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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

Weighted timed automata have been defined in the early 2000's for modelling resource-consumption or -allocation problems in real-time systems. Optimal reachability is decidable in weighted timed automata, and a symbolic forward algorithm…

Logic in Computer Science · Computer Science 2016-02-02 Patricia Bouyer , Maximilien Colange , Nicolas Markey

We revisit a fundamental result in real-time verification, namely that the binary reachability relation between configurations of a given timed automaton is definable in linear arithmetic over the integers and reals. In this paper we give a…

Logic in Computer Science · Computer Science 2017-04-20 Karin Quaas , Mahsa Shirmohammadi , James Worrell

The subject of this paper is to study conformance checking for timed models, that is, process models that consider both the sequence of events in a process as well as the timestamps at which each event is recorded. Time-aware process mining…

Formal Languages and Automata Theory · Computer Science 2022-07-06 Thomas Chatain , Neha Rino

We study the computational complexity of various problems related to synchronization of weakly acyclic automata, a subclass of widely studied aperiodic automata. We provide upper and lower bounds on the length of a shortest word…

Formal Languages and Automata Theory · Computer Science 2017-12-08 Andrew Ryzhikov

A stochastic timed automaton is a purely stochastic process defined on a timed automaton, in which both delays and discrete choices are made randomly. We study the almost-sure model-checking problem for this model, that is, given a…

Logic in Computer Science · Computer Science 2015-07-01 Nathalie Bertrand , Patricia Bouyer , Thomas Brihaye , Quentin Menet , Christel Baier , Marcus Groesser , Marcin Jurdzinski

Motivated by the success of bounded model checking framework for finite state machines, Ouaknine and Worrell proposed a time-bounded theory of real-time verification by claiming that restriction to bounded-time recovers decidability for…

Logic in Computer Science · Computer Science 2014-08-18 Shankara Narayanan Krishna , Lakshmi Manasa , Ashutosh Trivedi

The paper presents a novel algorithm for computing best and worst case execution times (BCET/WCET) of timed automata models with cyclic behaviour. The algorithms can work on any arbitrary diagonal-free TA and can handle more cases than…

Formal Languages and Automata Theory · Computer Science 2016-11-01 Omar Al-Bataineh , Mark Reynolds , Tim French

We have improved an algorithm generating synchronizing automata with a large length of the shortest reset words. This has been done by refining some known results concerning bounds on the reset length. Our improvements make possible to…

Formal Languages and Automata Theory · Computer Science 2016-07-15 Andrzej Kisielewicz , Jakub Kowalski , Marek Szykuła

We study a generalisation of B\"uchi-Landweber games to the timed setting. The winning condition is specified by a non-deterministic timed automaton with epsilon transitions and only Player I can elapse time. We show that for fixed number…

Formal Languages and Automata Theory · Computer Science 2020-04-28 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

Timed automata (TAs) are an extension of finite automata that can measure and react to the passage of time, providing the ability to handle real-time constraints using clocks. In 2009, Franck Cassez showed that the timed opacity problem,…

Logic in Computer Science · Computer Science 2026-03-30 Étienne André , Sarah Dépernet , Engel Lefaucheux

We present an algorithm for active learning of deterministic timed automata with multiple clocks. The algorithm is within the querying framework of Angluin's $L^*$ algorithm and follows the idea proposed in existing work on the active…

Formal Languages and Automata Theory · Computer Science 2024-05-21 Yu Teng , Miaomiao Zhang , Jie An

The problem of model-checking hybrid systems is a long-time challenge in the scientific community. Most of the existing approaches and tools are either limited on the properties that they can verify, or restricted to simplified classes of…

Logic in Computer Science · Computer Science 2013-07-18 Davide Bresolin

Parametric timed automata are a powerful formalism for reasoning on concurrent real-time systems with unknown or uncertain timing constants. In order to test the efficiency of new algorithms, a fair set of benchmarks is required. We present…

Logic in Computer Science · Computer Science 2021-06-21 Étienne André , Dylan Marinho , Jaco van de Pol

There has been a growing interest in defining models of automata enriched with time. For instance, timed automata were introduced as automata extended with clocks. In this paper, we study models of timed finite state machines (TFSMs), i.e.,…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Davide Bresolin , Khaled El-Fakih , Tiziano Villa , Nina Yevtushenko

A new weak bisimulation semantics is defined for Markov automata that, in addition to abstracting from internal actions, sums up the expected values of consecutive exponentially distributed delays possibly intertwined with internal actions.…

Logic in Computer Science · Computer Science 2015-09-30 Alessandro Aldini , Marco Bernardo

Timed automata (TA) are a well-established formalism for specifying discrete-state/continuous-time behavior of time-critical reactive systems. Concerning the fundamental analysis problem of comparing a candidate implementation against a…

Formal Languages and Automata Theory · Computer Science 2020-09-17 Lars Luthmann , Hendrik Göttmann , Isabelle Bacher , Malte Lochau

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

Computations, where the number of results is much smaller than the input data and are produced through some sort of accumulation, are called Reductions. Reductions appear in many scientific applications. Usually, reductions admit an…

Programming Languages · Computer Science 2018-01-19 Nirmal Prajapati

Weak bisimilarity is a distribution-based equivalence notion for Markov automata. It has gained some popularity as the coarsest reasonable behavioural equivalence on Markov automata. This paper studies a strictly coarser notion: Late weak…

Formal Languages and Automata Theory · Computer Science 2014-01-15 Christian Eisentraut , Jens Chr. Godskesen , Holger Hermanns , Lei Song , Lijun Zhang