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Automated theorem proving is fundamental to formal methods, and the recent trend is to integrate large language models (LLMs) and proof assistants to form effective proof agents. While existing proof agents show promising performance, they…

软件工程 · 计算机科学 2026-04-22 Yican Sun , Chengwei Shi , Hangzhou Lyu , Yingfei Xiong

Traditional automated theorem provers for first-order logic depend on speed-optimized search and many handcrafted heuristics that are designed to work best over a wide range of domains. Machine learning approaches in literature either…

人工智能 · 计算机科学 2021-12-21 Eser Aygün , Laurent Orseau , Ankit Anand , Xavier Glorot , Vlad Firoiu , Lei M. Zhang , Doina Precup , Shibl Mourad

Generated texts from large language models (LLMs) are remarkably close to high-quality human-authored text, raising concerns about their potential misuse in spreading false information and academic misconduct. Consequently, there is an…

计算与语言 · 计算机科学 2023-11-06 Kangxi Wu , Liang Pang , Huawei Shen , Xueqi Cheng , Tat-Seng Chua

Automating the formalization of mathematical statements for theorem proving remains a major challenge for Large Language Models (LLMs). LLMs struggle to identify and utilize the prerequisite mathematical knowledge and its corresponding…

人工智能 · 计算机科学 2026-04-08 Meiru Zhang , Philipp Borchert , Milan Gritta , Gerasimos Lampouras

G\"odel's ontological proof has been analysed for the first-time with an unprecedent degree of detail and formality with the help of higher-order theorem provers. The following has been done (and in this order): A detailed natural deduction…

计算机科学中的逻辑 · 计算机科学 2017-09-05 Christoph Benzmüller , Bruno Woltzenlogel Paleo

Transformer-based detectors (DETRs) are becoming popular for their simple framework, but the large model size and heavy time consumption hinder their deployment in the real world. While knowledge distillation (KD) can be an appealing…

计算机视觉与模式识别 · 计算机科学 2023-03-20 Jiahao Chang , Shuo Wang , Haiming Xu , Zehui Chen , Chenhongyi Yang , Feng Zhao

We introduce an extended tableau calculus for answer set programming (ASP). The proof system is based on the ASP tableaux defined in [Gebser&Schaub, ICLP 2006], with an added extension rule. We investigate the power of Extended ASP Tableaux…

人工智能 · 计算机科学 2010-07-20 Matti Järvisalo , Emilia Oikarinen

We introduce Tinker, a tool for designing and evaluating proof strategies based on proof-strategy graphs, a formalism previously introduced by the authors. We represent proof strategies as open-graphs, which are directed graphs with…

计算机科学中的逻辑 · 计算机科学 2014-10-31 Gudmund Grov , Aleks Kissinger , Yuhui Lin

A number of automated techniques and tools were proposed in the research literature over the years which aim to support the spreadsheet developer in the process of testing and debugging a faulty spreadsheet. One underlying assumption of…

软件工程 · 计算机科学 2015-03-12 Dietmar Jannach , Thomas Schmitz

Deep learning operators are fundamental components of modern deep learning frameworks. With the growing demand for customized operators, it has become increasingly common for developers to create their own. However, designing and…

机器学习 · 计算机科学 2024-12-31 Qi Zhan , Xing Hu , Xin Xia , Shanping Li

Although automated reasoning with diagrams has been possible for some years, tools for diagrammatic reasoning are generally much less sophisticated than their sentential cousins. The tasks of exploring levels of automation and abstraction…

计算机科学中的逻辑 · 计算机科学 2017-01-26 Sven Linker , Jim Burton , Mateja Jamnik

Recent advancements, such as DeepSeek-Prover-V2-671B and Kimina-Prover-Preview-72B, demonstrate a prevailing trend in leveraging reinforcement learning (RL)-based large-scale training for automated theorem proving. Surprisingly, we discover…

人工智能 · 计算机科学 2025-06-16 Chenrui Cao , Liangcheng Song , Zenan Li , Xinyi Le , Xian Zhang , Hui Xue , Fan Yang

We propose trace abstraction modulo probability, a proof technique for verifying high-probability accuracy guarantees of probabilistic programs. Our proofs overapproximate the set of program traces using failure automata, finite-state…

编程语言 · 计算机科学 2018-10-31 Calvin Smith , Justin Hsu , Aws Albarghouthi

Scientific software is one of the key elements for reproducible research. However, classic publications and related scientific software are typically not (sufficiently) linked, and it lacks tools to jointly explore these artefacts. In this…

数字图书馆 · 计算机科学 2018-06-21 Anett Hoppe , Jascha Hagen , Helge Holzmann , Günter Kniesel , Ralph Ewerth

Denoising Diffusion Probabilistic Models (DDPMs) are emerging in text-to-speech (TTS) synthesis because of their strong capability of generating high-fidelity samples. However, their iterative refinement process in high-dimensional data…

音频与语音处理 · 电气工程与系统科学 2023-01-02 Zehua Chen , Yihan Wu , Yichong Leng , Jiawei Chen , Haohe Liu , Xu Tan , Yang Cui , Ke Wang , Lei He , Sheng Zhao , Jiang Bian , Danilo Mandic

Analyzing third-party software such as malware or firmware is a crucial task for security analysts. Although various approaches for automatic analysis exist and are the subject of ongoing research, analysts often have to resort to manual…

密码学与安全 · 计算机科学 2023-06-01 Steffen Enders , Eva-Maria C. Behner , Niklas Bergmann , Mariia Rybalka , Elmar Padilla , Er Xue Hui , Henry Low , Nicholas Sim

A fundamental challenge in formal theorem proving by LLMs is the lack of high-quality training data. Although reinforcement learning or expert iteration partially mitigates this issue by alternating between LLM generating proofs and…

机器学习 · 计算机科学 2025-03-24 Kefan Dong , Tengyu Ma

A deductive program synthesis tool takes a specification as input and derives a program that satisfies the specification. The drawback of this approach is that search spaces for such correct programs tend to be enormous, making it difficult…

神经与进化计算 · 计算机科学 2023-01-23 Yutaka Nagashima

Automated text scoring (ATS) tasks, such as automated essay scoring and readability assessment, are important educational applications of natural language processing. Due to their interpretability of models and predictions, traditional…

计算与语言 · 计算机科学 2021-04-09 Hitoshi Manabe , Masato Hagiwara

Mathematical proofs are a cornerstone of control theory, and it is important to get them right. Deduction systems can help with this by mechanically checking the proofs. However, the structure and level of detail at which a proof is…

系统与控制 · 电气工程与系统科学 2025-03-21 Mario Gleirscher , Rehab Massoud , Dieter Hutter , Christoph Lüth