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Neural theorem proving tutorial II

Neural theorem proving combines neural language models with formal proof assistants.
This tutorial introduces two research threads in neural theorem proving via interactive Jupyter notebooks.

This is an updated version of https://github.com/wellecks/ntptutorial.

[slides]

Part I : Next-step suggestion

Builds a neural next-step suggestion tool, introducing concepts and past work in neural theorem proving along the way.

Notebooks:

Topic Notebook
0. Intro notebook
1. Data notebook
2. Learning notebook
3. Proof Search notebook
4. Evaluation notebook
5. Context notebook
6. LLMLean tool notebook

All notebooks are in (partI_nextstep/notebooks).

Artifacts:

Name Huggingface
Data: mathlib extractions l3lab/ntp-mathlib
Data: instructions (state-tactic) l3lab/ntp-mathlib-instruct-st
Data: instructions (+context) l3lab/ntp-mathlib-instruct-ctx
Model: state-tactic l3lab/ntp-mathlib-st-deepseek-coder-1.3b
Model: +context l3lab/ntp-mathlib-context-deepseek-coder-1.3b

Setup:

Please follow the setup instructions in partI_nextstep/README.md.

Part II : Language cascades

Chain together language models to guide formal proof search with informal proofs.

Notebooks:

Topic Notebook
1. Language model cascades notebook
2. Draft, Sketch, Prove notebook

All notebooks are in (partII_dsp/notebooks).

Setup:

Please follow the setup instructions in partII_dsp/README.md.


History

This is an updated version of A tutorial on neural theorem proving (https://github.com/wellecks/ntptutorial).
Please see the repository for more details.

Citation

Until there is an associated preprint, please cite this repository:

@misc{ntptutorial,
  author = {Sean Welleck},
  title = {Neural theorem proving tutorial II},
  year = {2023},
  publisher = {GitHub},
  journal = {GitHub repository},
  howpublished = {\url{https://github.com/cmu-l3/ntptutorial-II}},
}

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  • Jupyter Notebook 44.3%
  • Lean 27.7%
  • Python 26.7%
  • Shell 1.3%