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Characterisations theorems serve as important tools in model theory and can be used to assess and compare the expressive power of temporal languages used for the specification and verification of properties in formal methods. While complete…

Logic in Computer Science · Computer Science 2024-04-30 Massimo Benerecetti , Laura Bozzelli , Fabio Mogavero , Adriano Peron

Real-time safety metrics are important for the automated driving system (ADS) to assess the risk of driving situations and to assist the decision-making. Although a number of real-time safety metrics have been proposed in the literature,…

Robotics · Computer Science 2024-01-04 Xintao Yan , Shuo Feng , David J. LeBlanc , Carol Flannagan , Henry X. Liu

Recently there has been a great attention from the scientific community towards the use of the model-checking technique as a tool for test generation in the simulation field. This paper aims to provide a useful mean to get more insights…

Logic in Computer Science · Computer Science 2011-11-14 Margherita Napoli , Mimmo Parente

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

Stochastic models such as Continuous-Time Markov Chains (CTMC) and Stochastic Hybrid Automata (SHA) are powerful formalisms to model and to reason about the dynamics of biological systems, due to their ability to capture the stochasticity…

Logic in Computer Science · Computer Science 2013-09-05 Ezio Bartocci , Luca Bortolussi , Laura Nenzi , Guido Sanguinetti

We examine different generalizations of checking stack automata by allowing multiple input heads and multiple stacks, and characterize their computing power in terms of two-way multi-head finite automata and space-bounded Turing machines.…

Formal Languages and Automata Theory · Computer Science 2022-12-05 Oscar H. Ibarra , Ian McQuillan

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

The imposition of real-time constraints on a parallel computing environment- specifically high-performance, cluster-computing systems- introduces a variety of challenges with respect to the formal verification of the system's timing…

Logic in Computer Science · Computer Science 2013-01-03 Peter Hui , Satish Chikkagoudar

The paper is concerned with defining the electrical signals and their models. The delays are discussed, the asynchronous automata - which are the models of the asynchronous circuits - and the examples of the clock generator and of the R-S…

Logic in Computer Science · Computer Science 2007-05-23 Serban E. Vlad

Hyperproperties have received increasing attention in the last decade due to their importance e.g. for security analyses. Past approaches have focussed on synchronous analyses, i.e. techniques in which different paths are compared…

Logic in Computer Science · Computer Science 2020-10-23 Jens Oliver Gutsfeld , Markus Müller-Olm , Christoph Ohrem

Timed languages contain sequences of discrete events ("letters'') separated by real-valued delays, they can be recognized by timed automata, and represent behaviors of various real-time systems. The notion of bandwidth of a timed language…

Formal Languages and Automata Theory · Computer Science 2023-10-04 Eugene Asarin , Aldric Degorre , Catalin Dima , Bernardo Jacobo Inclan

In this paper we review algorithms for checking diagnosability of discrete-event systems and timed automata. We point out that the diagnosability problems in both cases reduce to the emptiness problem for (timed) B\"uchi automata. Moreover,…

Logic in Computer Science · Computer Science 2016-11-17 Franck Cassez

We consider the problem of approximating the probability mass of the set of timed paths under a continuous-time Markov chain (CTMC) that are accepted by a deterministic timed automaton (DTA). As opposed to several existing works on this…

Systems and Control · Computer Science 2013-02-04 Hongfei Fu

We study decidability of verification problems for timed automata extended with unbounded discrete data structures. More detailed, we extend timed automata with a pushdown stack. In this way, we obtain a strong model that may for instance…

Logic in Computer Science · Computer Science 2017-01-11 Karin Quaas

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

Debugging complex systems is a crucial yet time-consuming task. This paper presents the use of automata learning and testing techniques to obtain concise and informative bug descriptions. We introduce the concepts of Failure Explanations…

Software Engineering · Computer Science 2025-08-05 Tom Yaacov , Gera Weiss , Gal Amram , Avi Hayoun

In this paper we study monitoring of real-time systems with respect to properties expressed either in Metric Interval Temporal Logic or as Timed B\"uchi Automata. We offer efficient symbolic online monitoring algorithms in a number of…

Formal Languages and Automata Theory · Computer Science 2025-09-30 Thomas Møller Grosen , Sean Kauffman , Kim Guldstrand Larsen , Martin Zimmermann

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

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

Intuitively, an (implementation) automata is simulated by a (specification) automata if every externally observable transition by the implementation automata can also be made by the specification automata. In this work, we present a…

Logic in Computer Science · Computer Science 2007-05-23 Farn Wang