提出统一框架,整合数学与通用领域的形式化自动化研究
Towards a Common Framework for Autoformalization
- 梳理数学与非数学领域中隐含的形式化任务,建立共通概念体系
- 指出当前研究分散导致方法、数据、评估标准难以共享
- 适合从事AI推理、知识表示与自动定理证明的研究者参考
自动形式化(autoformalization)指利用交互式定理证明器自动化地将数学内容转化为形式化表达。随着大语言模型(LLMs)的发展,该领域迅速扩张,已从数学延伸至更广泛的非形式化语言向形式逻辑表达的转换任务。尽管众多研究涉及类似问题,如基于语言模型进行推理、规划和知识表征的形式化转化,但往往未明确归入‘自动形式化’范畴。这种分散发展限制了方法、基准和理论框架的共享,阻碍了整体进步。本文旨在系统回顾这些显性或隐性的自动形式化实例,提出一个统一框架,推动跨领域协作,加速下一代人工智能系统的发展。
原文摘要 · Abstract (English)
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 deep learning, especially large language models (LLMs). More recently, the term has expanded beyond mathematics to describe the broader task of translating informal input into formal logical representations. At the same time, a growing body of research explores using LLMs to translate informal language into formal representations for reasoning, planning, and knowledge representation - often without explicitly referring to this process as autoformalization. As a result, despite addressing similar tasks, the largely independent development of these research areas has limited opportunities for shared methodologies, benchmarks, and theoretical frameworks that could accelerate progress. The goal of this paper is to review - explicit or implicit - instances of what can be considered autoformalization and to propose a unified framework, encouraging cross-pollination between different fields to advance the development of next generation AI systems.
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