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In this article we report on an initial exploration to assess the viability of using the general large language models (LLMs), recently made public, to classify mathematical documents. Automated classification would be useful from the…

Information Retrieval · Computer Science 2024-06-18 Patrick D. F. Ion , Stephen M. Watt

Recent advances in large language models (LLMs) have fueled the vision of automated scientific discovery, often called AI Co-Scientists. To date, prior work casts these systems as generative co-authors responsible for crafting hypotheses,…

Computation and Language · Computer Science 2025-05-20 Guijin Son , Jiwoo Hong , Honglu Fan , Heejeong Nam , Hyunwoo Ko , Seungwon Lim , Jinyeop Song , Jinha Choi , Gonçalo Paulo , Youngjae Yu , Stella Biderman

Recent advances in automated theorem proving (ATP) through LLMs have highlighted the potential of formal reasoning with Lean 4 codes. However, ATP has not yet be revolutionized by the recent posttraining scaling as demonstrated by Open AI…

Artificial Intelligence · Computer Science 2025-07-15 Jingyuan Zhang , Qi Wang , Xingguang Ji , Yahui Liu , Yang Yue , Fuzheng Zhang , Di Zhang , Guorui Zhou , Kun Gai

Automated theorem provers and formal proof assistants are general reasoning systems that are in theory capable of proving arbitrarily hard theorems, thus solving arbitrary problems reducible to mathematics and logical reasoning. In…

Artificial Intelligence · Computer Science 2025-06-23 Lasse Blaauwbroek , David Cerna , Thibault Gauthier , Jan Jakubův , Cezary Kaliszyk , Martin Suda , Josef Urban

Large Language Models (LLMs) are increasingly deployed as scientific AI as- sistants, and a growing body of benchmarks evaluates their capabilities across knowledge retrieval, reasoning, code generation, and tool use. These evaluations,…

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…

Machine Learning · Computer Science 2025-03-24 Kefan Dong , Tengyu Ma

Humans can develop new theorems to explore broader and more complex mathematical results. While current generative language models (LMs) have achieved significant improvement in automatically proving theorems, their ability to generate new…

Computation and Language · Computer Science 2024-05-14 Xiaohan Lin , Qingxing Cao , Yinya Huang , Zhicheng Yang , Zhengying Liu , Zhenguo Li , Xiaodan Liang

Advanced applied mathematics problems are underrepresented in existing Large Language Model (LLM) benchmark datasets. To address this, we introduce HARDMath, a dataset inspired by a graduate course on asymptotic methods, featuring…

In recent months, large language models (LLMs) have made significant progress in mathematical proof generation, but further advancement is hindered by the lack of a large-scale, high-quality dataset of human-evaluated proofs. While…

While large language models (LLMs) excel at many domain-specific tasks, their ability to deeply comprehend and reason about full-length academic papers remains underexplored. Existing benchmarks often fall short of capturing such depth,…

Artificial Intelligence · Computer Science 2026-01-08 Xinbang Dai , Huikang Hu , Yongrui Chen , Jiaqi Li , Rihui Jin , Yuyang Zhang , Xiaoguang Li , Lifeng Shang , Guilin Qi

Large Language Models (LLMs) have recently advanced the field of Automated Theorem Proving (ATP), attaining substantial performance gains through widely adopted test-time scaling strategies, notably reflective Chain-of-Thought (CoT)…

Computation and Language · Computer Science 2025-09-17 Mukai Li , Linfeng Song , Zhenwen Liang , Jiahao Xu , Shansan Gong , Qi Liu , Haitao Mi , Dong Yu

Large language models have made significant progress in mathematical reasoning, which serves as an important testbed for AI and could impact scientific research if further advanced. By scaling reasoning with reinforcement learning that…

Artificial Intelligence · Computer Science 2025-12-01 Zhihong Shao , Yuxiang Luo , Chengda Lu , Z. Z. Ren , Jiewen Hu , Tian Ye , Zhibin Gou , Shirong Ma , Xiaokang Zhang

The evaluation of Large Language Models (LLMs) on mathematical reasoning has largely focused on elementary problems, competition-style questions, or formal theorem proving, leaving graduate-level and computational mathematics relatively…

Computation and Language · Computer Science 2026-03-05 Bianca Raimondi , Francesco Pivi , Davide Evangelista , Maurizio Gabbrielli

Despite impressive advances in large language models (LLMs), existing benchmarks often focus on single-turn or single-step tasks, failing to capture the kind of iterative reasoning required in real-world settings. To address this…

Computation and Language · Computer Science 2025-11-26 Yiran Zhang , Mo Wang , Xiaoyang Li , Kaixuan Ren , Chencheng Zhu , Usman Naseem

Large Language Models (LLMs) excel at various tasks, including problem-solving and question-answering. However, LLMs often find Math Word Problems (MWPs) challenging because solving them requires a range of reasoning and mathematical…

Artificial Intelligence · Computer Science 2025-09-24 Mitchell Piehl , Dillon Wilson , Ananya Kalita , Jugal Kalita

Proof assistants like Lean have revolutionized mathematical proof verification, ensuring high accuracy and reliability. Although large language models (LLMs) show promise in mathematical reasoning, their advancement in formal theorem…

Artificial Intelligence · Computer Science 2024-05-24 Huajian Xin , Daya Guo , Zhihong Shao , Zhizhou Ren , Qihao Zhu , Bo Liu , Chong Ruan , Wenda Li , Xiaodan Liang

The most promising recent methods for AI reasoning require applying variants of reinforcement learning (RL) either on rolled out trajectories from the LLMs, even for the step-wise rewards, or large quantities of human-annotated trajectory…

Artificial Intelligence · Computer Science 2025-06-25 Sara Rajaee , Kumar Pratik , Gabriele Cesa , Arash Behboodi

Evaluating the mathematical capability of Large Language Models (LLMs) is a critical yet challenging frontier. Existing benchmarks fall short, particularly for proof-centric problems, as manual creation is unscalable and costly, leaving the…

Computation and Language · Computer Science 2025-08-06 Yebo Peng , Zixiang Liu , Yaoming Li , Zhizhuo Yang , Xinye Xu , Bowen Ye , Weijun Yuan , Zihan Wang , Tong Yang

The growing complexity of construction management (CM) projects, coupled with challenges such as strict regulatory requirements and labor shortages, requires specialized analytical tools that streamline project workflow and enhance…

Computation and Language · Computer Science 2025-04-15 Ruoxin Xiong , Yanyu Wang , Suat Gunhan , Yimin Zhu , Charles Berryman

Recent progress in LLMs, such as reasoning models, has demonstrated strong abilities to solve complex competitive programming problems, often rivaling top human competitors. However, it remains underexplored whether these abilities…

Computation and Language · Computer Science 2025-07-22 Jierui Li , Raymond Mooney