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Reliable autoformalization remains challenging even in the era of large language models (LLMs). The scarcity of high-quality training data is a major bottleneck. Expert annotation requires substantial time and deep expertise in both…

Artificial Intelligence · Computer Science 2026-03-12 Param Biyani , Shashank Kirtania , Yasharth Bajpai , Sumit Gulwani , Ashish Tiwari

Although Vision Language Models (VLMs) exhibit strong perceptual abilities and impressive visual reasoning, they struggle with attention to detail and precise action planning in complex, dynamic environments, leading to subpar performance.…

Artificial Intelligence · Computer Science 2025-08-08 Xinrun Xu , Pi Bu , Ye Wang , Börje F. Karlsson , Ziming Wang , Tengtao Song , Qi Zhu , Jun Song , Zhiming Ding , Bo Zheng

Chemical theory can be made more rigorous using the Lean theorem prover, an interactive theorem prover for complex mathematics. We formalize the Langmuir and BET theories of adsorption, making each scientific premise clear and every step of…

Logic in Computer Science · Computer Science 2023-12-14 Maxwell P. Bobbin , Samiha Sharlin , Parivash Feyzishendi , An Hong Dang , Catherine M. Wraback , Tyler R. Josephson

While large language models (LLMs) promise to revolutionize automated scientific discovery, their application in rigorous real-world physical research is stalled by two critical barriers: a lack of realistic evaluation benchmarks and…

Computational Physics · Physics 2026-05-12 Ken Deng , Xiangfei Wang , Guijing Duan , Chen Mo , Junkun Huang , Runqing Zhang , Ling Qian , Zhiguo Huang , Jize Han , Di Luo

Large language models (LLMs) have shown increasing capability in problem-solving and decision-making, largely based on the step-by-step chain-of-thought reasoning processes. However, evaluating these reasoning abilities has become…

We present a new approach for benchmarking Large Language Model (LLM) capabilities on research-level mathematics. Existing benchmarks largely rely on static, hand-curated sets of contest or textbook-style problems as proxies for…

Artificial Intelligence · Computer Science 2026-03-02 Antoine Peyronnet , Fabian Gloeckle , Amaury Hayat

The physics community relies on index notation to effectively manipulate types of tensors. This paper introduces the first formally verified implementation of index notation in the interactive theorem prover Lean 4. By integrating index…

Logic in Computer Science · Computer Science 2024-11-13 Joseph Tooby-Smith

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

We introduce MerLean, a fully automated agentic framework for autoformalization in quantum computation. MerLean extracts mathematical statements from \LaTeX{} source files, formalizes them into verified Lean~4 code built on Mathlib, and…

Logic in Computer Science · Computer Science 2026-02-19 Yuanjie Ren , Jinzheng Li , Yidi Qi

Deep Research systems have revolutionized how LLMs solve complex questions through iterative reasoning and evidence gathering. However, current systems remain fundamentally constrained to textual web data, overlooking the vast knowledge…

Information Retrieval · Computer Science 2025-10-27 Kuicai Dong , Shurui Huang , Fangda Ye , Wei Han , Zhi Zhang , Dexun Li , Wenjun Li , Qu Yang , Gang Wang , Yichao Wang , Chen Zhang , Yong Liu

Recent progress in Large Reasoning Models (LRMs) has significantly enhanced the reasoning abilities of Large Language Models (LLMs), empowering them to tackle increasingly complex tasks through reflection capabilities, such as making…

Computation and Language · Computer Science 2025-06-26 Jianghao Chen , Zhenlin Wei , Zhenjiang Ren , Ziyong Li , Jiajun Zhang

We introduce ProofNet, a benchmark for autoformalization and formal proving of undergraduate-level mathematics. The ProofNet benchmarks consists of 371 examples, each consisting of a formal theorem statement in Lean 3, a natural language…

Computation and Language · Computer Science 2023-02-27 Zhangir Azerbayev , Bartosz Piotrowski , Hailey Schoelkopf , Edward W. Ayers , Dragomir Radev , Jeremy Avigad

Recent advancements in Large Vision-Language Models (LVLMs) have significantly enhanced their ability to integrate visual and linguistic information, achieving near-human proficiency in tasks like object recognition, captioning, and visual…

Computer Vision and Pattern Recognition · Computer Science 2025-05-14 Zhikai Wang , Jiashuo Sun , Wenqi Zhang , Zhiqiang Hu , Xin Li , Fan Wang , Deli Zhao

As the mathematical capabilities of large language models (LLMs) improve, it becomes increasingly important to evaluate their performance on research-level tasks at the frontier of mathematical knowledge. However, existing benchmarks are…

Large language models are emerging as scientific assistants, but evaluating their ability to reason from empirical data remains challenging. Benchmarks derived from published studies and human annotations inherit publication bias,…

Computation and Language · Computer Science 2026-04-16 Oliver Bentham , Vivek Srikumar

Predicting the evolution of complex physical systems remains a central problem in science and engineering. Despite rapid progress in scientific Machine Learning (ML) models, a critical bottleneck is the lack of expensive real-world data,…

Evaluating vision-language models (VLMs) in scientific domains like mathematics and physics poses unique challenges that go far beyond predicting final answers. These domains demand conceptual understanding, symbolic reasoning, and…

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

The rapid advancement of large language models (LLMs) and multimodal foundation models has sparked growing interest in their potential for scientific research. However, scientific intelligence encompasses a broad spectrum of abilities…

Artificial Intelligence · Computer Science 2025-12-30 Yaping Zhang , Qixuan Zhang , Xingquan Zhang , Zhiyuan Chen , Wenwen Zhuang , Yupu Liang , Lu Xiang , Yang Zhao , Jiajun Zhang , Yu Zhou , Chengqing Zong

The large number of published articles in physics journals under the title "Comments on ..." and "Reply to ..." is indicative that the conceptual understanding of physical phenomena is very elusive and hard to grasp even to experts, but it…

General Physics · Physics 2011-11-18 Sergio Rojas

Reasoning is central to a wide range of intellectual activities, and while the capabilities of large language models (LLMs) continue to advance, their performance in reasoning tasks remains limited. The processes and mechanisms underlying…

Artificial Intelligence · Computer Science 2024-10-07 Ippei Fujisawa , Sensho Nobe , Hiroki Seto , Rina Onda , Yoshiaki Uchida , Hiroki Ikoma , Pei-Chun Chien , Ryota Kanai