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Related papers: FMC: Formalization of Natural Language Mathematica…

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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…

Large language models have demonstrated impressive capabilities across various natural language processing tasks, especially in solving mathematical problems. However, large language models are not good at math theorem proving using formal…

Computation and Language · Computer Science 2025-06-19 Huaiyuan Ying , Zijian Wu , Yihan Geng , Zheng Yuan , Dahua Lin , Kai Chen

Autoformalization is the process of automatically translating from natural language mathematics to formal specifications and proofs. A successful autoformalization system could advance the fields of formal verification, program synthesis,…

Machine Learning · Computer Science 2022-05-26 Yuhuai Wu , Albert Q. Jiang , Wenda Li , Markus N. Rabe , Charles Staats , Mateja Jamnik , Christian Szegedy

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

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

Autoformalization, the process of transforming informal mathematical language into formal specifications and proofs remains a difficult task for state-of-the-art (large) language models. Existing works point to competing explanations for…

Artificial Intelligence · Computer Science 2025-02-25 Willy Chan , Michael Souliman , Jakob Nordhagen , Brando Miranda , Elyas Obbad , Kai Fronsdal Sanmi Koyejo

Mathematical optimization is fundamental to decision-making across diverse domains, from operations research to healthcare. Yet, translating real-world problems into optimization models remains a difficult task, often demanding specialized…

Machine Learning · Computer Science 2025-06-06 Nicolás Astorga , Tennison Liu , Yuanzhang Xiao , Mihaela van der Schaar

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

Autoformalization is the task of automatically translating mathematical content written in natural language to a formal language expression. The growing language interpretation capabilities of Large Language Models (LLMs), including in…

Computation and Language · Computer Science 2025-06-16 Lan Zhang , Xin Quan , Andre Freitas

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

Autoformalization, the conversion of natural language mathematics into formal languages, offers significant potential for advancing mathematical reasoning. However, existing efforts are limited to formal languages with substantial online…

Recent advances in large language models show strong promise for formal reasoning. However, most LLM-based theorem provers have long been constrained by the need for expert-written formal statements as inputs, limiting their applicability…

Evaluating statement autoformalization, translating natural language mathematics into formal languages like Lean 4, remains a significant challenge, with few metrics, datasets, and standards to robustly measure progress. In this work, we…

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

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

Thanks to their linguistic capabilities, LLMs offer an opportunity to bridge the gap between informal mathematics and formal languages through autoformalization. However, it is still unclear how well LLMs generalize to sophisticated and…

Computation and Language · Computer Science 2025-09-05 Lan Zhang , Marco Valentino , Andre Freitas

Autoformalization is the task of translating natural language materials into machine-verifiable formalisations. Progress in autoformalization research is hindered by the lack of a sizeable dataset consisting of informal-formal pairs…

Computation and Language · Computer Science 2023-11-10 Albert Q. Jiang , Wenda Li , Mateja Jamnik

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

Formalizing mathematical proofs using computerized verification languages like Lean 4 has the potential to significantly impact the field of mathematics, it offers prominent capabilities for advancing mathematical reasoning. However,…

Computation and Language · Computer Science 2024-11-11 Xichen Tang

Autoformalization, which translates natural language mathematics into machine-verifiable formal statements, is critical for using formal mathematical reasoning to solve math problems stated in natural language. While Large Language Models…

Computation and Language · Computer Science 2026-02-11 Guoxin Chen , Jing Wu , Xinjie Chen , Wayne Xin Zhao , Ruihua Song , Chengxi Li , Kai Fan , Dayiheng Liu , Minpeng Liao

This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed
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