README.md

---
dataset_info:
  features:
  - name: id
    dtype: string
  - name: nl_statement
    dtype: string
  - name: lean4_src_header
    dtype: string
  - name: lean4_formalization
    dtype: string
  splits:
  - name: valid
    num_bytes: 79083.7601078167
    num_examples: 185
  - name: test
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    num_examples: 186
  download_size: 68793
  dataset_size: 158595.0
configs:
- config_name: default
  data_files:
  - split: valid
    path: data/valid-*
  - split: test
    path: data/test-*
---

# ProofNet#

ProofNet# is a Lean 4 port of the [ProofNet](https://huggingface.co/datasets/hoskinson-center/proofnet) benchmark including fixes.
This benchmark has been made compatible for all Lean versions between v4.7.0 and v4.16.0.

A comparison with some of the other existing ports can be found at:
https://proofnet4-fix.streamlit.app/.

### Original 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.

## Citation

ProofNet# is introduced in [Improving Autoformalization using Type Checking](https://arxiv.org/abs/2406.07222).
```bibtex
@misc{poiroux2024improvingautoformalizationusingtype,
    title={Improving Autoformalization using Type Checking}, 
    author={Auguste Poiroux and Gail Weiss and Viktor Kunčak and Antoine Bosselut},
    year={2024},
    eprint={2406.07222},
    archivePrefix={arXiv},
    primaryClass={cs.CL},
    url={https://arxiv.org/abs/2406.07222}, 
}
```

Original work where ProofNet has been introduced:
```bibtex
@misc{azerbayev2023proofnet,
      title={ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics}, 
      author={Zhangir Azerbayev and Bartosz Piotrowski and Hailey Schoelkopf and Edward W. Ayers and Dragomir Radev and Jeremy Avigad},
      year={2023},
      eprint={2302.12433},
      archivePrefix={arXiv},
      primaryClass={cs.CL}
}
```

## Data Fields

    id: Unique string identifier for the problem.
    nl_statement: Natural language theorem statement.
    lean4_src_header: File header including imports, namespaces, and locales required for the formal statement.
    lean4_formalization: Formal theorem statement in Lean 4.