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In this paper, we develop a novel logic-based approach to detecting high-level temporally extended events from timestamped data and background knowledge. Our framework employs logical rules to capture existence and termination conditions…

Artificial Intelligence · Computer Science 2026-04-24 Yvon K. Awuklu , Meghyn Bienvenu , Katsumi Inoue , Vianney Jouhet , Fleur Mougin

This paper studies the problem of event-triggered impulsive control for discrete-time systems. A novel periodic event-triggering scheme with two tunable parameters is presented to determine the moments of updating impulsive control signals…

Optimization and Control · Mathematics 2023-04-28 Kexue Zhang , Elena Braverman

In this paper, we consider the problem of controlling a dynamical system such that its trajectories satisfy a temporal logic property in a given amount of time. We focus on multi-affine systems and specifications given as syntactically…

Systems and Control · Computer Science 2012-03-27 Ebru Aydin Gol , Calin Belta

The expanding cellular automata (XCA) variant of cellular automata is investigated and characterized from a complexity-theoretical standpoint. An XCA is a one-dimensional cellular automaton which can dynamically create new cells between…

Computational Complexity · Computer Science 2021-02-05 Augusto Modanese

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 introduce the notion of adaptive synchronisation for pushdown automata, in which there is an external observer who has no knowledge about the current state of the pushdown automaton, but can observe the contents of the stack. The…

Formal Languages and Automata Theory · Computer Science 2021-02-16 A. R. Balasubramanian , K. S. Thejaswini

Autonomous critical systems, such as satellites and space rovers, must be able to detect the occurrence of faults in order to ensure correct operation. This task is carried out by Fault Detection and Identification (FDI) components, that…

Logic in Computer Science · Computer Science 2019-03-14 Marco Bozzano , Alessandro Cimatti , Marco Gario , Stefano Tonetta

We investigate the constrained synchronization problem for weakly acyclic, or partially ordered, input automata. We show that, for input automata of this type, the problem is always in NP. Furthermore, we give a full classification of the…

Formal Languages and Automata Theory · Computer Science 2021-08-17 Stefan Hoffmann

We consider Pareto analysis of reachable states of multi-priced timed automata (MPTA): timed automata equipped with multiple observers that keep track of costs (to be minimised) and rewards (to be maximised) along a computation. Each…

Logic in Computer Science · Computer Science 2018-05-16 Martin Fränzle , Mahsa Shirmohammadi , Mani Swaminathan , James Worrell

In this paper, in discrete-event systems modeled by finite-state automata (FSAs), we show new thinking on the tools of detector and concurrent composition and derive two new algorithms for verifying strong periodic detectability (SPD)…

Optimization and Control · Mathematics 2021-09-21 Kuize Zhang

Among notions of detectability for a discrete-event system (DES), strong detectability implies that after a finite number of observations to every output/label sequence generated by the DES, the current state can be uniquely determined.…

Optimization and Control · Mathematics 2019-10-31 Kuize Zhang , Alessandro Giua

A major open question in the study of synchronization of coupled oscillators is to find necessary and sufficient condition for a system to synchronize on a given family of graphs. This is a difficult question that requires to understand…

Combinatorics · Mathematics 2023-03-08 Hanbaek Lyu

Parametric timed automata (PTA) extend timed automata with unknown constants ("parameters"), at the price of undecidability of most interesting problems. The (untimed) language preservation problem ("given a parameter valuation, can we find…

Formal Languages and Automata Theory · Computer Science 2018-12-24 Étienne André , Shang-Wei Lin

Reachability for piecewise affine systems is known to be undecidable, starting from dimension $2$. In this paper we investigate the exact complexity of several decidable variants of reachability and control questions for piecewise affine…

Computational Complexity · Computer Science 2017-01-18 Hugo Bazille , Olivier Bournez , Walid Gomaa , Amaury Pouly

We propose a functional accelerated failure time model to characterize effects of both functional and scalar covariates on the time to event of interest, and provide regularity conditions to guarantee model identifiability. For efficient…

Methodology · Statistics 2024-02-09 Changyu Liu , Wen Su , Kin-Yat Liu , Guosheng Yin , Xingqiu Zhao

Automata expressiveness is an essential feature in understanding which of the formalisms available should be chosen for modelling a particular problem. Probabilistic and stochastic automata are suitable for modelling systems exhibiting…

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

This paper investigates the autonomous synchronization problem for discrete-time heterogeneous multiagent systems. The synchronization problem is transformed into the asymptotic decoupling problem of stable modes in a class of discrete-time…

Multiagent Systems · Computer Science 2026-05-07 Wei Hu , Quanyi Liang

This article presents a new characterization of controllability and regional controllability of Deterministic Cellular Automata (CA for short). It focuses on analyzing these problems within the framework of control theory, which have been…

Dynamical Systems · Mathematics 2025-01-07 Sara Dridi

We characterize the complexity of the safety verification problem for parameterized systems consisting of a leader process and arbitrarily many anonymous and identical contributors. Processes communicate through a shared, bounded-value…

Logic in Computer Science · Computer Science 2015-05-26 Javier Esparza , Pierre Ganty , Rupak Majumdar

We show the surprising result that the cutpoint isolation problem is decidable for Probabilistic Finite Automata (PFA) where input words are taken from a letter-bounded context-free language. A context-free language $\mathcal{L}$ is…

Formal Languages and Automata Theory · Computer Science 2020-05-15 Paul C. Bell , Pavel Semukhin
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