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Main Authors: Weng, Ke, Du, Lun, Li, Sirui, Lu, Wangyue, Sun, Haozhe, Liu, Hengyu, Zhang, Tiancheng
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.23486
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author Weng, Ke
Du, Lun
Li, Sirui
Lu, Wangyue
Sun, Haozhe
Liu, Hengyu
Zhang, Tiancheng
author_facet Weng, Ke
Du, Lun
Li, Sirui
Lu, Wangyue
Sun, Haozhe
Liu, Hengyu
Zhang, Tiancheng
contents 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 theoretical and applied domains. Driven by the rapid progress in artificial intelligence, particularly large language models (LLMs), this field has witnessed substantial growth, bringing both new opportunities and unique challenges. In this survey, we provide a comprehensive overview of recent advances in autoformalization from both mathematical and LLM-centric perspectives. We examine how autoformalization is applied across various mathematical domains and levels of difficulty, and analyze the end-to-end workflow from data preprocessing to model design and evaluation. We further explore the emerging role of autoformalization in enhancing the verifiability of LLM-generated outputs, highlighting its potential to improve both the trustworthiness and reasoning capabilities of LLMs. Finally, we summarize key open-source models and datasets supporting current research, and discuss open challenges and promising future directions for the field.
format Preprint
id arxiv_https___arxiv_org_abs_2505_23486
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Autoformalization in the Era of Large Language Models: A Survey
Weng, Ke
Du, Lun
Li, Sirui
Lu, Wangyue
Sun, Haozhe
Liu, Hengyu
Zhang, Tiancheng
Artificial Intelligence
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 theoretical and applied domains. Driven by the rapid progress in artificial intelligence, particularly large language models (LLMs), this field has witnessed substantial growth, bringing both new opportunities and unique challenges. In this survey, we provide a comprehensive overview of recent advances in autoformalization from both mathematical and LLM-centric perspectives. We examine how autoformalization is applied across various mathematical domains and levels of difficulty, and analyze the end-to-end workflow from data preprocessing to model design and evaluation. We further explore the emerging role of autoformalization in enhancing the verifiability of LLM-generated outputs, highlighting its potential to improve both the trustworthiness and reasoning capabilities of LLMs. Finally, we summarize key open-source models and datasets supporting current research, and discuss open challenges and promising future directions for the field.
title Autoformalization in the Era of Large Language Models: A Survey
topic Artificial Intelligence
url https://arxiv.org/abs/2505.23486