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Related papers: Proof Automation with Large Language Models

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The surge in scientific submissions has placed increasing strain on the traditional peer-review process, prompting the exploration of large language models (LLMs) for automated review generation. While LLMs demonstrate competence in…

Computation and Language · Computer Science 2025-09-25 Ruochi Li , Haoxuan Zhang , Edward Gehringer , Ting Xiao , Junhua Ding , Haihua Chen

Formal mathematical reasoning remains a critical challenge for artificial intelligence, hindered by limitations of existing benchmarks in scope and scale. To address this, we present FormalMATH, a large-scale Lean4 benchmark comprising…

Recent advances in automated theorem proving use Large Language Models (LLMs) to translate informal mathematical statements into formal proofs. However, informal cues are often ambiguous or lack strict logical structure, making it hard for…

Machine Learning · Computer Science 2025-10-14 Shashank Kirtania , Arun Iyer

We explore generating factual and accurate tables from the parametric knowledge of large language models (LLMs). While LLMs have demonstrated impressive capabilities in recreating knowledge bases and generating free-form text, we focus on…

Computation and Language · Computer Science 2024-06-18 Yevgeni Berkovitch , Oren Glickman , Amit Somech , Tomer Wolfson

Despite significant advancements in the general capability of large language models (LLMs), they continue to struggle with consistent and accurate reasoning, especially in complex tasks such as mathematical and code reasoning. One key…

Machine Learning · Computer Science 2024-10-10 Zhenwen Liang , Ye Liu , Tong Niu , Xiangliang Zhang , Yingbo Zhou , Semih Yavuz

Large language models (LLM), such as Google's Minerva and OpenAI's GPT families, are becoming increasingly capable of solving mathematical quantitative reasoning problems. However, they still make unjustified logical and computational…

Artificial Intelligence · Computer Science 2024-03-28 Jin Peng Zhou , Charles Staats , Wenda Li , Christian Szegedy , Kilian Q. Weinberger , Yuhuai Wu

Despite impressive results on curated benchmarks, the practical impact of large language models (LLMs) on research-level neural theorem proving and proof autoformalization is still limited. We introduce RLMEval, an evaluation suite for…

Computation and Language · Computer Science 2025-10-30 Auguste Poiroux , Antoine Bosselut , Viktor Kunčak

Formal methods (FM) are reliable but costly to apply, often requiring years of expert effort in industrial-scale projects such as seL4, especially for theorem proving. Recent advances in large language models (LLMs) have made automated…

Cryptography and Security · Computer Science 2026-02-10 Jianyu Zhang , Fuyuan Zhang , Jiayi Lu , Jilin Hu , Xiaoyi Yin , Long Zhang , Feng Yang , Yongwang Zhao

The ability of Large Language Models (LLMs) to perform reasoning tasks such as deduction has been widely investigated in recent years. Yet, their capacity to generate proofs-faithful, human-readable explanations of why conclusions…

Artificial Intelligence · Computer Science 2026-01-21 Hui Yang , Jiaoyan Chen , Uli Sattler

As artificial intelligence (AI) gains greater adoption in a wide variety of applications, it has immense potential to contribute to mathematical discovery, by guiding conjecture generation, constructing counterexamples, assisting in…

Artificial Intelligence · Computer Science 2023-10-27 Hassen Saidi , Susmit Jha , Tuhin Sahai

Self-Correction aims to enable large language models (LLMs) to self-verify and self-refine their initial responses without external feedback. However, LLMs often fail to effectively self-verify and generate correct feedback, further…

Computation and Language · Computer Science 2025-05-28 Xiaoshuai Song , Yanan Wu , Weixun Wang , Jiaheng Liu , Wenbo Su , Bo Zheng

Automated unit test generation is critical for software quality but traditional structure-driven methods often lack the semantic understanding required to produce realistic inputs and oracles. Large language models (LLMs) address this…

Software Engineering · Computer Science 2026-01-01 Bei Chu , Yang Feng , Kui Liu , Zhaoqiang Guo , Yichi Zhang , Hange Shi , Zifan Nan , Baowen Xu

Multimodal Large Language Models (MLLMs) have achieved impressive performances in mathematical reasoning, yet they remain vulnerable to visual hallucinations and logical inconsistencies that standard outcome-based supervision fails to…

Artificial Intelligence · Computer Science 2026-01-01 Peng Kuang , Xiangxiang Wang , Wentao Liu , Jian Dong , Kaidi Xu

Large Language Models (LLMs) have shown potential for solving mathematical tasks. We show that LLMs can be utilized to generate proofs by induction for hardware verification and thereby replace some of the manual work done by Formal…

Logic in Computer Science · Computer Science 2026-05-04 Romy Peled , Daniel Kroening , Michael Tautschnig , Yakir Vizel

Automated fact-checking, using machine learning to verify claims, has grown vital as misinformation spreads beyond human fact-checking capacity. Large Language Models (LLMs) like GPT-4 are increasingly trusted to write academic papers,…

Computation and Language · Computer Science 2024-02-08 Dorian Quelle , Alexandre Bovet

The research in AI-based formal mathematical reasoning has shown an unstoppable growth trend. These studies have excelled in mathematical competitions like IMO and have made significant progress. This paper focuses on formal verification,…

Artificial Intelligence · Computer Science 2025-06-10 Jialun Cao , Yaojie Lu , Meiziniu Li , Haoyang Ma , Haokun Li , Mengda He , Cheng Wen , Le Sun , Hongyu Zhang , Shengchao Qin , Shing-Chi Cheung , Cong Tian

Understanding how and why large language models (LLMs) fail is becoming a central challenge as models rapidly evolve and static evaluations fall behind. While automated probing has been enabled by dynamic test generation, existing…

Computation and Language · Computer Science 2026-02-16 Yue Huang , Zhengzhe Jiang , Yuchen Ma , Yu Jiang , Xiangqi Wang , Yujun Zhou , Yuexing Hao , Kehan Guo , Pin-Yu Chen , Stefan Feuerriegel , Xiangliang Zhang

While Large Language Models (LLMs) have demonstrated strong math reasoning abilities through Reinforcement Learning with *Verifiable Rewards* (RLVR), many advanced mathematical problems are proof-based, with no guaranteed way to determine…

Computation and Language · Computer Science 2026-02-20 Haotong Yang , Zitong Wang , Shijia Kang , Siqi Yang , Wenkai Yu , Xu Niu , Yike Sun , Yi Hu , Zhouchen Lin , Muhan Zhang

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…

Software Engineering · Computer Science 2026-04-22 Yican Sun , Chengwei Shi , Hangzhou Lyu , Yingfei Xiong

The demand for synthetic data in mathematical reasoning has increased due to its potential to enhance the mathematical capabilities of large language models (LLMs). However, ensuring the validity of intermediate reasoning steps remains a…

Artificial Intelligence · Computer Science 2026-01-19 Joshua Ong Jun Leang , Giwon Hong , Wenda Li , Shay B. Cohen