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In this paper, we consider partially observable timed automata endowed with a single clock. A time interval is associated with each transition specifying at which clock values it may occur. In addition, a resetting condition associated to a…

Formal Languages and Automata Theory · Computer Science 2024-09-10 Chao Gao , Dimitri Lefebvre , Carla Seatzu , Zhiwu Li , Alessandro Giua

We present an approach to approximate reachable sets for linear systems with bounded L-infinity controls in finite time. Our first approach investigates the boundaries of these sets and reveals an exact characterization for single-input,…

Optimization and Control · Mathematics 2026-03-18 Steven Nguyen , Jorge Cortés , Boris Kramer

We explore the notion of history-determinism in the context of timed automata (TA) over infinite timed words. History-deterministic (HD) automata are those in which nondeterminism can be resolved on the fly, based on the run constructed…

Formal Languages and Automata Theory · Computer Science 2024-10-16 Sougata Bose , Thomas A. Henzinger , Karoliina Lehtinen , Sven Schewe , Patrick Totzke

We define the class of explorable automata on finite or infinite words. This is a generalization of History-Deterministic (HD) automata, where this time non-deterministic choices can be resolved by building finitely many simultaneous runs…

Formal Languages and Automata Theory · Computer Science 2025-11-26 Emile Hazard , Olivier Idir , Denis Kuperberg

Given a member A of the class of non-deterministic timed automata with silent transitions (eNTA), we effectively compute its timestamp: the set of all pairs (time value, action) of all observable timed traces of A, a generalization of the…

Formal Languages and Automata Theory · Computer Science 2019-08-19 Amnon Rosenmann

We study the verification of a finite continuous-time Markov chain (CTMC) C against a linear real-time specification given as a deterministic timed automaton (DTA) A with finite or Muller acceptance conditions. The central question that we…

Logic in Computer Science · Computer Science 2015-07-01 Taolue Chen , Tingting Han , Joost-Pieter Katoen , Alexandru Mereacre

A deterministic finite automaton in which every non-empty set of states occurs as the image of the whole state set under the action of a suitable input word is called completely reachable. We characterize such automata in terms of graphs…

Formal Languages and Automata Theory · Computer Science 2022-01-14 Evgeniya A. Bondar , David Casas , Mikhail V. Volkov

This paper develops an assume-guarantee (AG) framework for the compositional verification of probabilistic automata (PAs) with uncertain transition probabilities. We study parametric probabilistic automata (pPAs), where probabilities are…

Logic in Computer Science · Computer Science 2026-04-01 Hannah Mertens , Tim Quatmann , Joost-Pieter Katoen

A constant-rate multi-mode system is a hybrid system that can switch freely among a finite set of modes, and whose dynamics is specified by a finite number of real-valued variables with mode-dependent constant rates. We introduce and study…

Optimization and Control · Mathematics 2016-10-19 Fabio Somenzi , Behrouz Touri , Ashutosh Trivedi

We consider a notion of non-interference for timed automata (TAs) that allows to quantify the frequency of an attack; that is, we infer values of the minimal time between two consecutive actions of the attacker, so that (s)he disturbs the…

Formal Languages and Automata Theory · Computer Science 2020-10-20 Étienne André , Aleksander Kryukov

We study the Unitary Hitting Time Problem (UHTP) in quantum dynamics. Given computably described pure states |a>, |b> and a time-dependent unitary U(t), define the hitting time as the infimum of t > 0 such that the fidelity between U(t)|a>…

Quantum Physics · Physics 2026-04-13 Katsufumi Matsuura

This article presents the complexity of reachability decision problems for parametric Markov decision processes (pMDPs), an extension to Markov decision processes (MDPs) where transitions probabilities are described by polynomials over a…

Logic in Computer Science · Computer Science 2020-09-29 Sebastian Junges , Joost-Pieter Katoen , Guillermo A. Pérez , Tobias Winkler

We investigate the decidability and complexity status of model-checking problems on unlabelled reachability graphs of Petri nets by considering first-order and modal languages without labels on transitions or atomic propositions on…

Logic in Computer Science · Computer Science 2015-07-01 Philippe Darondeau , Stephane Demri , Roland Meyer , Christophe Morvan

Parikh (tree) automata are an expressive and yet computationally well-behaved extension of finite automata -- they allow to increment a number of counters during their computations, which are finally tested by a semilinear constraint. In…

Formal Languages and Automata Theory · Computer Science 2024-09-12 Luisa Herrmann , Johannes Osterholzer

We study computational questions related with the stability of discrete-time linear switching systems with switching sequences constrained by an automaton. We first present a decidable sufficient condition for their boundedness when the…

Dynamical Systems · Mathematics 2015-12-16 Matthew Philippe , Gilles Millerioux , Raphaël M. Jungers

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

Lossy channel systems (LCSs) are systems of finite state automata that communicate via unreliable unbounded fifo channels. In order to circumvent the undecidability of model checking for nondeterministic LCSs, probabilistic models have been…

Logic in Computer Science · Computer Science 2012-03-19 Christel Baier , Nathalie Bertrand , Philippe Schnoebelen

Multi-stack pushdown systems are a well-studied model of concurrent computation using threads with first-order procedure calls. While, in general, reachability is undecidable, there are numerous restrictions on stack behaviour that lead to…

Formal Languages and Automata Theory · Computer Science 2013-10-11 Matthew Hague

Given the versatility of timed automata a huge body of work has evolved that considers extensions of timed automata. One extension that has received a lot of interest is timed automata with a, possibly unbounded, stack, also called the…

Formal Languages and Automata Theory · Computer Science 2021-07-20 S. Akshay , Paul Gastin , Karthik R Prakash

We present a new language semantics for real-time concurrency. Its operational models are higher-dimensional timed automata (HDTAs), a generalization of both higher-dimensional automata and timed automata. In real-time concurrent systems,…

Formal Languages and Automata Theory · Computer Science 2025-02-06 Amazigh Amrane , Hugo Bazille , Emily Clement , Uli Fahrenberg , Philipp Schlehuber-Caissier