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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

We introduce the class of Interrupt Timed Automata (ITA), a subclass of hybrid automata well suited to the description of timed multi-task systems with interruptions in a single processor environment. While the reachability problem is…

Formal Languages and Automata Theory · Computer Science 2012-03-30 Béatrice Bérard , Serge Haddad , Mathieu Sassolas

We study timed systems in which some timing features are unknown parameters. Parametric timed automata (PTAs) are a classical formalism for such systems but for which most interesting problems are undecidable. Notably, the parametric…

Logic in Computer Science · Computer Science 2023-06-22 Étienne André , Didier Lime , Olivier H. Roux

This paper is concerned with the computational complexity of equivalence and minimisation for automata with transition weights in the field Q of rational numbers. We use polynomial identity testing and the Isolation Lemma to obtain…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Stefan Kiefer , Andrzej Murawski , Joel Ouaknine , Bjoern Wachter , James Worrell

Logics and automata models for languages over infinite alphabets, such as Freeze LTL and register automata, serve the verification of processes or documents with data. They relate tightly to formalisms over nominal sets, such as…

Formal Languages and Automata Theory · Computer Science 2021-08-23 Daniel Hausmann , Stefan Milius , Lutz Schröder

We introduce the class of tree constraint automata with data values in Z (equipped with the less than relation and equality predicates to constants) and we show that the nonemptiness problem is ExpTime-complete. Using an automata-based…

Logic in Computer Science · Computer Science 2025-06-25 Stephane Demri , Karin Quaas

For non-uniform cellular automata (NUCA) with finite memory over an arbitrary universe with multiple local transition rules, we show that pointwise nilpotency, pointwise periodicity, and pointwise eventual periodicity properties are…

Dynamical Systems · Mathematics 2022-10-04 Xuan Kien Phung

We present new results on realtime alternating, private alternating, and quantum alternating automaton models. Firstly, we show that the emptiness problem for alternating one-counter automata on unary alphabets is undecidable. Then, we…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Gökalp Demirci , Mika Hirvensalo , Klaus Reinhardt , A. C. Cem Say , Abuzer Yakaryılmaz

Markov automata (MA) constitute an expressive continuous-time compositional modelling formalism. They appear as semantic backbones for engineering frameworks including dynamic fault trees, Generalised Stochastic Petri Nets, and AADL. Their…

Logic in Computer Science · Computer Science 2013-05-31 Dennis Guck , Hassan Hatefi , Holger Hermanns , Joost-Pieter Katoen , Mark Timmer

Cellular automata (CA) exemplify systems where simple local interaction rules can lead to intricate and complex emergent phenomena at large scales. The various types of dynamical behavior of CA are usually categorized empirically into…

Cellular Automata and Lattice Gases · Physics 2024-06-10 Wout Merbis , Calvin Bakker

Quantum computing is concerned with computer technology based on the principles of quantum mechanics, with operations performed at the quantum level. Quantum computational models make it possible to analyze the resources required for…

Formal Languages and Automata Theory · Computer Science 2019-01-24 Amandeep Singh Bhatia , Ajay Kumar

We investigate the computational power of particle methods, a well-established class of algorit hms with applications in scientific computing and computer simulation. The computational power of a compute model determines the class of…

Formal Languages and Automata Theory · Computer Science 2025-07-23 Johannes Pahlke , Ivo F. Sbalzarini

This paper deals with the CREP (Configuration REachability Problem) for non-uniform cellular automata (CAs). The cells of non-uniform CAs, we have considered here, can use different Wolfram's rules to generate their next states. We report…

Computational Complexity · Computer Science 2019-01-25 Sumit Adak , Sukanya Mukherjee , Sukanta Das

An automata network is a network of entities, each holding a state from a finite set and evolving according to a local update rule which depends only on its neighbors in the network's graph. It is freezing if there is an order on states…

Discrete Mathematics · Computer Science 2021-02-03 Eric Goles , Pedro Montealegre , Martín Ríos-Wilson , Guillaume Theyssier

This paper studies complexity of recognition of classes of bounded configurations by a generalization of conventional cellular automata (CA) -- finite dynamic cellular automata (FDCA). Inspired by the CA-based models of biological and…

Computational Complexity · Computer Science 2007-05-23 Maxim Makatchev

In this dissertation, we study temporally stochasticity in cellular automata and the behavior of such cellular automata. The work also explores the computational ability of such cellular automaton that illustrates the computability of…

Cellular Automata and Lattice Gases · Physics 2022-10-26 Subrata Paul

We introduce the notion of multipass automata as a generalization of pushdown automata and study the classes of languages accepted by such machines. The class of languages accepted by deterministic multipass automata is exactly the Boolean…

Nominal set plays a central role in a group-theoretic extension of finite automata to those over an infinite set of data values. Moerman et al. proposed an active learning algorithm for nominal word automata with the equality symmetry. In…

Formal Languages and Automata Theory · Computer Science 2022-08-18 R. Nakanishi , Y. Takata , H. Seki

One clock alternating timed automata (OCATA) have been introduced as natural extension of (one clock) timed automata to express the semantics of MTL. In this paper, we consider the application of OCATA to the problems of model-checking and…

Logic in Computer Science · Computer Science 2014-06-18 Thomas Brihaye , Morgane Estiévenart , Gilles Geeraerts

We introduce layered automata, a subclass of alternating parity automata that generalises deterministic automata. Assuming a consistency property, these automata are history deterministic and 0-1 probabilistic. We show that every…

Formal Languages and Automata Theory · Computer Science 2026-01-23 Antonio Casares , Christof Löding , Igor Walukiewicz
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