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README.md
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---
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license: apache-2.0
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datasets:
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- hoskinson-center/proofnet
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language:
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- en
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base_model:
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- internlm/internlm2-math-7b
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- deepseek-ai/deepseek-math-7b-base
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pipeline_tag: text-generation
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library_name: transformers
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tags:
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- lean4
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- statement-autoformalization
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- formal-mathematics
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---
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<div align="center">
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<h1 style="font-size: 1.5em;">[ICLR'25 Spotlight] Rethinking and Improving Autoformalization: Towards a Faithful Metric and a Dependency Retrieval-based Approach</h1>
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<div style="display: flex; justify-content: center; gap: 8px; flex-wrap: wrap;">
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<a href="https://choosealicense.com/licenses/apache-2.0/"><img src="https://img.shields.io/badge/License-Apache%202.0-blue.svg" alt="License: Apache 2.0"></a>
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<a href="https://github.com/leanprover-community/mathlib4"><img src="https://img.shields.io/badge/Lean-4-orange" alt="Lean 4"></a>
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<a href="https://github.com/Purewhite2019/rethinking_autoformalization"><img src="https://img.shields.io/badge/GitHub-%23121011.svg?logo=github&logoColor=white" alt="GitHub"></a>
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</div>
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<h2>Qi Liu, Xinhao Zheng, Xudong Lu, Qinxiang Cao, Junchi Yan* (* indicates Correspondence author)</h2>
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<h2>Sch. of Computer Science & Sch. of Artificial Intelligence, Shanghai Jiao Tong University</h2>
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</div>
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Please refer to the [📺GitHub repo](https://github.com/Purewhite2019/rethinking_autoformalization) and
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[📃Paper](https://openreview.net/pdf?id=hUb2At2DsQ) for more details.
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## 📈 Performance
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| | **Benchmark** | **ProofNet** | **Con-NF** |
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|:---------------------:|:--------------------:|--------------|------------|
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| **InternLM2-Math 7B** | Rautoformalizer (-R) | 16.58% | 4.58% |
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| | RAutoformalizer | 18.18% | 16.86% |
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| | Rautoformalizer (+R) | 31.28% | 55.36% |
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| **DeepseekMath 7B** | Rautoformalizer (-R) | 15.24% | 4.27% |
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| | RAutoformalizer | 17.91% | 15.30% |
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| | Rautoformalizer (+R) | 32.62% | 59.00% |
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## ⚙️ Usage
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### w/o Dependency Retrieval
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- [🤗`purewhite42/rautoformalizer_nora_deepseek`](https://huggingface.co/purewhite42/rautoformalizer_nora_deepseek): w/o dependency retrieval, SFTed from [🤗`deepseek-ai/deepseek-math-7b-base`](https://huggingface.co/deepseek-ai/deepseek-math-7b-base)
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- [🤗`purewhite42/rautoformalizer_nora_internlm`](https://huggingface.co/purewhite42/rautoformalizer_nora_internlm): w/o dependency retrieval, SFTed from [🤗`internlm/internlm2-math-7b`](https://huggingface.co/internlm/internlm2-math-7b)
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```shell
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python -m autoformalizer.autoformalize_vllm_passk \
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--port ... \ # Can be arbitrarily set (should avoid conflict)
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--trust-remote-code \
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--enable-prefix-caching \
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--model /path/to/model \
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--mathlib_root ... \ # Path to Mathlib 4 or path to Con(NF)
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--eval_set ... \ # {proofnet, connf}
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--working_root /path/to/output/results \
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--dataset_root ./data/ \
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--repl_root /path/to/repl \
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--try_num 8 \
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--num_concurrency 8 \
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--temperature 0.0;
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```
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### RAutofromalizer (w/ Dependency Retrieval)
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- [🤗`purewhite42/rautoformalizer_ra_deepseek`](https://huggingface.co/purewhite42/rautoformalizer_ra_deepseek): w/ dependency retrieval (`dependency_retriever_f`), SFTed from [🤗`deepseek-ai/deepseek-math-7b-base`](https://huggingface.co/deepseek-ai/deepseek-math-7b-base)
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- [🤗`purewhite42/rautoformalizer_ra_internlm`](https://huggingface.co/purewhite42/rautoformalizer_ra_internlm): w/ dependency retrieval (`dependency_retriever_f`), SFTed from [🤗`internlm/internlm2-math-7b`](https://huggingface.co/internlm/internlm2-math-7b)
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```shell
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python -m autoformalizer.autoformalize_vllm_w_ra_passk \
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--port ... \ # Can be arbitrarily set (should avoid conflict)
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--trust-remote-code \
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--enable-prefix-caching \
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--model /path/to/model \
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--retrieval_result_path /path/to/retrieval/result \
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--mathlib_root ... \ # Path to Mathlib 4 or path to Con(NF)
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--eval_set ... \ # {proofnet, connf}
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--working_root /path/to/output/results \
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--dataset_root ./data/ \
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--repl_root /path/to/repl \
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--try_num 8 \
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--num_concurrency 8 \
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--temperature 0.0;
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```
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### Oracle RAutoformalizer (w/ Ground-truth Dependencies)
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- [🤗`purewhite42/rautoformalizer_gtra_deepseek`](https://huggingface.co/purewhite42/rautoformalizer_gtra_deepseek): w/ oracle dependency retrieval, SFTed from [🤗`deepseek-ai/deepseek-math-7b-base`](https://huggingface.co/deepseek-ai/deepseek-math-7b-base)
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- [🤗`purewhite42/rautoformalizer_gtra_internlm`](https://huggingface.co/purewhite42/rautoformalizer_gtra_internlm): w/ oracle dependency retrieval, SFTed from [🤗`internlm/internlm2-math-7b`](https://huggingface.co/internlm/internlm2-math-7b)
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```shell
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python -m autoformalizer.autoformalize_vllm_w_gt_passk \
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--port ... \ # Can be arbitrarily set (should avoid conflict)
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--trust-remote-code \
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--enable-prefix-caching \
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--model /path/to/model \
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--mathlib_root ... \ # Path to Mathlib 4 or path to Con(NF)
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--eval_set ... \ # {proofnet, connf}
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--working_root /path/to/output/results \
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--dataset_root ./data/ \
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--repl_root /path/to/repl \
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--try_num 8 \
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--num_concurrency 8 \
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--temperature 0.0;
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```
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## 📚 Citation
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If you find our work useful in your research, please cite
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```bibtex
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@inproceedings{
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liu2025rethinking,
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title={Rethinking and improving autoformalization: towards a faithful metric and a Dependency Retrieval-based approach},
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author={Qi Liu and Xinhao Zheng and Xudong Lu and Qinxiang Cao and Junchi Yan},
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booktitle={The Thirteenth International Conference on Learning Representations},
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year={2025},
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url={https://openreview.net/forum?id=hUb2At2DsQ}
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}
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```
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# License
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This project is released under the Apache 2.0 license. Please see the [LICENSE](https://github.com/Purewhite2019/rethinking_autoformalization/blob/main/LICENSE) file for more information.
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# Contact
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Feel free to discuss the paper/data/code with us through issues/emails!
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- Qi Liu: [email protected]
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