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We present semantic correctness proofs of automatic differentiation (AD). We consider a forward-mode AD method on a higher-order language with algebraic data types and we characterise it as the unique structure-preserving macro given a…

Programming Languages · Computer Science 2026-05-07 Mathieu Huot , Sam Staton , Matthijs Vákár

Ensuring the safety and reliability of Automated Driving Systems (ADS) remains a critical challenge, as traditional verification methods such as large-scale on-road testing are prohibitively costly and time-consuming.To address…

Software Engineering · Computer Science 2025-12-18 Ji Zhou , Yongqi Zhao , Yixian Hu , Hexuan Li , Zhengguo Gu , Nan Xu , Arno Eichberger

The automotive industry is experiencing a transition from assisted to highly automated driving. New concepts for validation of Automated Driving System (ADS) include amongst other a shift from a "technology based" approach to a "scenario…

Software Engineering · Computer Science 2023-02-02 Ilona Cieslik , Víctor J. Expósito Jiménez , Helmut Martin , Heiko Scharke , Hannes Schneider

Driver models play a vital role in developing and verifying autonomous vehicles (AVs). Previously, they are mainly applied in traffic flow simulation to model driver behavior. With the development of AVs, driver models attract much…

Robotics · Computer Science 2023-11-16 Cheng Wang , Fengwei Guo , Ruilin Yu , Luyao Wang , Yuxin Zhang

Formal methods provide remarkable tools allowing for high levels of confidence in the correctness of developments. Their use is therefore encouraged, when not required, for the development of systems in which safety or security is…

Logic in Computer Science · Computer Science 2009-02-24 Eric Jaeger , Thérèse Hardin

There is an increasing necessity to deploy autonomous systems in highly heterogeneous, dynamic environments, e.g. service robots in hospitals or autonomous cars on highways. Due to the uncertainty in these environments, the verification…

Software Engineering · Computer Science 2016-12-16 Adina Aniculaesei , Daniel Arnsberger , Falk Howar , Andreas Rausch

Nonlinear, adaptive, or otherwise complex control techniques are increasingly relied upon to ensure the safety of systems operating in uncertain environments. However, the nonlinearity of the resulting closed-loop system complicates…

Systems and Control · Computer Science 2018-01-17 John F. Quindlen , Ufuk Topcu , Girish Chowdhary , Jonathan P. How

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

We assume that autonomous or highly automated driving (AD) will be accompanied by tough assurance obligations exceeding the requirements of even recent revisions of ISO 26262 or SOTIF. Hence, automotive control and safety engineers have to…

Systems and Control · Computer Science 2017-09-11 Mario Gleirscher

Automated Driving Systems (ADSs) have seen rapid progress in recent years. To ensure the safety and reliability of these systems, extensive testings are being conducted before their future mass deployment. Testing the system on the road is…

Software Engineering · Computer Science 2021-12-03 Ziyuan Zhong , Yun Tang , Yuan Zhou , Vania de Oliveira Neves , Yang Liu , Baishakhi Ray

Despite the increasing testing operations of automated vehicles on public roads, media reports on incidents show that safety issues caused by automated driving systems persist to this day. Manufacturers face high development uncertainty…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Marvin Loba , Nayel Fabian Salem , Marcus Nolte , Andreas Dotzler , Dieter Ludwig , Markus Maurer

Safety validation of autonomous driving systems is extremely challenging due to the high risks and costs of real-world testing as well as the rarity and diversity of potential failures. To address these challenges, we train a denoising…

Robotics · Computer Science 2025-06-11 Juanran Wang , Marc R. Schlichting , Harrison Delecki , Mykel J. Kochenderfer

This paper explores the role and challenges of Artificial Intelligence (AI) algorithms, specifically AI-based software elements, in autonomous driving systems. These AI systems are fundamental in executing real-time critical functions in…

Artificial Intelligence · Computer Science 2024-03-01 Mandar Pitale , Alireza Abbaspour , Devesh Upadhyay

The paper proposes a method for the correct by design coordination of autonomous driving systems (ADS). It builds on previous results on collision avoidance policies and the modeling of ADS by combining descriptions of their static…

Multiagent Systems · Computer Science 2022-05-23 Marius Bozga , Joseph Sifakis

Frontier artificial intelligence (AI) systems present both benefits and risks to society. Safety cases - structured arguments supported by evidence - are one way to help ensure the safe development and deployment of these systems. Yet the…

Computers and Society · Computer Science 2024-12-24 Carmen Cârlan , Francesca Gomez , Yohan Mathew , Ketana Krishna , René King , Peter Gebauer , Ben R. Smith

Formal methods yet advantageous, face challenges towards wide acceptance and adoption in software development practices. The major reason being presumed complexity. The issue can be addressed by academia with a thoughtful plan of teaching…

Software Engineering · Computer Science 2019-06-05 Mansur Khazeev , Manuel Mazzara , Daniel De Carvalho , Hamna Aslam

Numerical stability is of great significance for discrete-time dynamic vehicle model. Among the unstable factors, low-speed singularity stands out as one of the most challenging issues, which arises from that the denominator of tire side…

Systems and Control · Electrical Eng. & Systems 2024-11-27 Guojian Zhan , Qiang Ge , Haoyu Gao , Yuming Yin , Bin Zhao , Shengbo Eben Li

Background/Context. The use of automated driving systems (ADSs) in the real world requires rigorous testing to ensure safety. To increase trust, ADSs should be tested on a large set of diverse road scenarios. Literature suggests that if a…

Software Engineering · Computer Science 2022-09-14 Stefan Klikovits , Vincenzo Riccio , Ezequiel Castellano , Ahmet Cetinkaya , Alessio Gambi , Paolo Arcaini

To build a smarter and safer city, a secure, efficient, and sustainable transportation system is a key requirement. The autonomous driving system (ADS) plays an important role in the development of smart transportation and is considered one…

Computer Vision and Pattern Recognition · Computer Science 2024-09-25 Abu Shad Ahammed , Md Shahi Amran Hossain , Roman Obermaisser

Autonomous Robotics Systems are inherently safety-critical and have complex safety issues to consider (for example, a safety failure can lead to a safety failure). Before they are deployed, these systems of have to show evidence that they…

Computers and Society · Computer Science 2020-07-17 Matt Luckcuck , Marie Farrell
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