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We propose a timed and soft extension of Concurrent Constraint Programming. The time extension is based on the hypothesis of bounded asynchrony: the computation takes a bounded period of time and is measured by a discrete global clock.…

Programming Languages · Computer Science 2015-10-07 Stefano Bistarelli , Maurizio Gabbrielli , Maria Chiara Meo , Francesco Santini

We consider the parameter synthesis problem of parametric timed automata (PTAs). The problem is, given a PTA and a property, to compute the set of valuations of the parameters under which the resulting timed automaton satisfies the…

Systems and Control · Computer Science 2018-11-01 Liyun Dai , Bo Liu , Zhiming Liu , and

We study an expressive model of timed pushdown automata extended with modular and fractional clock constraints. We show that the binary reachability relation is effectively expressible in hybrid linear arithmetic with a rational and an…

Formal Languages and Automata Theory · Computer Science 2018-05-01 Lorenzo Clemente , Sławomir Lasota

Timed systems, such as timed automata, are usually analyzed using their operational semantics on timed words. The classical region abstraction for timed automata reduces them to (untimed) finite state automata with the same time-abstract…

Formal Languages and Automata Theory · Computer Science 2023-06-22 S. Akshay , Paul Gastin , Shankara Narayanan Krishna

Model checking for real-timed systems is a rich and diverse topic. Among the different logics considered, Metric Interval Temporal Logic (MITL) is a powerful and commonly used logic, which can succinctly encode many interesting timed…

Formal Languages and Automata Theory · Computer Science 2026-05-19 S. Akshay , Prerak Contractor , Paul Gastin , R. Govind , B. Srivathsan

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

We propose deterministic timed automata (DTA) as a model-independent language for specifying performance and dependability measures over continuous-time stochastic processes. Technically, these measures are defined as limit frequencies of…

Systems and Control · Computer Science 2015-03-17 Tomáš Brázdil , Jan Krčál , Jan Křetínský , Antonín Kučera , Vojtěch Řehák

Stochastic automata are a formal compositional model for concurrent stochastic timed systems, with general distributions and non-deterministic choices. Measures of interest are defined over schedulers that resolve the nondeterminism. In…

Logic in Computer Science · Computer Science 2017-10-17 Pedro R. D'Argenio , Marcus Gerhold , Arnd Hartmanns , Sean Sedwards

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

Probabilistic timed automata are an extension of timed automata with discrete probability distributions. We consider model-checking algorithms for the subclasses of probabilistic timed automata which have one or two clocks. Firstly, we show…

Logic in Computer Science · Computer Science 2019-03-14 Marcin Jurdzinski , Francois Laroussinie , Jeremy Sproston

Timed automata (TAs) are a common formalism for modeling timed systems. Bounded model checking (BMC) is a verification method that searches for runs violating a property using a SAT or SMT solver. MITL is a real-time extension of the linear…

Logic in Computer Science · Computer Science 2013-04-29 Roland Kindermann , Tommi Junttila , Ilkka Niemelä

Specifying properties can be challenging work. In this paper, we propose an automated approach to exemplify properties given in the form of automata extended with timing constraints and timing parameters, and that can also encode…

Formal Languages and Automata Theory · Computer Science 2022-06-08 Étienne André , Masaki Waga , Natsuki Urabe , Ichiro Hasuo

Markov automata (MAs) extend labelled transition systems with random delays and probabilistic branching. Action-labelled transitions are instantaneous and yield a distribution over states, whereas timed transitions impose a random delay…

Logic in Computer Science · Computer Science 2015-07-01 Dennis Guck , Hassan Hatefi , Holger Hermanns , Joost-Pieter Katoen , Mark Timmer

Temporal graphs represent graph evolution over time, and have been receiving considerable research attention. Work on expressing temporal graph patterns or discovering temporal motifs typically assumes relatively simple temporal…

Databases · Computer Science 2022-05-31 Amir Pouya Aghasadeghi , Jan Van den Bussche , Julia Stoyanovich

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

Model-based testing (MBT) derives test suites from a behavioural specification of the system under test. In practice, engineers favour simple models, such as labelled transition systems (LTSs). However, to deal with quiescence - the absence…

Formal Languages and Automata Theory · Computer Science 2025-07-25 Laura Brandán Briones , Marcus Gerhold , Petra van den Bos , Mariëlle Stoelinga

In this paper, we study thetime-bounded reachability problem for rectangular hybrid automata with non-negative rates (RHA+). This problem was recently shown to be decidable [Brihaye et al, ICALP11] (even though the unbounded reachability…

Logic in Computer Science · Computer Science 2012-11-07 Thomas Brihaye , Laurent Doyen , Gilles Geeraerts , Joël Ouaknine , Jean-François Raskin , James Worrell

Metric Interval Temporal Logic (MITL) is a well studied real-time, temporal logic that has decidable satisfiability and model checking problems. The decision procedures for MITL rely on the automata theoretic approach, where logic formulas…

Logic in Computer Science · Computer Science 2019-10-11 Nima Roohi , Mahesh Viswanathan

We are sometimes forced to use the Interrupted Time Series (ITS) design as an identification strategy for potential policy change, such as when we only have a single treated unit and no comparable controls. For example, with recent county-…

Methodology · Statistics 2020-02-17 Luke Miratrix

We consider previous models of Timed, Probabilistic and Stochastic Timed Automata, we introduce our model of Timed Automata with Polynomial Delay and we characterize the expressiveness of these models relative to each other.

Logic in Computer Science · Computer Science 2019-03-19 Valentin Bura , Tim French , Mark Reynolds
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