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We introduce for the first time a neural-certificate framework for continuous-time stochastic dynamical systems. Autonomous learning systems in the physical world demand continuous-time reasoning, yet existing learnable certificates for…

Systems and Control · Electrical Eng. & Systems 2025-09-01 Grigory Neustroev , Mirco Giacobbe , Anna Lukina

Formal verification entails testing software to ensure it operates as specified. Smart contracts are self-executing contracts with the terms of the agreement directly written into lines of code. They run on blockchain platforms and…

Software Engineering · Computer Science 2025-10-22 Rene Davila , Everardo Barcenas , Rocio Aldeco-Perez

Groundbreaking successes have been achieved by Deep Reinforcement Learning (DRL) in solving practical decision-making problems. Robotics, in particular, can involve high-cost hardware and human interactions. Hence, scrupulous evaluations of…

Artificial Intelligence · Computer Science 2020-10-20 Davide Corsi , Enrico Marchesini , Alessandro Farinelli

In this paper, we consider the problem of formally verifying the safety of an autonomous robot equipped with a Neural Network (NN) controller that processes LiDAR images to produce control actions. Given a workspace that is characterized by…

Artificial Intelligence · Computer Science 2018-11-01 Xiaowu Sun , Haitham Khedr , Yasser Shoukry

We review state-of-the-art formal methods applied to the emerging field of the verification of machine learning systems. Formal methods can provide rigorous correctness guarantees on hardware and software systems. Thanks to the availability…

Programming Languages · Computer Science 2021-04-22 Caterina Urban , Antoine Miné

We propose a security verification framework for cryptographic protocols using machine learning. In recent years, as cryptographic protocols have become more complex, research on automatic verification techniques has been focused on. The…

Cryptography and Security · Computer Science 2023-04-27 Kentaro Ohno , Misato Nakabayashi

We present a method based on program analysis and formal verification to identify conditionally relevant variables (CRVs) - variables which could lead to violation of safety properties in control software when affected by single event…

Software Engineering · Computer Science 2025-05-13 Ganesha , Sujit Kumar Chakrabarti

Diagnosability is a system theoretical property characterizing whether fault occurrences in a system can always be detected within a finite time. In this paper, we investigate the verification of diagnosability for cyber-physical systems…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Bingzhuo Zhong , Weijie Dong , Xiang Yin , Majid Zamani

In recent years, deep reinforcement learning (DRL) approaches have generated highly successful controllers for a myriad of complex domains. However, the opaque nature of these models limits their applicability in aerospace systems and…

This report presents a neurosymbolic framework for safety verification and control synthesis in high-dimensional monotone dynamical systems without relying on explicit models or conservative Lipschitz bounds. The approach combines the…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Saber Jafarpour , Alireza Nadali , Ashutosh Trivedi , Majid Zamani

Runtime verification is an area of formal methods that studies the dynamic analysis of execution traces against formal specifications. Typically, the two main activities in runtime verification efforts are the process of creating monitors…

We present a simulation-based approach for generating barrier certificate functions for safety verification of cyber-physical systems (CPS) that contain neural network-based controllers. A linear programming solver is utilized to find a…

Systems and Control · Computer Science 2018-04-12 Cumhur Erkan Tuncali , James Kapinski , Hisahiro Ito , Jyotirmoy V. Deshmukh

Deep neural networks (DNNs) are widely used in real-world applications, yet they remain vulnerable to errors and adversarial attacks. Formal verification offers a systematic approach to identify and mitigate these vulnerabilities, enhancing…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Yizhak Y. Elboher , Avraham Raviv , Yael Leibovich Weiss , Omer Cohen , Roy Assa , Guy Katz , Hillel Kugler

Deep neural networks are known to be fragile to small adversarial perturbations. This issue becomes more critical when a neural network is interconnected with a physical system in a closed loop. In this paper, we show how to combine recent…

Machine Learning · Computer Science 2019-08-20 Yuh-Shyang Wang , Tsui-Wei Weng , Luca Daniel

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

We present a risk-aware safety certification method for autonomous, learning enabled control systems. Focusing on two realistic risks, state/input delays and interval matrix uncertainty, we model the neural network (NN) controller with…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Hamidreza Montazeri Hedesh , Milad Siami

The large number of recent JEDEC DRAM standard releases and their increasing feature set makes it difficult for designers to rapidly upgrade the memory controller IPs to each new standard. Especially the hardware verification is challenging…

Formal Languages and Automata Theory · Computer Science 2022-10-03 Lukas Steiner , Chirag Sudarshan , Matthias Jung , Dominik Stoffel , Norbert Wehn

Safety of stochastic dynamic systems in environments with dynamic obstacles is studied in this paper through the lens of stochastic barrier functions. We introduce both time-invariant and time-varying barrier certificates for discrete-time,…

Robotics · Computer Science 2026-04-23 Rayan Mazouz , Luca Laurenti , Morteza Lahijanian

The rapid integration of AI algorithms in safety-critical applications such as autonomous driving and healthcare is raising significant concerns about the ability to meet stringent safety standards. Traditional tools for formal safety…

Artificial Intelligence · Computer Science 2026-01-21 Oliver Schön , Zhengang Zhong , Sadegh Soudjani

Trusting software systems, particularly autonomous ones, is challenging. To address this, formal verification techniques can ensure these systems behave as expected. Runtime Verification (RV) is a leading, lightweight method for verifying…

Formal Languages and Automata Theory · Computer Science 2024-08-22 Angelo Ferrando , Vadim Malvone