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Related papers: Lean4Physics: Comprehensive Reasoning Framework fo…

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Large Language Models (LLMs) have shown impressive performance in domains such as mathematics and programming, yet their capabilities in physics remain underexplored and poorly understood. Physics poses unique challenges that demand not…

Physics problem-solving is a challenging domain for AI models, requiring integration of conceptual understanding, mathematical reasoning, and interpretation of physical diagrams. Existing evaluations fail to capture the full breadth and…

Artificial Intelligence · Computer Science 2026-02-12 Lintao Wang , Encheng Su , Jiaqi Liu , Pengze Li , Jiabei Xiao , Wenlong Zhang , Xinnan Dai , Xi Chen , Yuan Meng , Lei Bai , Wanli Ouyang , Shixiang Tang , Aoran Wang , Xinzhu Ma

Proving theorems in Lean 4 often requires identifying a scattered set of library lemmas whose joint use enables a concise proof -- a task we call global premise retrieval. Existing tools address adjacent problems: semantic search engines…

Information Retrieval · Computer Science 2026-05-15 Guoxiong Gao , Zeming Sun , Jiedong Jiang , Yutong Wang , Jingda Xu , Peihao Wu , Bryan Dai , Bin Dong

Large Language Models (LLMs) have achieved remarkable progress on advanced reasoning tasks such as mathematics and coding competitions. Meanwhile, physics, despite being both reasoning-intensive and essential to real-world understanding,…

Computation and Language · Computer Science 2025-10-20 Shenghe Zheng , Qianjia Cheng , Junchi Yao , Mengsong Wu , Haonan He , Ning Ding , Yu Cheng , Shuyue Hu , Lei Bai , Dongzhan Zhou , Ganqu Cui , Peng Ye

Large language models demonstrate remarkable capabilities across various domains, especially mathematics and logic reasoning. However, current evaluations overlook physics-based reasoning - a complex task requiring physics theorems and…

Artificial Intelligence · Computer Science 2025-05-27 Xinyu Zhang , Yuxuan Dong , Yanrui Wu , Jiaxing Huang , Chengyou Jia , Basura Fernando , Mike Zheng Shou , Lingling Zhang , Jun Liu

Formal theorem-proving benchmarks enable mechanically verifiable evaluation of mathematical reasoning in large language models. However, existing benchmarks mainly focus on Olympiad-style problems and algebraic domains, leaving…

Artificial Intelligence · Computer Science 2026-05-19 Wentao Long , Yunfei Zhang , Chenyi Li , Li Zhou , Chumin Sun , Zaiwen Wen

We introduce PHYSICS, a comprehensive benchmark for university-level physics problem solving. It contains 1297 expert-annotated problems covering six core areas: classical mechanics, quantum mechanics, thermodynamics and statistical…

Artificial Intelligence · Computer Science 2026-05-22 Kaiyue Feng , Yilun Zhao , Yixin Liu , Tianyu Yang , Chen Zhao , John Sous , Arman Cohan

We present SeePhys, a large-scale multimodal benchmark for LLM reasoning grounded in physics questions ranging from middle school to PhD qualifying exams. The benchmark covers 7 fundamental domains spanning the physics discipline,…

While multimodal LLMs (MLLMs) demonstrate remarkable reasoning progress, their application in specialized scientific domains like physics reveals significant gaps in current evaluation benchmarks. Specifically, existing benchmarks often…

Computation and Language · Computer Science 2025-09-22 Zhongze Luo , Zhenshuai Yin , Yongxin Guo , Zhichao Wang , Jionghao Zhu , Xiaoying Tang

Large language models (LLMs) have demonstrated remarkable capabilities in solving complex reasoning tasks, particularly in mathematics. However, the domain of physics reasoning presents unique challenges that have received significantly…

Computation and Language · Computer Science 2025-06-04 Xin Xu , Qiyun Xu , Tong Xiao , Tianhao Chen , Yuchen Yan , Jiaxin Zhang , Shizhe Diao , Can Yang , Yang Wang

Existing benchmarks fail to capture a crucial aspect of intelligence: physical reasoning, the integrated ability to combine domain knowledge, symbolic reasoning, and understanding of real-world constraints. To address this gap, we introduce…

We introduce, a large-scale synthetic benchmark of 15,045 university-level physics problems (90/10% train/test split). Each problem is fully parameterized, supporting an effectively infinite range of input configurations, and is accompanied…

Artificial Intelligence · Computer Science 2025-12-08 Shima Imani , Seungwhan Moon , Adel Ahmadyan , Lu Zhang , Kirmani Ahmed , Babak Damavandi

Large language models (LLMs) have rapidly advanced and are increasingly capable of tackling complex scientific problems, including those in physics. Despite this progress, current LLMs often fail to emulate the concise, principle-based…

Machine Learning · Computer Science 2025-06-02 Yinggan Xu , Yue Liu , Zhiqiang Gao , Changnan Peng , Di Luo

As LLMs advance their reasoning capabilities about the physical world, the absence of rigorous benchmarks for evaluating their ability to generate scientifically valid physical models has become a critical gap. Computational mechanics,…

Machine Learning · Computer Science 2025-12-25 Saeed Mohammadzadeh , Erfan Hamdi , Joel Shor , Emma Lejeune

Geometry problems are a crucial testbed for AI reasoning capabilities. Most existing geometry solving systems cannot express problems within a unified framework, thus are difficult to integrate with other mathematical fields. Besides, since…

Artificial Intelligence · Computer Science 2025-08-21 Chendong Song , Zihan Wang , Frederick Pu , Haiming Wang , Xiaohan Lin , Junqi Liu , Jia Li , Zhengying Liu

Current benchmarks for evaluating the reasoning capabilities of Large Language Models (LLMs) face significant limitations: task oversimplification, data contamination, and flawed evaluation items. These deficiencies necessitate more…

We introduce a benchmark to evaluate the capability of AI to solve problems in theoretical physics, focusing on high-energy theory and cosmology. The first iteration of our benchmark consists of 57 problems of varying difficulty, from…

The combination of verifiable languages and LLMs has significantly influenced both the mathematical and computer science communities because it provides a rigorous foundation for theorem proving. Recent advancements in the field provide…

Artificial Intelligence · Computer Science 2026-01-23 Hanning Zhang , Ruida Wang , Rui Pan , Wenyuan Wang , Bingxu Meng , Tong Zhang

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

As automated reasoning systems advance rapidly, there is a growing need for research-level formal mathematical problems to accurately evaluate their capabilities. To address this, we present Formal Conjectures, an evolving benchmark of…

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