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Formal verification using interactive theorem provers ensures high-quality software. However, writing proof scripts for interactive theorem provers is labor-intensive and requires deep expertise. Recent studies have leveraged deep learning…

Logic in Computer Science · Computer Science 2026-04-28 Manqing Zhang , Yunwei Dong , Lingru Zhou , Bingxu Xiao , Yepang Liu

Many techniques for the automated verification of distributed protocols have been developed over the past several years, but their performance is still unpredictable and their failure modes can be opaque for industrial scale verification…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-22 William Schultz , Edward Ashton , Heidi Howard , Stavros Tripakis

As image generation models grow increasingly powerful and accessible, concerns around authenticity, ownership, and misuse of synthetic media have become critical. The ability to generate lifelike images indistinguishable from real ones…

Cryptography and Security · Computer Science 2025-10-03 Aadarsh Anantha Ramakrishnan , Shubham Agarwal , Selvanayagam S , Kunwar Singh

Recently, Graph Neural Network (GNN)-based vulnerability detection systems have achieved remarkable success. However, the lack of explainability poses a critical challenge to deploy black-box models in security-related domains. For this…

Cryptography and Security · Computer Science 2024-01-29 Sicong Cao , Xiaobing Sun , Xiaoxue Wu , David Lo , Lili Bo , Bin Li , Wei Liu

Over the past few years, AI methods of generating images have been increasing in capabilities, with recent breakthroughs enabling high-resolution, photorealistic "deepfakes" (artificially generated images with the purpose of misinformation…

Cryptography and Security · Computer Science 2022-11-14 Daniel Kang , Tatsunori Hashimoto , Ion Stoica , Yi Sun

Circular (or cyclic) proofs have received increasing attention in recent years, and have been proposed as an alternative setting for studying (co)inductive reasoning. In particular, now several type systems based on circular reasoning have…

Logic in Computer Science · Computer Science 2025-09-01 Gianluca Curzi , Anupam Das

Knowledge Graphs are pivotal for semantic data integration. The real-world data they model is often inherently uncertain. Within knowledge graphs, uncertainty manifests in three distinct levels: imprecise attribute values, probabilistic…

Artificial Intelligence · Computer Science 2026-05-19 Jingcheng Wu

Graph Neural Networks (GNNs) have advanced significantly in handling graph-structured data, but a comprehensive framework for evaluating explainability remains lacking. Existing evaluation frameworks primarily involve post-hoc explanations,…

Machine Learning · Computer Science 2026-05-18 Magdalena Proszewska , N. Siddharth

In recent years the effectiveness of interactive theorem provers has increased to an extent that the bottleneck in the interactive process shifted to efficiency: while in principle large and complex theorems are provable (effectiveness), it…

Logic in Computer Science · Computer Science 2014-10-31 Bernhard Beckert , Sarah Grebing , Florian Böhl

Intermediate-scale quantum devices are becoming more reliable, and may soon be harnessed to solve useful computational tasks. At the same time, common classical methods used to verify their computational output become intractable due to a…

Quantum Physics · Physics 2023-07-03 Johannes Knörzer , Daniel Malz , J. Ignacio Cirac

This work discusses an approach to teach to mathematicians the importance and effectiveness of the application of Interactive Theorem Proving tools in their specific fields of interest. The approach aims to motivate the use of such tools…

Logic in Computer Science · Computer Science 2020-11-02 Mauricio Ayala-Rincón , Thaynara Arielly de Lima

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

Medication errors pose a significant threat to patient safety, making pharmacist verification (PV) a critical, yet heavily burdened, final safeguard. The direct application of Large Language Models (LLMs) to this zero-tolerance domain is…

Artificial Intelligence · Computer Science 2026-03-12 Yichi Zhu , Kan Ling , Xu Liu , Hengrun Zhang , Huiqun Yu , Guisheng Fan

Verifying the complex and multi-step reasoning of Large Language Models (LLMs) is a critical challenge, as holistic methods often overlook localized flaws. Step-by-step validation is a promising alternative, yet existing methods are often…

Artificial Intelligence · Computer Science 2025-11-25 Jiwei Fang , Bin Zhang , Changwei Wang , Jin Wan , Zhiwei Xu

We introduce pseudo-deterministic interactive proofs (psdAM): interactive proof systems for search problems where the verifier is guaranteed with high probability to output the same output on different executions. As in the case with…

Computational Complexity · Computer Science 2017-06-16 Shafi Goldwasser , Ofer Grossman , Dhiraj Holden

The widely held belief that BQP strictly contains BPP raises fundamental questions: if we cannot efficiently compute predictions for the behavior of quantum systems, how can we test their behavior? In other words, is quantum mechanics…

Quantum Physics · Physics 2017-04-17 Dorit Aharonov , Michael Ben-Or , Elad Eban , Urmila Mahadev

The large language models (LLMs) might produce a persuasive argument within mathematical and logical fields, although such argument often includes some minor missteps, including the entire omission of side conditions, invalid inference…

Artificial Intelligence · Computer Science 2026-04-09 Kranthi Kommuru , Kunal Khanvilkar , Gaurav Parekh

Recent large language model (LLM) reasoning, despite its success, suffers from limited domain knowledge, susceptibility to hallucinations, and constrained reasoning depth, particularly in small-scale models deployed in resource-constrained…

Artificial Intelligence · Computer Science 2025-03-04 Wenjie Wu , Yongcheng Jing , Yingjie Wang , Wenbin Hu , Dacheng Tao

We live in an era of information and it is very important to handle the exchange of information. While sending data to an authorized source, we need to protect it from unauthorized sources, changes, and authentication. ZKP technique can be…

Cryptography and Security · Computer Science 2019-11-22 Lavish Saluja , Ashutosh Bhatia

Data attribution methods aim to answer useful counterfactual questions like "what would a ML model's prediction be if it were trained on a different dataset?" However, estimation of data attribution models through techniques like empirical…

Machine Learning · Computer Science 2025-08-19 Ari Karchmer , Martin Pawelczyk , Seth Neel
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