What happened?
The M2F paper reported a two-stage statement-compilation and proof-repair pipeline that converted 479 pages of real- and convex-analysis material into a 153,853-line Lean project and achieved 96% proof success on FATE-H in its fully automatic setting; generated Lean code was released publicly.
M2F first translates long mathematical documents into dependency-ordered Lean declaration skeletons and repairs project-level structural inconsistencies, then freezes statement signatures and iteratively closes proof holes using verifier feedback. The companion ReasBook repository exposes generated formalizations from textbooks and research papers.
Why it matters
Project-scale autoformalization changes the unit of automation from one problem at a time to coherent mathematical literature with shared definitions and dependencies, a prerequisite for turning large informal corpora into reusable formal libraries.
Significance rationale: M2F moved automated formalization from single theorem statements toward dependency-aware, document- and project-scale Lean generation, addressing imports, declarations, proof holes and whole-project compilation as one workflow.
Evidence & status at a glance
- Significance
- H2 · Field milestone
- Verification
- Paper released
- Evidence level
- E3 · Inspectable artifact
- AI role
- Autonomous primary role
- Formal assurance
- Machine-checked
How should these labels be read? →
Contribution & verification
- Mathematical novelty
- Tooling only
- Interface
- Informal, Formal, Hybrid
- AI contribution
- The system automatically translates statements, repairs declarations and closes proof holes while using Lean toolchain feedback to accept or reject project edits.
- Human contribution
- Researchers designed the staged formalization pipeline, prepared source documents and evaluation protocol, and report human checks for whether extracted natural-language theorems and their formal statements align with the original mathematics.
- Verification
- Paper released · E3 · Inspectable artifact · Machine-checked
- Last reviewed
- 2026-09-11
Technical details
- Systems
- m2f, reasbook, lean
- Organizations
- peking-university
- Problems
- project-scale-autoformalization, mathematical-literature-formalization
- Methods
- autoformalization, dependency-ordering, verifier-guided-repair, proof-repair, lean
Verification history
- 2026-02-19 · Paper released · E2 · Research record
The arXiv paper introduced M2F and reported project-scale formalization and FATE-H results.
- 2026-09-11 · Paper released · E3 · Inspectable artifact
The public M2F and ReasBook repositories expose the framework, examples and generated Lean projects. Machine-checked refers to Lean compilation and proof checking in the released workflow; it does not establish independent semantic review of every generated formalization.
Corrections
No corrections recorded.