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We introduce a new formalism of higher-dimensional timed automata, based on van Glabbeek's higher-dimensional automata and Alur's timed automata. We prove that their reachability is PSPACE-complete and can be decided using zone-based…

Logic in Computer Science · Computer Science 2018-02-21 Uli Fahrenberg

Timed pushdown automata are pushdown automata extended with a finite set of real-valued clocks. Additionaly, each symbol in the stack is equipped with a value representing its age. The enabledness of a transition may depend on the values of…

Formal Languages and Automata Theory · Computer Science 2014-02-28 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Jari Stenman

This paper introduces a novel technique to decide the satisfiability of formulae written in the language of Linear Temporal Logic with Both future and past operators and atomic formulae belonging to constraint system D (CLTLB(D) for short).…

Logic in Computer Science · Computer Science 2014-02-12 Marcello M. Bersani , Achille Frigeri , Angelo Morzenti , Matteo Pradella , Matteo Rossi , Pierluigi San Pietro

The zone abstraction, widely adopted for its notable practical efficiency, is the de facto standard in the verification of Timed Automata (TA). Nonetheless, region-based abstractions have been shown to outperform zones in specific…

Formal Languages and Automata Theory · Computer Science 2026-02-18 Andrea Manini , Matteo Rossi , Pierluigi San Pietro

An infinite run of a timed automaton is Zeno if it spans only a finite amount of time. Such runs are considered unfeasible and hence it is important to detect them, or dually, find runs that are non-Zeno. Over the years important…

Logic in Computer Science · Computer Science 2015-07-01 Frédéric Herbreteau , B Srivathsan

The translation of Metric Interval Temporal Logic (MITL) to timed automata is a topic that has been extensively studied. A key challenge here is the conversion of future modalities into equivalent automata. Typical conversions equip the…

Formal Languages and Automata Theory · Computer Science 2025-07-08 S. Akshay , Paul Gastin , R. Govind , B. Srivathsan

We present abstraction-refinement algorithms for model checking safety properties of timed automata. The abstraction domain we consider abstracts away zones by restricting the set of clock constraints that can be used to define them, while…

Formal Languages and Automata Theory · Computer Science 2019-05-27 Victor Roussanaly , Ocan Sankur , Nicolas Markey

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

This paper proposes an algorithm to maximize reachability probabilities for rectangular automata with random clocks via a history-dependent prophetic scheduler. This model class incorporates time-induced nondeterminism on discrete behavior…

Formal Languages and Automata Theory · Computer Science 2023-05-05 Joanna Delicaris , Stefan Schupp , Erika Ábrahám , Anne Remke

We consider systems composed of an unbounded number of uniformly designed linear hybrid automata, whose dynamic behavior is determined by their relation to neighboring systems. We present a class of such systems and a class of safety…

Logic in Computer Science · Computer Science 2016-01-08 Werner Damm , Matthias Horbach , Viorica Sofronie-Stokkermans

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

In this paper, we consider the problem of controlling a dynamical system such that its trajectories satisfy a temporal logic property in a given amount of time. We focus on multi-affine systems and specifications given as syntactically…

Systems and Control · Computer Science 2012-03-27 Ebru Aydin Gol , Calin Belta

Timed automata are the formal model for real-time systems. Extensions with discrete probabilistic branching have been considered in the literature and successfully applied. Probabilistic timed automata (PTA) do require all branching…

Logic in Computer Science · Computer Science 2024-03-05 Darion Haase , Joost-Pieter Katoen

In this work, we study properties of deterministic finite-state automata with timers, a subclass of timed automata proposed by Vaandrager et al. as a candidate for an efficiently learnable timed model. We first study the complexity of the…

Formal Languages and Automata Theory · Computer Science 2024-03-04 Véronique Bruyère , Guillermo A. Pérez , Gaëtan Staquet , Frits W. Vaandrager

This paper presents the design of a novel distributed algorithm d-IRA for the reachability analysis of linear hybrid automata. Recent work on iterative relaxation abstraction (IRA) is leveraged to distribute the computational problem among…

Logic in Computer Science · Computer Science 2007-10-22 Sumit Kumar Jha

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

This paper studies an optimal control problem for a string of vehicles with safety requirements and finite-time specifications on the approach time to a target region. Our problem formulation is motivated by scenarios involving autonomous…

Optimization and Control · Mathematics 2017-07-14 Pavankumar Tallapragada , Jorge Cortes

Probabilistic timed automata are classical timed automata extended with discrete probability distributions over edges. We introduce clock-dependent probabilistic timed automata, a variant of probabilistic timed automata in which transition…

Logic in Computer Science · Computer Science 2017-07-17 Jeremy Sproston

Timed automata and register automata are well-known models of computation over timed and data words respectively. The former has clocks that allow to test the lapse of time between two events, whilst the latter includes registers that can…

Formal Languages and Automata Theory · Computer Science 2019-02-20 Diego Figueira , Piotr Hofman , Sławomir Lasota

The problem of inclusion of the language accepted by timed automaton $A$ (e.g., the implementation) in the language accepted by $B$ (e.g., the specification) is, in general, undecidable in the class of non-deterministic timed automata. In…

Formal Languages and Automata Theory · Computer Science 2019-09-24 Amnon Rosenmann