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Parametric timed automata are a powerful formalism for reasoning on concurrent real-time systems with unknown or uncertain timing constants. Reducing their state space is a significant way to reduce the inherently large analysis times. We…

Formal Languages and Automata Theory · Computer Science 2022-12-12 Étienne André , Dylan Marinho , Laure Petrucci , Jaco van de Pol

A specification theory combines notions of specifications and implementations with a satisfaction relation, a refinement relation and a set of operators supporting stepwise design. We develop a complete specification framework for real-time…

Formal Languages and Automata Theory · Computer Science 2023-07-14 Martijn A. Goorden , Kim G. Larsen , Axel Legay , Florian Lorber , Ulrik Nyman , Andrzej Wasowski

In this work we extend the Emerson and Kahlon's cutoff theorems for process skeletons with conjunctive guards to Parameterized Networks of Timed Automata, i.e. systems obtained by an \emph{apriori} unknown number of Timed Automata…

Logic in Computer Science · Computer Science 2016-05-20 Luca Spalazzi , Francesco Spegni

Multi-priced timed automata (MPTA) are timed automata with observer variables whose derivatives can change from one location to another. Observers are write-only variables, that is, they do not affect the control flow of the automaton; thus…

Formal Languages and Automata Theory · Computer Science 2024-07-26 Andrew Scoones , Mahsa Shirmohammadi , James Worrell

Parametric timed automata (PTA) are an extension of timed automata in which clocks can be compared against parameters. The reachability problem asks for the existence of an assignment of the parameters to the non-negative integers such that…

Formal Languages and Automata Theory · Computer Science 2020-11-17 Stefan Göller , Mathieu Hilaire

Cyber-physical systems (CPSes), such as autonomous vehicles, use sophisticated components like ML-based controllers. It is difficult to provide evidence about the safe functioning of such components. To overcome this problem, Runtime…

Logic in Computer Science · Computer Science 2023-04-25 Vivek Nigam , Carolyn Talcott

In this paper, we propose a procedure that given an integer reset timed automaton (IRTA) ${\cal A}$, produces a language equivalent deterministic one clock IRTA ${\cal B}$ whose size is at most doubly exponential in the size of ${\cal A}$.…

Formal Languages and Automata Theory · Computer Science 2010-01-11 Lakshmi Manasa , Krishna. S

Context-free grammars (CFGs) are the de-facto formalism for declaratively describing concrete syntax for programming languages and generating parsers. One of the major challenges in defining a desired syntax is ruling out all possible…

Programming Languages · Computer Science 2026-02-23 Yunjeong Lee , Gokul Rajiv , Ilya Sergey

Probabilistic pushdown automata (pPDA) are a standard operational model for programming languages involving discrete random choices and recursive procedures. Temporal properties are useful for specifying the chronological order of events…

Formal Languages and Automata Theory · Computer Science 2024-02-14 Tobias Winkler , Christina Gehnen , Joost-Pieter Katoen

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

We consider parameterized verification problems for networks of timed automata (TAs) based on different communication primitives. To this end, we first consider disjunctive timed networks (DTNs), i.e., networks of TAs that communicate via…

Formal Languages and Automata Theory · Computer Science 2025-10-13 Étienne André , Swen Jacobs , Shyam Lal Karra , Ocan Sankur

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

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

Networks of timed automata (NTA) are widely used to model distributed real-time systems. Quite often in the literature, the automata are allowed to share clocks, i.e. transitions of one automaton may be guarded by conditions on the value of…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Sandie Balaguer , Thomas Chatain

As autonomous systems become more prevalent in the real world, it is critical to ensure they operate safely. One approach is the use of Run Time Assurance (RTA), which is a real-time safety assurance technique that monitors a primary…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Kyle Dunlap , David van Wijk , Kerianne L. Hobbs

Accurate and up-to-date models describing the be- havior of software systems are seldom available in practice. To address this issue, software engineers may use specification mining techniques, which can automatically derive models that…

Software Engineering · Computer Science 2017-05-24 Fabrizio Pastore , Daniela Micucci , Leonardo Mariani

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

Verification is a critical process in the development of engineered systems. Through verification, engineers gain confidence in the correct functionality of the system before it is deployed into operation. Traditionally, verification…

Software Engineering · Computer Science 2021-09-27 Peng Xu , Alejandro Salado , Xinwei Deng

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

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