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[2602.17016] M2F: Automated Formalization of Mathematical Literature at Scale
Summary
The paper presents M2F, an innovative framework for the automated formalization of mathematical literature, enabling project-scale conversion of texts into formalized Lean code, significantly reducing the time required for such tasks.
Why It Matters
Automated formalization of mathematics is crucial for enhancing the reliability of mathematical proofs and integrating them into computational systems. M2F's ability to handle large-scale documents addresses a significant gap in current methodologies, potentially transforming how mathematical literature is processed and verified.
Key Takeaways
- M2F automates the formalization of extensive mathematical texts, achieving project-scale results.
- The framework operates in two stages: statement compilation and proof repair, ensuring comprehensive verification.
- M2F can convert lengthy textbooks into formalized Lean libraries in a fraction of the time typically required.
Computer Science > Artificial Intelligence arXiv:2602.17016 (cs) [Submitted on 19 Feb 2026] Title:M2F: Automated Formalization of Mathematical Literature at Scale Authors:Zichen Wang, Wanli Ma, Zhenyu Ming, Gong Zhang, Kun Yuan, Zaiwen Wen View a PDF of the paper titled M2F: Automated Formalization of Mathematical Literature at Scale, by Zichen Wang and 5 other authors View PDF HTML (experimental) Abstract: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 dependencies, resolving imports, and ensuring that entire projects compile end-to-end. We present M2F (Math-to-Formal), the first agentic framework for end-to-end, project-scale autoformalization in Lean. The framework operates in two stages. The statement compilation stage splits the document into atomic blocks, orders them via inferred dependencies, and repairs declaration skeletons until the project compiles, allowing placeholders in proofs. The proof repair stage closes these holes under fixed signatures using goal-conditioned local edits. Throughout both stages, M2F keeps the verifier in the loop, committing edits only when toolchain feedback confirms improvement. In approximately three weeks, M2F converts long-form mathematical sources into a project-scale Lean library of 153,853 lines from 479 pages textbooks on real analysis and convex...