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We propose a signal temporal logic (STL)-based framework that rigorously verifies the feasibility of a mission described in STL and synthesizes control to safely execute it. The proposed framework ensures safe and reliable operation through…

Systems and Control · Electrical Eng. & Systems 2026-02-27 Joonwon Choi , Kartik Anand Pant , Youngim Nam , Henry Hellmann , Karthik Nune , Inseok Hwang

We show that the regular separability problem of VASS reachability languages is decidable and $\mathbf{F}_{\omega}$-complete. At the heart of our decision procedure are doubly-marked graph transition sequences, a new proof object that…

Formal Languages and Automata Theory · Computer Science 2025-08-12 Eren Keskin , Roland Meyer

We synthesize and unify notions of regularity, both of individual sets and of collections of sets, as they appear in the convergence theory of projection methods for consistent feasibility problems. Several new characterizations of…

Optimization and Control · Mathematics 2018-05-15 Alexander Y. Kruger , D. Russell Luke , Nguyen H. Thao

This paper aims to enhance the computational efficiency of safety verification of neural network control systems by developing a guaranteed neural network model reduction method. First, a concept of model reduction precision is proposed to…

Machine Learning · Computer Science 2023-01-19 Weiming Xiang , Zhongzhu Shao

Model checking is a proven approach for checking whether the behavior model of a safety-critical system fulfills safety properties that are stated as LTL formulas.We propose rules for generating such LTL formulas automatically based on the…

Software Engineering · Computer Science 2024-04-08 Jette Petzold , Reinhard von Hanxleden

The arising application of neural networks (NN) in robotic systems has driven the development of safety verification methods for neural network dynamical systems (NNDS). Recursive techniques for reachability analysis of dynamical systems in…

Systems and Control · Electrical Eng. & Systems 2022-10-25 Shaoru Chen , Victor M. Preciado , Mahyar Fazlyab

Vector addition system with states is an ubiquitous model of computation with extensive applications in computer science. The reachability problem for vector addition systems is central since many other problems reduce to that question. The…

Logic in Computer Science · Computer Science 2020-07-20 Jérôme Leroux , Grégoire Sutre

State-of-the-art text simplification (TS) systems adopt end-to-end neural network models to directly generate the simplified version of the input text, and usually function as a blackbox. Moreover, TS is usually treated as an all-purpose…

Computation and Language · Computer Science 2022-12-21 Yu Qiao , Xiaofei Li , Daniel Wiechmann , Elma Kerz

We present a general framework for modelling and verifying epistemic properties over parameterized multi-agent systems that communicate by truthful public announcements. In our framework, the number of agents or the amount of certain…

Formal Languages and Automata Theory · Computer Science 2021-03-10 Daniel Stan , Anthony Widjaja Lin

A regular realizability (RR) problem is testing nonemptiness of intersection of some fixed language (filter) with given regular language. We study here complexity of RR problems. It appears that for any language L there exists RR problem…

Computational Complexity · Computer Science 2013-01-01 Mikhail N. Vyalyi

In this paper we describe a new tool, SReach, which solves probabilistic bounded reachability problems for two classes of stochastic hybrid systems. The first one is (nonlinear) hybrid automata with parametric uncertainty. The second one is…

Formal Languages and Automata Theory · Computer Science 2014-10-28 Qinsi Wang , Paolo Zuliani , Soonho Kong , Sicun Gao , Edmund M. Clarke

We consider the problem of verifying safety for a pair of identical integrator agents in continuous time with compact set-valued input uncertainties. We encode this verification problem as that of certifying or falsifying the intersection…

Optimization and Control · Mathematics 2022-05-19 Shadi Haddad , Abhishek Halder

Neural networks (NNs) are increasingly applied in safety-critical systems such as autonomous vehicles. However, they are fragile and are often ill-behaved. Consequently, their behaviors should undergo rigorous guarantees before deployment…

Artificial Intelligence · Computer Science 2022-10-11 Zhen Liang , Dejin Ren , Wanwei Liu , Ji Wang , Wenjing Yang , Bai Xue

In this paper, we study the robustness of safety properties of a linear dynamical system with respect to model uncertainties. Our paper involves three parts. In the first part, we provide symbolic (analytical) and numerical (representation…

Systems and Control · Electrical Eng. & Systems 2021-09-17 Bineet Ghosh , Parasara Sridhar Duggirala

The main objective of this article is to develop a matrix pencil approach for the study of the controllability and reachability of a class of linear singular discrete time systems. The description equation of a practical system may be…

Optimization and Control · Mathematics 2014-06-06 Charalambos P. Kontzalis , Grigoris Kalogeropoulos

Autonomous cyber-physical systems (CPS) rely on the correct operation of numerous components, with state-of-the-art methods relying on machine learning (ML) and artificial intelligence (AI) components in various stages of sensing and…

Systems and Control · Computer Science 2018-05-28 Weiming Xiang , Taylor T. Johnson

We present CLTLB(D), an extension of PLTLB (PLTL with both past and future operators) augmented with atomic formulae built over a constraint system D. Even for decidable constraint systems, satisfiability and Model Checking problem of such…

Logic in Computer Science · Computer Science 2010-04-21 Marcello M. Bersani , Achille Frigeri , Angelo Morzenti , Matteo Pradella , Matteo Rossi , Pierluigi San Pietro

We investigate regular realizability (RR) problems, which are the problems of verifying whether intersection of a regular language -- the input of the problem -- and fixed language called filter is non-empty. We consider two kind of…

Formal Languages and Automata Theory · Computer Science 2015-03-20 Alexander A. Rubtsov

We study the computation of lower and upper probabilities of hitting a target set of states for imprecise Markov chains, where transition uncertainty is modelled by a convex set of transition matrices. In the precise case, hitting…

Probability · Mathematics 2026-03-18 Marco Sangalli , Erik Quaeghebeur , Thomas Krak

This paper presents Verisig, a hybrid system approach to verifying safety properties of closed-loop systems using neural networks as controllers. Although techniques exist for verifying input/output properties of the neural network itself,…

Systems and Control · Computer Science 2018-11-06 Radoslav Ivanov , James Weimer , Rajeev Alur , George J. Pappas , Insup Lee