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Certifying verification algorithms not only return whether a given property holds or not, but also provide an accompanying independently checkable certificate and a corresponding witness. The certificate can be used to easily validate the…

Logic in Computer Science · Computer Science 2025-01-13 Christel Baier , Calvin Chau , Sascha Klüppelholz

Recent advances in deep learning have enabled the development of autonomous systems that use deep neural networks for perception. Formal verification of these systems is challenging due to the size and complexity of the perception DNNs as…

Machine Learning · Computer Science 2025-04-30 Christopher Watson , Rajeev Alur , Divya Gopinath , Ravi Mangal , Corina S. Pasareanu

Safety and mission performance validation of autonomous vehicles (AVs) is a major challenge. In this paper we describe a methodology for constructing and applying assertion checks to validate the behaviour of an AV operating either in…

Databases · Computer Science 2022-05-16 Christopher Harper , Greg Chance , Abanoub Ghobrial , Saquib Alam , Tony Pipe , Kerstin Eder

Trust management of Internet of connected vehicles has been a hot topic during the recent years with the rapid development of UGV technologies. However, existing resolutions based on trustworthiness verification among vehicles make the…

Networking and Internet Architecture · Computer Science 2019-11-28 Zhihong Tian , Xiangsong Gao , Shen Su , Jing Qiu

In the past few years, significant progress has been made on deep neural networks (DNNs) in achieving human-level performance on several long-standing tasks. With the broader deployment of DNNs on various applications, the concerns over…

Machine Learning · Computer Science 2020-06-02 Xiaowei Huang , Daniel Kroening , Wenjie Ruan , James Sharp , Youcheng Sun , Emese Thamo , Min Wu , Xinping Yi

Automated theorem provers and formal proof assistants are general reasoning systems that are in theory capable of proving arbitrarily hard theorems, thus solving arbitrary problems reducible to mathematics and logical reasoning. In…

Artificial Intelligence · Computer Science 2025-06-23 Lasse Blaauwbroek , David Cerna , Thibault Gauthier , Jan Jakubův , Cezary Kaliszyk , Martin Suda , Josef Urban

Perception-based neural network controllers are increasingly used in autonomous systems that rely on visual inputs to operate in the real world. Ensuring the safety of such systems under uncertainty is challenging. Existing verification…

Robotics · Computer Science 2025-07-08 Alexander Estornell , Leonard Jung , Michael Everett

In the age of autonomously driving vehicles, functionality and complexity of embedded systems are increasing tremendously. Safety aspects become more important and require such systems to operate with the highest possible level of fault…

Software Engineering · Computer Science 2021-10-20 Jonas Fritzsch , Tobias Schmid , Stefan Wagner

In this paper we report the experience of using AutoProof to statically verify a small object oriented program. We identified the problems that emerged by this activity and we classified them according to their nature. In particular, we…

Software Engineering · Computer Science 2017-06-20 Mansur Khazeev , Victor Rivera , Manuel Mazzara , Leonard Johard

Automated Theorem Proving (ATP) represents a core research direction in artificial intelligence for achieving formal reasoning and verification, playing a significant role in advancing machine intelligence. However, current large language…

Artificial Intelligence · Computer Science 2025-12-23 Sirui Li , Wangyue Lu , Xiaorui Shi , Ke Weng , Haozhe Sun , Minghe Yu , Tiancheng Zhang , Ge Yu , Hengyu Liu , Lun Du

The verification problem for neural networks is verifying whether a neural network will suffer from adversarial samples, or approximating the maximal allowed scale of adversarial perturbation that can be endured. While most prior work…

Machine Learning · Computer Science 2018-11-16 Qinglong Wang , Kaixuan Zhang , Xue Liu , C. Lee Giles

Deep neural networks are widely used for nonlinear function approximation with applications ranging from computer vision to control. Although these networks involve the composition of simple arithmetic operations, it can be very challenging…

Machine Learning · Computer Science 2020-12-02 Changliu Liu , Tomer Arnon , Christopher Lazarus , Christopher Strong , Clark Barrett , Mykel J. Kochenderfer

The rapid growth of the automotive industry has exacerbated the conflict between the complex traffic environment, increasing communication demands, and limited resources. Given the imperative to mitigate traffic and network congestion,…

Networking and Internet Architecture · Computer Science 2024-07-17 Jialin Hu , Zhiyuan Ren , Wenchi Cheng , Zhiliang Shuai , Zhao Li

Theorem proving is a fundamental task in mathematics. With the advent of large language models (LLMs) and interactive theorem provers (ITPs) like Lean, there has been growing interest in integrating LLMs and ITPs to automate theorem…

Artificial Intelligence · Computer Science 2024-02-16 Rahul Vishwakarma , Subhankar Mishra

Development processes in various engineering disciplines are incorporating formal models to ensure safety properties of critical systems. The use of these formal models requires to reason about their adequacy, i.e., to validate that a model…

Human-Computer Interaction · Computer Science 2019-12-24 Eduard Kamburjan , Jonas Stromberg

Deep neural networks, despite their success in numerous applications, often function without established theoretical foundations. In this paper, we bridge this gap by drawing parallels between deep learning and classical numerical analysis.…

Machine Learning · Computer Science 2023-10-04 Emanuele Zappala , Daniel Levine , Sizhuang He , Syed Rizvi , Sacha Levy , David van Dijk

The development and deployment of Autonomous Vehicles (AVs) on our roads is not only realistic in the near future but can also bring significant benefits. In particular, it can potentially solve several problems relating to vehicles and…

Logic in Computer Science · Computer Science 2017-09-11 Lucas E. R. Fernandes , Vinicius Custodio , Gleifer V. Alves , Michael Fisher

This work in progress paper introduces robustness verification for autoencoder-based regression neural network (NN) models, following state-of-the-art approaches for robustness verification of image classification NNs. Despite the ongoing…

Machine Learning · Computer Science 2022-07-15 Neelanjana Pal , Taylor T Johnson

A classical method for model-checking timed properties-such as those expressed using timed extensions of temporal logic-is to rely on the use of observers. In this context, a major problem is to prove the correctness of observers.…

Logic in Computer Science · Computer Science 2015-09-23 Silvano Dal Zilio , Bernard Berthomieu

The rapid evolution of automated vehicles (AVs) has the potential to provide safer, more efficient, and comfortable travel options. However, these systems face challenges regarding reliability in complex driving scenarios. Recent…

Artificial Intelligence · Computer Science 2024-02-27 Shihong Ling , Yue Wan , Xiaowei Jia , Na Du