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In this paper, we consider a model of generalized timed automata (GTA) with two kinds of clocks, history and future, that can express many timed features succinctly, including timed automata, event-clock automata with and without diagonal…

Formal Languages and Automata Theory · Computer Science 2024-03-19 S Akshay , Paul Gastin , R Govind , Aniruddha R Joshi , B Srivathsan

In this paper, we introduce a restriction of Timed Automata (TA), called non-resetting test Timed Automata (nrtTA). An nrtTA does not allow to test and reset the same clock on the same transition. The model has the same expressive power of…

Formal Languages and Automata Theory · Computer Science 2025-03-07 Marcello M. Bersani , Matteo Rossi , Pierluigi San Pietro

Priced timed automata provide a natural model for quantitative analysis of real-time systems and have been successfully applied in various scheduling and planning problems. The optimal reachability problem for linearly-priced timed automata…

Formal Languages and Automata Theory · Computer Science 2016-12-16 Devendra Bhave , Shankara Narayanan Krishna , Ashutosh Trivedi

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

Deep learning methods have shown promising performance in fault diagnosis for multimode process. Most existing studies assume that the collected health state categories from different operating modes are identical. However, in real…

Machine Learning · Computer Science 2025-10-30 Guangqiang Li , M. Amine Atoui , Xiangshun Li

We present time-constrained automata (TCA), a model for hard real-time computation in which agents behaviors are modeled by automata and constrained by time intervals. TCA actions can have multiple start time and deadlines, can be…

Logic in Computer Science · Computer Science 2010-10-28 Matthieu Lemerre , Vincent David , Christophe Aussaguès , Guy Vidal-Naquet

In this paper, we present the first general solution to the automatic reconfiguration problem of timed discrete-event systems. We extend the recursive forcible backtracking approach which had been already solved the automatic…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Matin Macktoobian

Parametric timed automata (PTAs) extend the concept of timed automata, by allowing timing delays not only specified by concrete values but also by parameters, allowing the analysis of systems with uncertainty regarding timing behaviors. The…

Formal Languages and Automata Theory · Computer Science 2024-10-03 Étienne André , Johan Arcile , Engel Lefaucheux

We study the emptiness and $\lambda$-reachability problems for unary and binary Probabilistic Finite Automata (PFA) and characterise the complexity of these problems in terms of the degree of ambiguity of the automaton and the size of its…

Formal Languages and Automata Theory · Computer Science 2024-02-14 Paul C. Bell , Pavel Semukhin

Considering real-valued clocks in timed automata (TA) makes it a practical modeling framework for discrete-event systems. However, the infinite state space brings challenges to the control of TA. To synthesize a supervisor for TA using the…

Systems and Control · Electrical Eng. & Systems 2021-02-19 Aida Rashidinejad , Michel Reniers , Martin Fabian

Parametric analysis is a powerful tool for designing modern embedded systems, because it permits to explore the space of design parameters, and to check the robustness of the system with respect to variations of some uncontrollable…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-07 Youcheng Sun , Romain Soulat , Giuseppe Lipari , Étienne André , Laurent Fribourg

Updatable timed automata (UTA) are extensions of classic timed automata that allow special updates to clock variables, like x:= x - 1, x := y + 2, etc., on transitions. Reachability for UTA is undecidable in general. Various subclasses with…

Logic in Computer Science · Computer Science 2020-09-29 Paul Gastin , Sayan Mukherjee , B Srivathsan

We introduce a new class of Parametric Timed Automata (PTAs) where we allow clocks to be compared to parameters in guards, as in classic PTAs, but also to be updated to parameters. We focus here on the EF-emptiness problem: "is the set of…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Étienne André , Didier Lime , Mathias Ramparison

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 address the problem of verifying timed properties of Markovian models of large populations of interacting agents, modelled as finite state automata. In particular, we focus on time-bounded properties of (random) individual agents…

Formal Languages and Automata Theory · Computer Science 2015-06-22 Luca Bortolussi , Roberta Lanciani

We consider the computability and complexity of decision questions for Probabilistic Finite Automata (PFA) with sub-exponential ambiguity. We show that the emptiness problem for strict and non-strict cut-points of polynomially ambiguous…

Formal Languages and Automata Theory · Computer Science 2020-07-30 Paul C. Bell

Starting from integrable cellular automata we present a novel form of Painlev\'e equations. These equations are discrete in both the independent variable and the dependent one. We show that they capture the essence of the behavior of the…

solv-int · Physics 2009-10-30 B. Grammaticos , Y. Ohta , A. Ramani , D. Takahashi , K. M. Tamizhmani

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

Time-space tradeoff has been studied in a variety of models, such as Turing machines, branching programs, and finite automata, etc. While communication complexity as a technique has been applied to study finite automata, it seems it has not…

Computational Complexity · Computer Science 2023-12-01 Shenggen Zheng , Yaqiao Li , Minghua Pan , Jozef Gruska , Lvzhou Li

We construct zero-error quantum finite automata (QFAs) for promise problems which cannot be solved by bounded-error probabilistic finite automata (PFAs). Here is a summary of our results: - There is a promise problem solvable by an exact…

Quantum Physics · Physics 2014-04-11 Jibran Rashid , Abuzer Yakaryilmaz