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In the digital age, ensuring the correctness, safety, and reliability of software through formal verification is paramount, particularly as software increasingly underpins critical infrastructure. Formal verification, split into theorem…

软件工程 · 计算机科学 2026-04-03 Zhiyong Chen , Jialun Cao , Jiarong Wu , Chang Xu , Shing-Chi Cheung

Interactive Theorem Provers (ITPs) are an indispensable tool in the arsenal of formal method experts as a platform for construction and (formal) verification of proofs. The complexity of the proofs in conjunction with the level of expertise…

计算机科学中的逻辑 · 计算机科学 2023-04-21 Eric Yeh , Briland Hitaj , Sam Owre , Maena Quemener , Natarajan Shankar

Recent advances in large language models (LLMs) have shown promise in formal theorem proving, yet evaluating semantic correctness remains challenging. Existing evaluations rely on indirect proxies such as lexical overlap with…

计算与语言 · 计算机科学 2026-04-29 Jongyoon Kim , Hojae Han , Seung-won Hwang

The scarcity of high-quality, logically sound data is a critical bottleneck for advancing the mathematical reasoning of Large Language Models (LLMs). Our work confronts this challenge by turning decades of automated theorem proving research…

计算与语言 · 计算机科学 2025-09-09 Valentin Quesnel , Damien Sileo

Although Large Language Models (LLMs) have established pre-dominance in automated code generation, they are not devoid of shortcomings. The pertinent issues primarily relate to the absence of execution guarantees for generated code, a lack…

Theorem proving serves as a major testbed for evaluating complex reasoning abilities in large language models (LLMs). However, traditional automated theorem proving (ATP) approaches rely heavily on formal proof systems that poorly align…

Theorem proving is fundamental to program verification, where the automated proof of Verification Conditions (VCs) remains a primary bottleneck. Real-world program verification frequently encounters hard VCs that existing Automated Theorem…

人工智能 · 计算机科学 2026-01-29 Qiyuan Xu , Xiaokun Luan , Renxi Wang , Joshua Ong Jun Leang , Peixin Wang , Haonan Li , Wenda Li , Conrad Watt

The use of large language models for code generation is a rapidly growing trend in software development. However, without effective methods for ensuring the correctness of generated code, this trend could lead to undesirable outcomes. In…

人工智能 · 计算机科学 2024-11-19 Chuyue Sun , Ying Sheng , Oded Padon , Clark Barrett

A recurring challenge in theoretical physics is to make reliable global statements about bounded but combinatorially large model spaces. Exhaustive scans quickly become opaque or impractical, while statistical exploration does not by itself…

高能物理 - 理论 · 物理学 2026-03-31 Sven Krippendorf , Joseph Tooby-Smith

Verification is one of the central tasks in circuit and system design. While simulation and emulation are widely used, complete correctness can only be ensured based on formal proof techniques. But these approaches often have very high run…

计算机科学中的逻辑 · 计算机科学 2025-05-30 Rolf Drechsler

Large language models (LLMs) have shown strong performance in Verilog generation from natural language description. However, ensuring the functional correctness of the generated code remains a significant challenge. This paper introduces a…

硬件体系结构 · 计算机科学 2025-04-23 Ning Wang , Bingkun Yao , Jie Zhou , Yuchen Hu , Xi Wang , Nan Guan , Zhe Jiang

LLM-generated explanations can make technical content more accessible, but there is a ceiling on what they can support interactively. Because LLM outputs are static text, they cannot be executed or stepped through. We argue that grounding…

人机交互 · 计算机科学 2026-04-13 Hita Kambhamettu , Will Crichton , Sean Welleck , Harrison Goldstein , Andrew Head

The rise of reasoning models necessitates large-scale verifiable data, for which programming tasks serve as an ideal source. However, while competitive programming platforms provide abundant problems and solutions, high-quality test cases…

软件工程 · 计算机科学 2026-01-21 Jianfeng Cai , Jinhua Zhu , Ruopei Sun , Kangwen Zhao , Dongyun Xue , Mingxiao Feng , Wengang Zhou , Houqiang Li

With the advent of AI-based coding engines, it is possible to convert natural language requirements to executable code in standard programming languages. However, AI-generated code can be unreliable, and the natural language requirements…

软件工程 · 计算机科学 2024-11-06 Martin Mirchev , Andreea Costea , Abhishek Kr Singh , Abhik Roychoudhury

Natural language explanations play a fundamental role in Natural Language Inference (NLI) by revealing how premises logically entail hypotheses. Recent work has shown that the interaction of large language models (LLMs) with theorem provers…

计算与语言 · 计算机科学 2025-06-02 Xin Quan , Marco Valentino , Louise A. Dennis , André Freitas

Large Language Models (LLMs), such as ChatGPT, are increasingly leveraged for generating both traditional software code and spreadsheet logic. Despite their impressive generative capabilities, these models frequently exhibit critical issues…

软件工程 · 计算机科学 2025-11-27 Simon Thorne , Advait Sarkar

Large language models (LLMs) have shown increasing competence in solving mathematical reasoning problems. However, many open-source LLMs still struggle with errors in calculation and semantic understanding during intermediate reasoning…

计算与语言 · 计算机科学 2024-12-18 Vernon Y. H. Toh , Deepanway Ghosal , Soujanya Poria

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

Large Language Models (LLMs) are increasingly used to automatically generate optimized CUDA kernels, substantially improving developer productivity. However, despite rapid generation, these kernels often contain subtle correctness bugs and…

软件工程 · 计算机科学 2026-03-19 Bodhisatwa Chatterjee , Drew Zagieboylo , Sana Damani , Siva Hari , Christos Kozyrakis

Formal theorem proving (FTP) has emerged as a critical foundation for evaluating the reasoning capabilities of large language models, enabling automated verification of mathematical proofs at scale. However, progress has been constrained by…

计算机科学中的逻辑 · 计算机科学 2026-05-19 Terry Jingchen Zhang , Wenyuan Jiang , Rongchuan Liu , Yisong Wang , Junran Yang , Ning Wang , Nicole Ni , Yinya Huang , Mrinmaya Sachan