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Biological neural networks are capable of recruiting different sets of neurons to encode different memories. However, when training artificial neural networks on a set of tasks, typically, no mechanism is employed for selectively producing…

Machine Learning · Computer Science 2023-05-17 Matthew J. Tilley , Michelle Miller , David J. Freedman

Encoding constraints into neural networks is attractive. This paper studies how to introduce the popular positive linear satisfiability to neural networks. We propose the first differentiable satisfiability layer based on an extension of…

Artificial Intelligence · Computer Science 2024-07-22 Runzhong Wang , Yunhao Zhang , Ziao Guo , Tianyi Chen , Xiaokang Yang , Junchi Yan

Video copy detection requires robust similarity estimation under diverse visual distortions while operating at very large scale. Although deep neural networks achieve strong performance, their computational cost and descriptor size limit…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Katarzyna Fojcik

We investigate the computational complexity of neural network verification in quantised settings. We distinguish three classes of Feedforward Neural Networks (FNNs): rational FNNs with exact rational weights, quantised FNNs whose weights…

Computational Complexity · Computer Science 2026-05-29 Eric Alsmann , Martin Lange , Marco Sälzer

In this paper we investigate formal verification problems for Neural Network computations. Of central importance will be various robustness and minimization problems such as: Given symbolic specifications of allowed inputs and outputs in…

Artificial Intelligence · Computer Science 2024-03-21 Adrian Wurm

Recently, with the chain of thought (CoT) prompting, large language models (LLMs), e.g., GPT-3, have shown strong reasoning ability in several natural language processing tasks such as arithmetic, commonsense, and logical reasoning.…

Artificial Intelligence · Computer Science 2023-10-20 Yixuan Weng , Minjun Zhu , Fei Xia , Bin Li , Shizhu He , Shengping Liu , Bin Sun , Kang Liu , Jun Zhao

We study the problem of formal verification of Binarized Neural Networks (BNN), which have recently been proposed as a energy-efficient alternative to traditional learning networks. The verification of BNNs, using the reduction to hardware…

Software Engineering · Computer Science 2018-01-22 Chih-Hong Cheng , Georg Nührenberg , Chung-Hao Huang , Harald Ruess

In the last decade, a large body of work has emerged on robustness of neural networks, i.e., checking if the decision remains unchanged when the input is slightly perturbed. However, most of these approaches ignore the confidence of a…

Logic in Computer Science · Computer Science 2026-02-17 Mohammad Afzal , S. Akshay , Blaise Genest , Ashutosh Gupta

The success of neural networks across most machine learning tasks and the persistence of adversarial examples have made the verification of such models an important quest. Several techniques have been successfully developed to verify…

Machine Learning · Computer Science 2019-10-14 Nathanaël Fijalkow , Mohit Kumar Gupta

A fundamental component of neural network verification is the computation of bounds on the values their outputs can take. Previous methods have either used off-the-shelf solvers, discarding the problem structure, or relaxed the problem even…

The success of Deep Learning and its potential use in many safety-critical applications has motivated research on formal verification of Neural Network (NN) models. Despite the reputation of learned NN models to behave as black boxes and…

Artificial Intelligence · Computer Science 2018-05-23 Rudy Bunel , Ilker Turkaslan , Philip H. S. Torr , Pushmeet Kohli , M. Pawan Kumar

The success of Deep Learning and its potential use in many safety-critical applications has motivated research on formal verification of Neural Network (NN) models. In this context, verification involves proving or disproving that an NN…

Machine Learning · Computer Science 2025-08-27 Rudy Bunel , Jingyue Lu , Ilker Turkaslan , Philip H. S. Torr , Pushmeet Kohli , M. Pawan Kumar

Providing explanations for the outputs of artificial neural networks (ANNs) is crucial in many contexts, such as critical systems, data protection laws and handling adversarial examples. Logic-based methods can offer explanations with…

Logic in Computer Science · Computer Science 2025-05-27 Levi Cordeiro Carvalho , Saulo A. F. Oliveira , Thiago Alves Rocha

Neural network verification is a new and rapidly developing field of research. So far, the main priority has been establishing efficient verification algorithms and tools, while proper support from the programming language perspective has…

Graph Neural Networks (GNNs) have been recently leveraged to solve several logical reasoning tasks. Nevertheless, counting problems such as propositional model counting (#SAT) are still mostly approached with traditional solvers. Here we…

Artificial Intelligence · Computer Science 2022-05-10 Gaia Saveri , Luca Bortolussi

Large language models (LLMs) struggle with formal domains that require rigorous logical deduction and symbolic reasoning, such as mathematical proof generation. We propose a neuro-symbolic approach that combines LLMs' generative strengths…

Artificial Intelligence · Computer Science 2026-05-26 Oren Sultan , Eitan Stern , Dafna Shahaf

We introduce a new dataset of logical entailments for the purpose of measuring models' ability to capture and exploit the structure of logical expressions against an entailment prediction task. We use this task to compare a series of…

Neural and Evolutionary Computing · Computer Science 2018-02-26 Richard Evans , David Saxton , David Amos , Pushmeet Kohli , Edward Grefenstette

The use of neural networks as function approximators has enabled many advances in reinforcement learning (RL). The generalization power of neural networks combined with advances in RL algorithms has reignited the field of artificial…

Machine Learning · Computer Science 2022-03-14 Christopher Lazarus , Mykel J. Kochenderfer

Testing remains the primary method to evaluate the accuracy of neural network perception systems. Prior work on the formal verification of neural network perception models has been limited to notions of local adversarial robustness for…

Machine Learning · Computer Science 2020-12-18 Chris R. Serrano , Pape M. Sylla , Michael A. Warren

Concerned with the reliability of neural networks, researchers have developed verification techniques to prove their robustness. Most verifiers work with real-valued networks. Unfortunately, the exact (complete and sound) verifiers face…

Artificial Intelligence · Computer Science 2020-10-28 Kai Jia , Martin Rinard