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We consider the synthesis problem on timed automata with B\"uchi objectives, where delay choices made by a controller are subjected to small perturbations. Usually, the controller needs to avoid punctual guards, such as testing the equality…

Computer Science and Game Theory · Computer Science 2024-04-30 Benoît Barbot , Damien Busatto-Gaston , Catalin Dima , Youssouf Oualhadj

Backwards reachability is an efficient zone-based approach for model checking probabilistic timed automata w.r.t. PTCTL properties. Current implementations, however, are restricted to maximum probabilities of reachability properties. In…

Logic in Computer Science · Computer Science 2022-08-26 Arnd Hartmanns , Bram Kohlen

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

Recent advances in machine learning technologies and sensing have paved the way for the belief that safe, accessible, and convenient autonomous vehicles may be realized in the near future. Despite tremendous advances within this context,…

We study fundamental reachability problems on pseudo-orbits of linear dynamical systems. Pseudo-orbits can be viewed as a model of computation with limited precision and pseudo-reachability can be thought of as a robust version of classical…

Logic in Computer Science · Computer Science 2022-07-07 Julian D'Costa , Toghrul Karimov , Rupak Majumdar , Joël Ouaknine , Mahmoud Salamati , James Worrell

Symbolic data structures for model checking timed systems have been subject to a significant research, with Difference Bound Matrices (DBMs) still being the preferred data structure in several mature verification tools. In comparison,…

Data Structures and Algorithms · Computer Science 2012-11-28 Kenneth Y. Jørgensen , Kim G. Larsen , Jiří Srba

We consider networks of finite-state machines having local transitions conditioned by the current state of other automata. In this paper, we depict a reduction procedure tailored for a given reachability property of the form ``from global…

Logic in Computer Science · Computer Science 2016-11-07 Loïc Paulevé

We consider temporal logic verification of (possibly nonlinear) dynamical systems evolving over continuous state spaces. Our approach combines automata-based verification and the use of so-called barrier certificates. Automata-based…

Formal Languages and Automata Theory · Computer Science 2014-03-17 Tichakorn Wongpiromsarn , Ufuk Topcu , Andrew Lamperski

A runtime assurance system (RTA) for a given plant enables the exercise of an untrusted or experimental controller while assuring safety with a backup (or safety) controller. The relevant computational design problem is to create a logic…

Systems and Control · Electrical Eng. & Systems 2023-10-09 Kristina Miller , Christopher K. Zeitler , William Shen , Kerianne Hobbs , Sayan Mitra , John Schierman , Mahesh Viswanathan

Reachable set computation is an important tool for analyzing control systems. Simulating a control system can show general trends, but a formal tool like reachability analysis can provide guarantees of correctness. Reachability analysis for…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Chelsea Sidrane , Jana Tumova

This paper investigates the decidability of opacity in timed automata (TA), a property that has been proven to be undecidable in general. First, we address a theoretical gap in recent work by J. An et al. (FM 2024) by providing necessary…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Weilin Deng , Daowen Qiu , Jingkai Yang

A recent result of Haase et al. has shown that reachability in two-clock timed automata is log-space equivalent to reachability in bounded one-counter automata. We show that reachability in bounded one-counter automata is PSPACE-complete.

Formal Languages and Automata Theory · Computer Science 2020-01-15 John Fearnley , Marcin Jurdziński

Autonomous control systems use various sensors to decrease the amount of uncertainty under which they operate. While providing partial observation of the current state of the system, sensors require resources such as energy, time and…

Logic in Computer Science · Computer Science 2016-02-29 Eva Tesarova , Maria Svorenova , Jiri Barnat , Ivana Cerna

In this paper we review algorithms for checking diagnosability of discrete-event systems and timed automata. We point out that the diagnosability problems in both cases reduce to the emptiness problem for (timed) B\"uchi automata. Moreover,…

Logic in Computer Science · Computer Science 2016-11-17 Franck Cassez

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

We study reachability games on recursive timed automata (RTA) that generalize Alur-Dill timed automata with recursive procedure invocation mechanism similar to recursive state machines. It is known that deciding the winner in reachability…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Shankara Narayanan Krishna , Lakshmi Manasa , Ashutosh Trivedi

Timed pushdown automata (TPDA) are an expressive formalism combining recursion with a rich logic of timing constraints. We prove that reachability relations of TPDA are expressible in linear arithmetic, a rich logic generalising Presburger…

Formal Languages and Automata Theory · Computer Science 2021-01-01 Lorenzo Clemente , Sławomir Lasota

We give a new proof of the result of Comon and Jurski that the binary reachability relation of a timed automaton is definable in linear arithmetic.

Formal Languages and Automata Theory · Computer Science 2019-03-26 Martin Fränzle , Karin Quaas , Mahsa Shirmohammadi , James Worrell

We propose an automata-theoretic approach for reinforcement learning (RL) under complex spatio-temporal constraints with time windows. The problem is formulated using a Markov decision process under a bounded temporal logic constraint.…

Artificial Intelligence · Computer Science 2023-08-01 Xiaoshan Lin , Abbasali Koochakzadeh , Yasin Yazicioglu , Derya Aksaray

Multi-priced timed automata (MPTA) are timed automata with observer variables whose derivatives can change from one location to another. Observers are write-only variables, that is, they do not affect the control flow of the automaton; thus…

Formal Languages and Automata Theory · Computer Science 2024-07-26 Andrew Scoones , Mahsa Shirmohammadi , James Worrell