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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

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 investigate a zone based approach for the reachability problem in timed automata. The challenge is to alleviate the size explosion of the search space when considering networks of timed automata working in parallel. In the timed setting…

Logic in Computer Science · Computer Science 2019-07-05 R. Govind , Frédéric Herbreteau , B. Srivathsan , Igor Walukiewicz

A popular method for solving reachability in timed automata proceeds by enumerating reachable sets of valuations represented as zones. A na\"ive enumeration of zones does not terminate. Various termination mechanisms have been studied over…

Formal Languages and Automata Theory · Computer Science 2019-04-19 Paul Gastin , Sayan Mukherjee , B Srivathsan

We propose a new abstract formalism for probabilistic timed systems, Parametric Interval Probabilistic Timed Automata, based on an extension of Parametric Timed Automata and Interval Markov Chains. In this context, we consider the…

Formal Languages and Automata Theory · Computer Science 2019-06-13 Étienne André , Benoît Delahaye , Paulin Fournier

Timed automata (TAs) are an efficient formalism to model and verify systems with hard timing constraints, and concurrency. While TAs assume exact timing constants with infinite precision, parametric TAs (PTAs) leverage this limitation and…

Formal Languages and Automata Theory · Computer Science 2022-06-08 Johan Arcile , Étienne André

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 automata (TA) is used for modeling systems with timing aspects. A TA extends a finite automaton with a set of real valued variables called clocks, that measure the time and constraints over the clocks guard the transitions. A…

Formal Languages and Automata Theory · Computer Science 2021-04-20 Ebru Aydin Gol

The reachability problem for timed automata asks if there exists a path from an initial state to a target state. The standard solution to this problem involves computing the zone graph of the automaton, which in principle could be infinite.…

Logic in Computer Science · Computer Science 2011-12-30 Frédéric Herbreteau , Dileep Kini , B. Srivathsan , Igor Walukiewicz

Probabilistic timed automata (PTAs) are timed automata (TAs) extended with discrete probability distributions.They serve as a mathematical model for a wide range of applications that involve both stochastic and timed behaviours. In this…

Formal Languages and Automata Theory · Computer Science 2018-06-14 Hongfei Fu , Yi Li , Jianlin Li , Lijun Zhang

We consider the reachability problem for timed automata having diagonal constraints (like x - y < 5) as guards in transitions. The best algorithms for timed automata proceed by enumerating reachable sets of its configurations, stored in the…

Logic in Computer Science · Computer Science 2018-06-29 Paul Gastin , Sayan Mukherjee , B Srivathsan

Timed automata have been introduced by Rajeev Alur and David Dill in the early 90's. In the last decades, timed automata have become the de facto model for the verification of real-time systems. Algorithms for timed automata are based on…

Logic in Computer Science · Computer Science 2022-07-18 Patricia Bouyer , Paul Gastin , Frédéric Herbreteau , Ocan Sankur , B. Srivathsan

In this paper, we consider a model of generalized timed automata (GTA) with two kinds of clocks, history and future, that can express many timed features succinctly, including timed automata, event-clock automata with and without diagonal…

Formal Languages and Automata Theory · Computer Science 2024-03-19 S Akshay , Paul Gastin , R Govind , Aniruddha R Joshi , B Srivathsan

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

Deterministic timed automata are strictly less expressive than their non-deterministic counterparts, which are again less expressive than those with silent transitions. As a consequence, timed automata are in general non-determinizable.…

Formal Languages and Automata Theory · Computer Science 2015-08-17 Florian Lorber , Amnon Rosenmann , Dejan Nickovic , Bernhard Aichernig

Event-clock automata (ECA) are a well-known semantic subclass of timed automata (TA) which enjoy admirable theoretical properties, e.g., determinizability, and are practically useful to capture timed specifications. However, unlike for…

Formal Languages and Automata Theory · Computer Science 2024-08-07 S Akshay , Paul Gastin , R Govind , B Srivathsan

Updatable timed automata (UTA) are extensions of classic timed automata that allow special updates to clock variables, like x:= x - 1, x := y + 2, etc., on transitions. Reachability for UTA is undecidable in general. Various subclasses with…

Logic in Computer Science · Computer Science 2020-09-29 Paul Gastin , Sayan Mukherjee , B Srivathsan

Timed automata are a convenient mathematical model for modelling and reasoning about real-time systems. While they provide a powerful way of representing timing aspects of such systems, timed automata assume arbitrary precision and…

Formal Languages and Automata Theory · Computer Science 2020-07-09 Emily Clement , Thierry Jéron , Nicolas Markey , David Mentré

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

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
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