machines (CFMs) are a Turing powerful model of asynchronous message-passing distributed systems. In weakly synchronous systems, processes communicate through phases in which messages are first sent and then…

Computation and Language · Computer Science 2023-08-22 Cinzia Di Giusto , Davide Ferré , Etienne Lozes , Nicolas Nisse

We show the diagonal problem for higher-order pushdown automata (HOPDA), and hence the simultaneous unboundedness problem, is decidable. From recent work by Zetzsche this means that we can construct the downward closure of the set of words…

Formal Languages and Automata Theory · Computer Science 2015-11-06 Matthew Hague , Jonathan Kochems , C. -H. Luke Ong

Robots with lights is a model of autonomous mobile computational entities operating in the plane in Look-Compute-Move cycles: each agent has an externally visible light which can assume colors from a fixed set; the lights are persistent…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-13 G. A. Di Luna , P. Flocchini , S. Gan Chaudhuri , N. Santoro , G. Viglietta

Opacity is an information flow property characterizing whether a system reveals its secret to an intruder. Verification of opacity for discrete-event systems modeled by automata is in general a hard problem. We discuss the question whether…

Formal Languages and Automata Theory · Computer Science 2019-12-17 Jiří Balun , Tomáš Masopust