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We propose a continuous version of the classical Gale--Berlekamp switching game. We also study a weighted version of this new continuous game. The main results of this paper concern growth estimates for the corresponding optimization…

Combinatorics · Mathematics 2020-03-16 Daniel Pellegrino , Janiely Silva , Eduardo V. Teixeira

We introduce a transformation system for concurrent constraint programming (CCP). We define suitable applicability conditions for the transformations which guarantee that the input/output CCP semantics is preserved also when distinguishing…

Programming Languages · Computer Science 2007-05-23 Sandro Etalle , Maurizio Gabbrielli , Maria Chiara Meo

In the context of two-player games over graphs, a language $L$ is called positional if, in all games using $L$ as winning objective, the protagonist can play optimally using positional strategies, that is, strategies that do not depend on…

Formal Languages and Automata Theory · Computer Science 2026-03-11 Antonio Casares , Pierre Ohlmann

We develop an Integral Transformation Method (ITM) for the study of suitable optimal control and differential game models. This allows for a solution to such dynamic problems to be found through solving a family of optimization problems…

Theoretical Economics · Economics 2025-01-06 Raouf Boucekkine , Giorgio Fabbri , Salvatore Federico , Fausto Gozzi , Ted Loch-Temzelides , Cristiano Ricci

Automata over infinite alphabets have emerged as a convenient computational model for processing structures involving data, such as nonces in cryptographic protocols or data values in XML documents. We introduce active learning methods for…

Formal Languages and Automata Theory · Computer Science 2026-03-27 Florian Frank , Stefan Milius , Jurriaan Rot , Henning Urbat

We study a generalisation of B\"uchi-Landweber games to the timed setting. The winning condition is specified by a non-deterministic timed automaton, and one of the players can elapse time. We perform a systematic study of synthesis…

Formal Languages and Automata Theory · Computer Science 2026-01-09 Sławomir Lasota , Mathieu Lehaut , Julie Parreaux , Radosław Piórkowski

We consider finite two-way automata and measure the use of two-way motion by counting the number of left moves in accepting computations. Restriction of the automata according to this measure allows us to study in detail the use of two-way…

Formal Languages and Automata Theory · Computer Science 2014-09-23 David Damanik

Iterative abstraction refinement techniques are one of the most prominent paradigms for the analysis and verification of systems with large or infinite state spaces. This paper investigates the changes of truth values of system properties…

Logic in Computer Science · Computer Science 2026-01-14 Jakob Piribauer , Vinzent Zschuppe

Mechanistic models in biology often involve numerous parameters about which we do not have direct experimental information. The traditional approach is to fit these parameters using extensive numerical simulations (e.g. by the Monte-Carlo…

Systems and Control · Computer Science 2022-01-10 Alexandre Rocca , Marcelo Forets , Victor Magron , Eric Fanchon , Thao Dang

In this work we use a framework of finite-state automata constructions based on equivalences over words to provide new insights on the relation between well-known methods for computing the minimal deterministic automaton of a language.

Formal Languages and Automata Theory · Computer Science 2019-06-28 Pierre Ganty , Elena Gutiérrez , Pedro Valero

This paper studies the complexity of languages of finite words using automata theory. To go beyond the class of regular languages, we consider infinite automata and the notion of state complexity defined by Karp. Motivated by the seminal…

Formal Languages and Automata Theory · Computer Science 2019-12-25 Nathanaël Fijalkow

Algorithms which learn environments represented by automata in the past have had complexity scaling with the number of states in the automaton, which can be exponentially large even for automata recognizing regular expressions with a small…

Formal Languages and Automata Theory · Computer Science 2024-05-13 Ali Cataltepe , Vanessa Kosoy

Data automata on data words is a decidable model proposed by Boja\'nczyk et al. in 2006. Class automata, introduced recently by Boja\'nczyk and Lasota, is an extension of data automata which unifies different automata models on data words.…

Formal Languages and Automata Theory · Computer Science 2011-06-08 Zhilin Wu

The classical alternating minimization (or projection) algorithm has been successful in the context of solving optimization problems over two variables. The iterative nature and simplicity of the algorithm has led to its application to many…

Information Theory · Computer Science 2010-08-24 Urs Niesen , Devavrat Shah , Gregory Wornell

Model checking properties are often described by means of finite automata. Any particular such automaton divides the set of infinite trees into finitely many classes, according to which state has an infinite run. Building the full type…

Logic in Computer Science · Computer Science 2015-07-01 Klaus Aehlig

We characterize the class of nondeterministic ${\omega}$-automata that can be used for the analysis of finite Markov decision processes (MDPs). We call these automata `good-for-MDPs' (GFM). We show that GFM automata are closed under classic…

Formal Languages and Automata Theory · Computer Science 2019-10-31 Ernst Moritz Hahn , Mateo Perez , Fabio Somenzi , Ashutosh Trivedi , Sven Schewe , Dominik Wojtczak

A weight normalization procedure, commonly called pushing, is introduced for weighted tree automata (wta) over commutative semifields. The normalization preserves the recognized weighted tree language even for nondeterministic wta, but it…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Thomas Hanneforth , Andreas Maletti , Daniel Quernheim

The Naming Game has been studied to explore the role of self-organization in the development and negotiation of linguistic conventions. In this paper, we define an automata networks approach to the Naming Game. Two problems are faced: (1)…

Computation and Language · Computer Science 2016-04-08 Javier Vera , Pedro Montealegre , Eric Goles

This paper is a contribution to the study of parity games and the recent constructions of three quasipolynomial time algorithms for solving them. We revisit a result of Czerwi\'nski, Daviaud, Fijalkow, Jurdzi\'nski, Lazi\'c, and Parys…

Computer Science and Game Theory · Computer Science 2018-10-22 Thomas Colcombet , Nathanaël Fijalkow

Recently, the problem of obtaining a short regular expression equivalent to a given finite automaton has been intensively investigated. Algorithms for converting finite automata to regular expressions have an exponential blow-up in the…

Formal Languages and Automata Theory · Computer Science 2010-08-11 Nelma Moreira , Davide Nabais , Rogério Reis