Towards a Common Framework for Autoformalization

Fuente: arXiv
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Auteurs principaux: Mensfelt, Agnieszka, Cucala, David Tena, Franco, Santiago, Koutsoukou-Argyraki, Angeliki, Trencsenyi, Vince, Stathis, Kostas
Format: Preprint
Publié: 2025
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author Mensfelt, Agnieszka
Cucala, David Tena
Franco, Santiago
Koutsoukou-Argyraki, Angeliki
Trencsenyi, Vince
Stathis, Kostas
author_facet Mensfelt, Agnieszka
Cucala, David Tena
Franco, Santiago
Koutsoukou-Argyraki, Angeliki
Trencsenyi, Vince
Stathis, Kostas
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_09810
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Towards a Common Framework for Autoformalization
Mensfelt, Agnieszka
Cucala, David Tena
Franco, Santiago
Koutsoukou-Argyraki, Angeliki
Trencsenyi, Vince
Stathis, Kostas
Artificial Intelligence
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.
title Towards a Common Framework for Autoformalization
topic Artificial Intelligence
url https://arxiv.org/abs/2509.09810