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Existential rules are an expressive knowledge representation language mainly developed to query data. In the literature, they are often supposed to be in some normal form that simplifies technical developments. For instance, a common…

Artificial Intelligence · Computer Science 2022-06-08 David Carral , Lucas Larroque , Marie-Laure Mugnier , Michaël Thomazo

Most of the current studies on autonomous vehicle decision-making and control tasks based on reinforcement learning are conducted in simulated environments. The training and testing of these studies are carried out under rule-based…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Yuan Lin , Antai Xie , Xiao Liu

Concept bottleneck models have been successfully used for explainable machine learning by encoding information within the model with a set of human-defined concepts. In the context of human-assisted or autonomous driving, explainability…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Jessica Echterhoff , An Yan , Kyungtae Han , Amr Abdelraouf , Rohit Gupta , Julian McAuley

While artificial-intelligence-based methods suffer from lack of transparency, rule-based methods dominate in safety-critical systems. Yet, the latter cannot compete with the first ones in robustness to multiple requirements, for instance,…

Artificial Intelligence · Computer Science 2022-02-01 Andrei Aksjonov , Ville Kyrki

Traditional planning and control methods could fail to find a feasible trajectory for an autonomous vehicle to execute amongst dense traffic on roads. This is because the obstacle-free volume in spacetime is very small in these scenarios…

Robotics · Computer Science 2022-12-29 Dhruv Mauria Saxena , Sangjae Bae , Alireza Nakhaei , Kikuo Fujimura , Maxim Likhachev

Autoformalization, the process of transforming informal mathematical propositions into verifiable formal representations, is a foundational task in automated theorem proving, offering a new perspective on the use of mathematics in both…

Artificial Intelligence · Computer Science 2025-07-04 Ke Weng , Lun Du , Sirui Li , Wangyue Lu , Haozhe Sun , Hengyu Liu , Tiancheng Zhang

Autonomous systems are highly complex and present unique challenges for the application of formal methods. Autonomous systems act without human intervention, and are often embedded in a robotic system, so that they can interact with the…

Logic in Computer Science · Computer Science 2020-12-03 Matt Luckcuck , Marie Farrell

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

Training intelligent agents that can drive autonomously in various urban and highway scenarios has been a hot topic in the robotics society within the last decades. However, the diversity of driving environments in terms of road topology…

Robotics · Computer Science 2022-04-06 Behrad Toghi , Rodolfo Valiente , Ramtin Pedarsani , Yaser P. Fallah

As hardware and software systems have grown in complexity, formal methods have been indispensable tools for rigorously specifying acceptable behaviors, synthesizing programs to meet these specifications, and validating the correctness of…

Robotics · Computer Science 2026-02-10 Anastasios Manganaris , Vittorio Giammarino , Ahmed H. Qureshi , Suresh Jagannathan

This paper addresses the current lack of a unified formal framework in machine learning theory, as well as the absence of robust theoretical foundations for interpretability and ethical safety assurance. We first construct a formal…

Logic in Computer Science · Computer Science 2025-11-11 Jianfeng Xu

Reinforcement learning (RL) is a popular approach for robotic path planning in uncertain environments. However, the control policies trained for an RL agent crucially depend on user-defined, state-based reward functions. Poorly designed…

Artificial Intelligence · Computer Science 2024-12-05 Anand Balakrishnan , Stefan Jakšić , Edgar A. Aguilar , Dejan Ničković , Jyotirmoy V. Deshmukh

To ensure safe driving in dynamic environments, autonomous vehicles should possess the capability to accurately predict lane change intentions of surrounding vehicles in advance and forecast their future trajectories. Existing motion…

Artificial Intelligence · Computer Science 2026-01-19 Mingxing Peng , Xusen Guo , Xianda Chen , Meixin Zhu , Kehua Chen

In order to work with mathematical content in computer systems, it is necessary to represent it in formal languages. Ideally, these are supported by tools that verify the correctness of the content, allow computing with it, and produce…

Logic in Computer Science · Computer Science 2020-05-27 Cezary Kaliszyk , Florian Rabe

Formal language techniques have been used in the past to study autonomous dynamical systems. However, for controlled systems, new features are needed to distinguish between information generated by the system and input control. We show how…

Computation and Language · Computer Science 2007-05-23 J. F. Martins , J. A. Dente , A. J. Pires , R. Vilela Mendes

Trajectory planning in autonomous driving is highly dependent on predicting the emergent behavior of other road users. Learning-based methods are currently showing impressive results in simulation-based challenges, with transformer-based…

Machine Learning · Computer Science 2024-08-08 Lars Ullrich , Alex McMaster , Knut Graichen

The equation of motion of a general class of macroscopic traffic flow models is linearized around a steady uniform flow. A closed-form solution of a boundary-initial value problem is obtained, and it is used to describe several phenomena.…

Physics and Society · Physics 2015-04-10 Tal Cohen , Rohan Abeyaratne

Motivated by the recent interest in formal methods-based control for dynamic robots, we discuss the applicability of prescribed performance control to nonlinear systems subject to signal temporal logic specifications. Prescribed performance…

Optimization and Control · Mathematics 2017-09-20 Lars Lindemann , Christos K. Verginis , Dimos V. Dimarogonas

Generating realistic simulations is critical for autonomous system applications such as self-driving and human-robot interactions. However, driving simulators nowadays still have difficulty in generating controllable, diverse, and…

Robotics · Computer Science 2025-03-06 Yue Meng , Chuchu fan

Most existing traffic sign-related works are dedicated to detecting and recognizing part of traffic signs individually, which fails to analyze the global semantic logic among signs and may convey inaccurate traffic instruction. Following…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Chuang Yang , Kai Zhuang , Mulin Chen , Haozhao Ma , Xu Han , Tao Han , Changxing Guo , Han Han , Bingxuan Zhao , Qi Wang
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