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The deterministic membership problem for timed automata asks whether the timed language given by a nondeterministic timed automaton can be recognised by a deterministic timed automaton. An analogous problem can be stated in the setting of…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

We consider the model checking problem of infinite state systems given in the form of parameterized discrete timed networks with multiple clocks. We show that this problem is decidable with respect to specifications given by B- or…

Logic in Computer Science · Computer Science 2016-09-15 Benjamin Aminof , Sasha Rubin , Francesco Spegni , Florian Zuleger

Timed automata are a widely used formalism for specifying the discrete-state/continuous-time behavior of time-critical reactive systems. For the fundamental verification problem of comparing two timed automata, it has been shown that timed…

Formal Languages and Automata Theory · Computer Science 2026-04-01 Alexander Lieb , Hendrik Göttmann , Lars Luthmann , Malte Lochau , Andy Schürr

Monitoring is an important part of the verification toolbox, in particular in situations where exhaustive verification using, e.g., model-checking is infeasible. The goal of online monitoring is to determine the satisfaction or violation of…

Formal Languages and Automata Theory · Computer Science 2025-10-02 Thomas M. Grosen , Sean Kauffman , Kim G. Larsen , Martin Zimmermann

A notion of alternating timed automata is proposed. It is shown that such automata with only one clock have decidable emptiness problem over finite words. This gives a new class of timed languages which is closed under boolean operations…

Logic in Computer Science · Computer Science 2007-05-23 Slawomir Lasota , Igor Walukiewicz

This article introduces a fully automated verification technique that permits to analyze real-time systems described using a continuous notion of time and a mixture of operational (i.e., automata-based) and descriptive (i.e., logic-based)…

Logic in Computer Science · Computer Science 2013-08-14 Carlo A. Furia , Matteo Pradella , Matteo Rossi

Timed B\"uchi automata provide a very expressive formalism for expressing requirements of real-time systems. Online monitoring and active testing of embedded real-time systems can then be achieved by symbolic execution of such automata on…

Formal Languages and Automata Theory · Computer Science 2025-07-30 Martin Fränzle , Thomas M. Grosen , Kim G. Larsen , Martin Zimmermann

Sampled semantics of timed automata is a finite approximation of their dense time behavior. While the former is closer to the actual software or hardware systems with a fixed granularity of time, the abstract character of the latter makes…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Pavel Krcal , Parosh Aziz Abdulla , Wang Yi

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

Probabilistic timed automata are an extension of timed automata with discrete probability distributions. We consider model-checking algorithms for the subclasses of probabilistic timed automata which have one or two clocks. Firstly, we show…

Logic in Computer Science · Computer Science 2019-03-14 Marcin Jurdzinski , Francois Laroussinie , Jeremy Sproston

Timed automata (TAs) are an extension of finite automata that can measure and react to the passage of time, providing the ability to handle real-time constraints using clocks. In 2009, Franck Cassez showed that the timed opacity problem,…

Logic in Computer Science · Computer Science 2026-03-30 Étienne André , Sarah Dépernet , Engel Lefaucheux

We propose deterministic timed automata (DTA) as a model-independent language for specifying performance and dependability measures over continuous-time stochastic processes. Technically, these measures are defined as limit frequencies of…

Systems and Control · Computer Science 2015-03-17 Tomáš Brázdil , Jan Krčál , Jan Křetínský , Antonín Kučera , Vojtěch Řehák

Nondeterministic Discounted-Sum Automata (NDAs) are nondeterministic finite automata equipped with a discounting factor $\lambda>1$, and whose transitions are labelled by weights. The value of a run of an NDA is the discounted sum of the…

Formal Languages and Automata Theory · Computer Science 2023-10-16 Shaull Almagor , Neta Dafni

The parameter synthesis problem for parametric timed automata is undecidable in general even for very simple reachability properties. In this paper we introduce restrictions on parameter valuations under which the parameter synthesis…

Formal Languages and Automata Theory · Computer Science 2016-03-07 Peter Bezděk , Nikola Beneš , Jiří Barnat , Ivana Černá

This paper introduces a simple formalism for dealing with deterministic, non- deterministic and stochastic cellular automata in an unified and composable manner. This formalism allows for local probabilistic correlations, a feature which is…

Discrete Mathematics · Computer Science 2013-05-20 Pablo Arrighi , Nicolas Schabanel , Guillaume Theyssier

We consider Pareto analysis of reachable states of multi-priced timed automata (MPTA): timed automata equipped with multiple observers that keep track of costs (to be minimised) and rewards (to be maximised) along a computation. Each…

Logic in Computer Science · Computer Science 2018-05-16 Martin Fränzle , Mahsa Shirmohammadi , Mani Swaminathan , James Worrell

Interrupt Timed Automata (ITA) form a subclass of stopwatch automata where reachability and some variants of timed model checking are decidable even in presence of parameters. They are well suited to model and analyze real-time operating…

Formal Languages and Automata Theory · Computer Science 2015-04-20 Béatrice Bérard , Serge Haddad , Claudine Picaronny , Mohab Safey El Din , Mathieu Sassolas

Quantum computing is a new model of computation, based on quantum physics. Quantum computers can be exponentially faster than conventional computers for problems such as factoring. Besides full-scale quantum computers, more restricted…

Formal Languages and Automata Theory · Computer Science 2018-07-05 Andris Ambainis , Abuzer Yakaryılmaz

We show that the determinization problem for min-plus (tropical) weighted automata is decidable, thus resolving this long-standing open problem. In doing so, we develop a new toolbox for analyzing and reasoning about the run-structure of…

Formal Languages and Automata Theory · Computer Science 2025-04-01 Shaull Almagor , Guy Arbel , Sarai Sheinvald

A Persuasive Teachable Agent (PTA) is a special type of Teachable Agent which incorporates a persuasion theory in order to provide persuasive and more personalized feedback to the student. By employing the persuasion techniques, the PTA…

Artificial Intelligence · Computer Science 2016-01-26 Zhiwei Zeng