metadata
license: mit
ProofNet
Dataset Description
- Repository: zhangir-azerbayev/ProofNet
- Paper: ProofNet
- Point of Contact: Zhangir Azerbayev
Dataset Summary
ProofNet is a benchmark for autoformalization and formal proving of undergraduate-level mathematics. The ProofNet benchmarks consists of 371 examples, each consisting of a formal theorem statement in Lean 3, a natural language theorem statement, and a natural language proof. The problems are primarily drawn from popular undergraduate pure mathematics textbooks and cover topics such as real and complex analysis, linear algebra, abstract algebra, and topology. We intend for ProofNet to be a challenging benchmark that will drive progress in autoformalization and automatic theorem proving.
Leaderboard
Statement Autoformalization
| Model | Typecheck Rate | Accuracy |
|---|---|---|
| Davinci-code-002 (prompt retrieval) | 45.2 | 16.1 |
| Davinci-code-002 (in-context learning) | 23.7 | 13.4 |
| proofGPT-1.3B | 10.7 | 3.2 |
Statement Informalization
| Model | Accuracy |
|---|---|
| Code-davinci-002 (in-context learning) | 62.3 |
| proofGPT-6.7B (in-context learning) | 6.5 |
| proofGPT-1.3B (in-context learning) | 4.3 |
Data Fields
id: Unique string identifier for the problem.nl_statement: Natural language theorem statement.nl_proof: Natural language proof, in LaTeX. Depends onamsthm, amsmath, amssymbpackages.formal_statement: Formal theorem statement in Lean 3.src_header: File header including imports, namespaces, and locales required for the formal statement. Note that local import of common.lean, which has to be manually downloaded and place in the same directory as your.leanfile containing the formal statement.
Authors
Zhangir Azerbayev, Bartosz Piotrowski, Jeremy Avigad