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Parametric timed automata extend timed automata (Alur and Dill, 1991) in that they allow the specification of parametric bounds on the clock values. Since their introduction in 1993 by Alur, Henzinger, and Vardi, it is known that the…

Logic in Computer Science · Computer Science 2014-04-02 Karin Quaas

Cyber-physical systems can be subject to information leakage; in the presence of continuous variables such as time and energy, these leaks can be subtle to detect. We study here the verification of opacity problems over systems with…

Cryptography and Security · Computer Science 2025-12-05 Étienne André , Lydia Bakiri

Parametric timed automata (PTA) extend timed automata with unknown constants ("parameters"), at the price of undecidability of most interesting problems. The (untimed) language preservation problem ("given a parameter valuation, can we find…

Formal Languages and Automata Theory · Computer Science 2018-12-24 Étienne André , Shang-Wei Lin

We propose a new abstract formalism for probabilistic timed systems, Parametric Interval Probabilistic Timed Automata, based on an extension of Parametric Timed Automata and Interval Markov Chains. In this context, we consider the…

Formal Languages and Automata Theory · Computer Science 2019-06-13 Étienne André , Benoît Delahaye , Paulin Fournier

Ensuring the correctness of critical real-time systems, involving concurrent behaviours and timing requirements, is crucial. Timed automata extend finite-state automata with clocks, compared in guards and invariants with integer constants.…

Logic in Computer Science · Computer Science 2026-05-06 Étienne André , Didier Lime , Olivier H. Roux

The paper addresses the problem of computing maximal expected time to termination of probabilistic timed automata (PTA) models, under the condition that the system will, eventually, terminate. This problem can exhibit high computational…

Formal Languages and Automata Theory · Computer Science 2018-03-23 Omar Al-Bataineh , Michael Fisher , David Rosenblum

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

Interrupt Timed Automata (ITA) is an expressive timed model, introduced to take into account interruptions, according to levels. Due to this feature, this formalism is incomparable with Timed Automata. However several decidability results…

Logic in Computer Science · Computer Science 2014-09-09 Béatrice Bérard , Serge Haddad , Aleksandra Jovanović , Didier Lime

Parametric timed automata (PTA) extend timed automata by allowing parameters in clock constraints. Such a formalism is for instance useful when reasoning about unknown delays in a timed system. Using existing techniques, a user can…

Logic in Computer Science · Computer Science 2019-07-31 Étienne André , Vincent Bloemen , Laure Petrucci , Jaco van de Pol

We consider the parameter synthesis problem of parametric timed automata (PTAs). The problem is, given a PTA and a property, to compute the set of valuations of the parameters under which the resulting timed automaton satisfies the…

Systems and Control · Computer Science 2018-11-01 Liyun Dai , Bo Liu , Zhiming Liu , and

Opacity is a generic security property, that has been defined on (non probabilistic) transition systems and later on Markov chains with labels. For a secret predicate, given as a subset of runs, and a function describing the view of an…

Cryptography and Security · Computer Science 2014-09-02 Béatrice Bérard , Krishnendu Chatterjee , Nathalie Sznajder

Finite automata (FAs) model is a popular tool to characterize discrete event systems (DESs) due to its succinctness. However, for some complex systems, it is difficult to describe the necessary details by means of FAs model. In this paper,…

Formal Languages and Automata Theory · Computer Science 2023-07-11 Weilin Deng , Daowen Qiu , Jingkai Yang

Opacity is a property of privacy and security applications asking whether, given a system model, a passive intruder that makes online observations of system's behaviour can ascertain some "secret" information of the system. Deciding opacity…

Formal Languages and Automata Theory · Computer Science 2023-04-21 Jiří Balun , Tomáš Masopust , Petr Osička

We consider pushdown timed automata (PTAs) that are timed automata (with dense clocks) augmented with a pushdown stack. A configuration of a PTA includes a control state, dense clock values and a stack word. By using the pattern technique,…

Logic in Computer Science · Computer Science 2007-05-23 Zhe Dang

Timed automata (TAs) are an efficient formalism to model and verify systems with hard timing constraints, and concurrency. While TAs assume exact timing constants with infinite precision, parametric TAs (PTAs) leverage this limitation and…

Formal Languages and Automata Theory · Computer Science 2022-06-08 Johan Arcile , Étienne André

Timed automata (TAs) are a widely used formalism to specify systems having temporal requirements. However, exactly specifying the system may be difficult, as the user may not know the exact clock constraints triggering state transitions. In…

Logic in Computer Science · Computer Science 2019-07-05 Étienne André , Paolo Arcaini , Angelo Gargantini , Marco Radavelli

We consider distributed systems with an arbitrary number of processes, modelled by timed automata that communicate through location guards: a process can take a guarded transition if at least one other process is in a given location. In…

Logic in Computer Science · Computer Science 2025-12-05 Étienne André , Swen Jacobs , Engel Lefaucheux

In this paper, we study the model-checking and parameter synthesis problems of the logic TCTL over discrete-timed automata where parameters are allowed both in the model (timed automaton) and in the property (temporal formula). Our results…

Logic in Computer Science · Computer Science 2017-01-11 Veronique Bruyere , Jean-Francois Raskin

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

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