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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…

Verifying mathematical proofs is difficult, but can be automated with the assistance of a computer. Autoformalization is the task of automatically translating natural language mathematics into a formal language that can be verified by a…

Computation and Language · Computer Science 2024-07-11 Nilay Patel , Rahul Saha , Jeffrey Flanigan

Efficient and accurate autoformalization methods, which leverage large-scale datasets of extensive natural language mathematical problems to construct formal language datasets, are key to advancing formal mathematical reasoning. In this…

Computation and Language · Computer Science 2025-07-16 Jiaxuan Xie , Chengwu Liu , Ye Yuan , Siqi Li , Zhiping Xiao , Ming Zhang

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

Autoformalization, the process of transforming informal mathematical propositions into verifiable formal representations, is a foundational task in automated theorem proving, offering a new perspective on the use of mathematics in both…

Artificial Intelligence · Computer Science 2025-07-04 Ke Weng , Lun Du , Sirui Li , Wangyue Lu , Haozhe Sun , Hengyu Liu , Tiancheng Zhang

Large Language Models (LLMs) are increasingly capable of generating complete applications from natural language instructions, creating new opportunities in science and education. In these domains, interactive scientific demonstrations are…

Software Engineering · Computer Science 2026-05-21 Qiaosheng Chen , Yang Liu , Lei Li , Kai Chen , Qipeng Guo , Gong Cheng , Fei Yuan

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

Autoformalization aims to convert informal mathematical proofs into machine-verifiable formats, bridging the gap between natural and formal languages. However, ensuring semantic alignment between the informal and formalized statements…

Computation and Language · Computer Science 2024-10-15 Jianqiao Lu , Yingjia Wan , Yinya Huang , Jing Xiong , Zhengying Liu , Zhijiang Guo

Autoformalization, the task of automatically translating natural language descriptions into a formal language, poses a significant challenge across various domains, especially in mathematics. Recent advancements in large language models…

Computation and Language · Computer Science 2024-12-09 Zenan Li , Yifan Wu , Zhaoyu Li , Xinming Wei , Xian Zhang , Fan Yang , Xiaoxing Ma

Autoformalization has emerged as a term referring to the automation of formalization - specifically, the formalization of mathematics using interactive theorem provers (proof assistants). Its rapid development has been driven by progress in…

Artificial Intelligence · Computer Science 2025-12-16 Agnieszka Mensfelt , David Tena Cucala , Santiago Franco , Angeliki Koutsoukou-Argyraki , Vince Trencsenyi , Kostas Stathis

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

Automated formalization of mathematics enables mechanical verification but remains limited to isolated theorems and short snippets. Scaling to textbooks and research papers is largely unaddressed, as it requires managing cross-file…

Artificial Intelligence · Computer Science 2026-02-20 Zichen Wang , Wanli Ma , Zhenyu Ming , Gong Zhang , Kun Yuan , Zaiwen Wen

Finite element (FE) analysis guides the design and verification of nearly all manufactured objects. It is at the core of computational engineering, enabling simulation of complex physical systems, from fluids and solids to multiphysics…

Computational Engineering, Finance, and Science · Computer Science 2026-04-15 Rushikesh Deotale , Adithya Srinivasan , Yuan Tian , Tianyi Zhang , Pavlos Vlachos , Hector Gomez

Autoformalization, the process of translating informal statements into formal logic, has gained renewed interest with the emergence of powerful Large Language Models (LLMs). While LLMs show promise in generating structured outputs from…

Computation and Language · Computer Science 2025-11-18 Mihir Gupte , Ramesh S

We present MOSAIC, a multi-agent Large Language Model (LLM) framework for solving challenging scientific coding tasks. Unlike general-purpose coding, scientific workflows require algorithms that are rigorous, interconnected with deep domain…

Computation and Language · Computer Science 2026-05-05 Siddeshwar Raghavan , Tanwi Mallick

Mathematics formalisation is the task of writing mathematics (i.e., definitions, theorem statements, proofs) in natural language, as found in books and papers, into a formal language that can then be checked for correctness by a program. It…

Computation and Language · Computer Science 2022-11-15 Ayush Agrawal , Siddhartha Gadgil , Navin Goyal , Ashvni Narayanan , Anand Tadipatri

Recent progress in large language model (LLM) reasoning has focused on domains like mathematics and coding, where abundant high-quality data and objective evaluation metrics are readily available. In contrast, progress in LLM reasoning…

Artificial Intelligence · Computer Science 2026-01-12 Tengxiao Liu , Deepak Nathani , Zekun Li , Kevin Yang , William Yang Wang

We present AutoformBot, a multi-agent system for building an Autoformalized Textbook Library At Scale (Atlas) in Lean 4. AutoformBot orchestrates thousands of LLM agents, equipped with formal verification tools, dependency-aware task…

Artificial Intelligence · Computer Science 2026-05-29 Ahmad Rammal , Niket Patel , Fabian Gloeckle , Amaury Hayat , Julia Kempe , Remi Munos , Charles Arnal , Vivien Cabannes

Agentic large language models are proposed as autonomous code generators for scientific computing, yet their reliability in high-stakes problems remains unclear. Developing computational scientific software from natural-language queries…

Multiagent Systems · Computer Science 2025-12-02 Vansh Sharma , Venkat Raman

As Large Language Models (LLMs) become ubiquitous across various scientific domains, their lack of ability to perform complex tasks like running simulations or to make complex decisions limits their utility. LLM-based agents bridge this gap…

Computation and Language · Computer Science 2026-01-21 Anurag Acharya , Timothy Vega , Rizwan A. Ashraf , Anshu Sharma , Derek Parker , Robert Rallo
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