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Modern verification tools for deep neural networks (DNNs) increasingly rely on abstraction to scale to realistic architectures. In parallel, proof production is becoming a critical requirement for increasing the reliability of DNN…

Logic in Computer Science · Computer Science 2025-06-12 Yizhak Yisrael Elboher , Omri Isac , Guy Katz , Tobias Ladner , Haoze Wu

Floating-point computations are quickly finding their way in the design of safety- and mission-critical systems, despite the fact that designing floating-point algorithms is significantly more difficult than designing integer algorithms.…

Artificial Intelligence · Computer Science 2015-08-03 Roberto Bagnara , Matthieu Carlier , Roberta Gori , Arnaud Gotlieb

Storing tabular data to balance storage and query efficiency is a long-standing research question in the database community. In this work, we argue and show that a novel DeepMapping abstraction, which relies on the impressive memorization…

Databases · Computer Science 2024-09-27 Lixi Zhou , K. Selçuk Candan , Jia Zou

Large, complex networks are ubiquitous in nature and society, and there is great interest in developing rigorous, scalable methods for identifying and characterizing their vulnerabilities. This paper presents an approach for analyzing the…

Dynamical Systems · Mathematics 2010-12-30 Richard Colbaugh , Kristin Glass

Missing feature values are a significant hurdle for downstream machine-learning tasks such as classification. However, imputation methods for classification might be time-consuming for high-dimensional data, and offer few theoretical…

Machine Learning · Computer Science 2025-05-15 Rahul Bordoloi , Clémence Réda , Saptarshi Bej , Olaf Wolkenhauer

Predicate abstraction is a key enabling technology for applying finite-state model checkers to programs written in mainstream languages. It has been used very successfully for debugging sequential system-level C code. Although model…

Programming Languages · Computer Science 2015-03-18 Alastair Donaldson , Alexander Kaiser , Daniel Kroening , Thomas Wahl

Programmability, performance portability, and resource efficiency have emerged as critical challenges in harnessing complex and diverse architectures today to obtain high performance and energy efficiency. While there is abundant research,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-14 Nandita Vijaykumar

Abstraction (in its various forms) is a powerful established technique in model-checking; still, when unbounded data-structures are concerned, it cannot always cope with divergence phenomena in a satisfactory way. Acceleration is an…

Logic in Computer Science · Computer Science 2013-10-04 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

Belief propagation is an algorithm that is known from statistical physics and computer science. It provides an efficient way of calculating marginals that involve large sums of products which are efficiently rearranged into nested products…

Artificial Intelligence · Computer Science 2020-12-22 Tim Ritmeester , Hildegard Meyer-Ortmanns

The growing reliance on artificial intelligence in safety- and security-critical applications is raising concerns about the robustness of neural networks to erroneous or adversarial input. Certification is a methodology for ensuring model…

Machine Learning · Computer Science 2026-05-01 Anton Björklund , Mykola Zaitsev , Paolo Morettin , Marta Kwiatkowska

With the increasing ubiquity of safety-critical autonomous systems operating in uncertain environments, there is a need for mathematical methods for formal verification of stochastic models. Towards formally verifying properties of…

Systems and Control · Electrical Eng. & Systems 2026-02-18 Adrien Banse , Giannis Delimpaltadakis , Luca Laurenti , Manuel Mazo , Raphaël M. Jungers

In predicate abstraction, exact image computation is problematic, requiring in the worst case an exponential number of calls to a decision procedure. For this reason, software model checkers typically use a weak approximation of the image.…

Logic in Computer Science · Computer Science 2015-07-01 Ranjit Jhala , Kenneth L. McMillan

We propose a new approach to interactive full-image semantic segmentation which enables quickly collecting training data for new datasets with previously unseen semantic classes (A demo is available at https://youtu.be/yUk8D5gEX-o). We…

Computer Vision and Pattern Recognition · Computer Science 2020-07-17 Mykhaylo Andriluka , Stefano Pellegrini , Stefan Popov , Vittorio Ferrari

A key question that arises in rigorous analysis of cyberphysical systems under attack involves establishing whether or not the attacked system deviates significantly from the ideal allowed behavior. This is the problem of deciding whether…

Systems and Control · Computer Science 2014-01-08 Sayan Mitra

Abstraction-Carrying Code (ACC) has recently been proposed as a framework for proof-carrying code (PCC) in which the code supplier provides a program together with an abstraction (or abstract model of the program) whose validity entails…

Programming Languages · Computer Science 2007-05-23 Elvira Albert , Puri Arenas , German Puebla

The IC3 algorithm, also known as PDR, has made a significant impact in the field of safety model checking in recent years due to its high efficiency, scalability, and completeness. The most crucial component of IC3 is inductive…

Software Engineering · Computer Science 2024-11-21 Yuheng Su , Qiusong Yang , Yiwei Ci

Recent years have seen significant advances in using formal verification to check hardware security properties. Of particular practical interest are checking confidentiality and integrity of secrets, by checking that there is no information…

Cryptography and Security · Computer Science 2026-01-30 Qinhan Tan , Akash Gaonkar , Yu-Wei Fan , Aarti Gupta , Sharad Malik

Safety verification of robot applications is extremely challenging due to the complexity of the environment that a robot typically operates in. Formal verification with model-checking provides guarantees but it may often take too long or…

Robotics · Computer Science 2025-05-30 Christoph Luckeneder , Ralph Hoch , Hermann Kaindl

This paper presents a novel set of algorithms for heap abstraction, identifying logically related regions of the heap. The targeted regions include objects that are part of the same component structure (recursive data structure). The result…

Logic in Computer Science · Computer Science 2012-12-21 Mohamed A. El-Zawawy

Formal verification has been successfully developed in computer science for verifying combinatorial classes of models and specifications. In like manner, formal verification methods have been developed for dynamical systems. However, the…

Systems and Control · Computer Science 2013-08-27 Rafael Wisniewski