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We study the collection of first-order logical schemata all of whose instances are theorems of a given theory $T$; we call these the validities of $T$ ($\mathsf{V}(T)$). It is easy to see that if $T$ is a decidable theory, then…

Logic · Mathematics 2026-05-26 Denis R. Hirschfeldt , Henry Towsner , Scott Weinstein

Code verifiers play a critical role in post-verification for LLM-based code generation, yet existing supervised fine-tuning methods suffer from data scarcity, high failure rates, and poor inference efficiency. While reinforcement learning…

Artificial Intelligence · Computer Science 2026-02-02 Ji Shi , Peiming Guo , Meishan Zhang , Miao Zhang , Xuebo Liu , Min Zhang , Weili Guan

Cloud computing platforms have created the possibility for computationally limited users to delegate demanding tasks to strong but untrusted servers. Verifiable computing algorithms help build trust in such interactions by enabling the…

Computational Complexity · Computer Science 2019-07-10 Saeid Sahraei , Mohammad Ali Maddah-Ali , Salman Avestimehr

Federated learning (FL) is the most popular distributed machine learning technique. FL allows machine-learning models to be trained without acquiring raw data to a single point for processing. Instead, local models are trained with local…

Machine Learning · Computer Science 2023-02-06 Qun Li , Chandra Thapa , Lawrence Ong , Yifeng Zheng , Hua Ma , Seyit A. Camtepe , Anmin Fu , Yansong Gao

Due to the rising concerns on privacy protection, how to build machine learning (ML) models over different data sources with security guarantees is gaining more popularity. Vertical federated learning (VFL) describes such a case where ML…

Machine Learning · Computer Science 2022-06-17 Fangcheng Fu , Huanran Xue , Yong Cheng , Yangyu Tao , Bin Cui

Systems in many safety-critical application domains are subject to certification requirements. In such a system, there are typically different applications providing functionalities that have varying degrees of criticality. Consequently,…

Operating Systems · Computer Science 2020-03-12 Xiaozhe Gu , Arvind Easwaran

Deepfakes are realistic face manipulations that can pose serious threats to security, privacy, and trust. Existing methods mostly treat this task as binary classification, which uses digital labels or mask signals to train the detection…

Computer Vision and Pattern Recognition · Computer Science 2024-02-08 Ke Sun , Shen Chen , Taiping Yao , Haozhe Yang , Xiaoshuai Sun , Shouhong Ding , Rongrong Ji

The class of defeasible logics is only vaguely defined -- it is defined by a few exemplars and the general idea of efficient reasoning with defeasible rules. The recent definition of the defeasible logic $DL(\partial_{||})$ introduced new…

Logic in Computer Science · Computer Science 2024-05-30 Michael J. Maher

A number of pattern recognition tasks, \textit{e.g.}, face verification, can be boiled down to classification or clustering of unit length directional feature vectors whose distance can be simply computed by their angle. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2018-01-03 Md. Abul Hasnat , Julien Bohné , Jonathan Milgram , Stéphane Gentric , Liming Chen

To provide safety guarantees for learning-based control systems, recent work has developed formal verification methods to apply after training ends. However, if the trained policy does not meet the specifications, or there is conservatism…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Puja Chaudhury , Alexander Estornell , Michael Everett

Formally verified compilers and formally verified static analyzers are a solution to the problem that certain industries face when they have to demonstrate to authorities that the object code they run truly corresponds to its source code…

Logic in Computer Science · Computer Science 2024-07-12 David Monniaux

Vertical Federated Learning (VFL) enables multiple data owners, each holding a different subset of features about largely overlapping sets of data sample(s), to jointly train a useful global model. Feature selection (FS) is important to…

Machine Learning · Computer Science 2023-02-22 Anran Li , Hongyi Peng , Lan Zhang , Jiahui Huang , Qing Guo , Han Yu , Yang Liu

Verification of higher-order probabilistic programs is a challenging problem. We present a verification method that supports several quantitative properties of higher-order probabilistic programs. Usually, extending verification methods to…

Logic in Computer Science · Computer Science 2024-07-04 Satoshi Kura , Hiroshi Unno

The increasing use of deep neural networks for safety-critical applications, such as autonomous driving and flight control, raises concerns about their safety and reliability. Formal verification can address these concerns by guaranteeing…

Artificial Intelligence · Computer Science 2018-02-06 Lindsey Kuper , Guy Katz , Justin Gottschlich , Kyle Julian , Clark Barrett , Mykel Kochenderfer

Vertical Federated Learning (VFL) has emerged as a collaborative training paradigm that allows participants with different features of the same group of users to accomplish cooperative training without exposing their raw data or model…

Machine Learning · Computer Science 2024-04-17 Tianyuan Zou , Zixuan Gu , Yu He , Hideaki Takahashi , Yang Liu , Ya-Qin Zhang

Verifying the robustness of machine learning models against evasion attacks at test time is an important research problem. Unfortunately, prior work established that this problem is NP-hard for decision tree ensembles, hence bound to be…

Machine Learning · Computer Science 2023-11-14 Stefano Calzavara , Lorenzo Cazzaro , Giulio Ermanno Pibiri , Nicola Prezza

Training language models to solve complex mathematical problems benefits from curriculum learning progressively training on simpler subproblems. However, existing decomposition methods are often heuristic, offering no guarantees that…

Artificial Intelligence · Computer Science 2026-02-10 Kaleem Ullah Qasim , Jiashu Zhang , Hao Li , Muhammad Kafeel Shaheen

Federated learning (FL) enables collaborative model training by aggregating local updates without requiring raw data sharing. However, prior studies have shown that servers can exploit gradient inversion to compromise user privacy or…

Cryptography and Security · Computer Science 2026-05-26 Yufei Zhou

In this paper we consider the question of smoothness of slowly varying functions satisfying the modern definition that, in the last two decades, gained prevalence in the applications concerning function spaces and interpolation. We show,…

General Mathematics · Mathematics 2025-11-06 Dalimil Peša

Chain-of-Thought reasoning has emerged as a powerful approach for solving complex mathematical and logical problems. However, it can often veer off track through incorrect or unsubstantiated inferences. Formal mathematical reasoning, which…

Machine Learning · Computer Science 2026-02-16 Maria-Florina Balcan , Avrim Blum , Zhiyuan Li , Dravyansh Sharma