Datasets:
Tasks:
Text Generation
Modalities:
Text
Sub-tasks:
language-modeling
Languages:
English
Size:
100K - 1M
License:
| annotations_creators: | |
| - no-annotation | |
| language: | |
| - en | |
| language_creators: | |
| - found | |
| license: [] | |
| multilinguality: | |
| - monolingual | |
| pretty_name: proof-pile | |
| size_categories: [] | |
| source_datasets: [] | |
| tags: | |
| - math | |
| - mathematics | |
| - formal-mathematics | |
| task_categories: | |
| - text-generation | |
| task_ids: | |
| - language-modeling | |
| Note: this repo is a WIP and does not yet implement all features described below. It is certainly not ready to be used to train a model. | |
| # Dataset Card for Proof-pile | |
| # Dataset Description | |
| The `proof-pile` is a 45GB pre-training dataset of mathematical text. The dataset is composed of diverse sources of both informal and formal mathematics, namely | |
| - ArXiv.math (40GB) | |
| - Open-source math textbooks (50MB) | |
| - Formal mathematics libraries (500MB) | |
| - Lean mathlib and other Lean repositories | |
| - Isabelle AFP | |
| - Coq mathematical components and other Coq repositories | |
| - HOL Light | |
| - set.mm | |
| - Mizar Mathematical Library | |
| - Math Overflow and Math Stack Exchange (500MB) | |
| - Wiki-style sources (50MB) | |
| - ProofWiki | |
| - Wikipedia math articles | |
| - MATH dataset (6MB) | |
| # Supported Tasks | |
| This dataset is intended to be used for pre-training language models. We envision models pre-trained on the `proof-pile` will have many downstream applications, including informal quantitative reasoning, formal theorem proving, semantic search for formal mathematics, and autoformalization. | |
| # Languages | |
| All informal mathematics in the `proof-pile` is written in English and LaTeX (arXiv articles in other languages are filtered out using [languagedetect](https://github.com/shuyo/language-detection/blob/wiki/ProjectHome.md)). Formal theorem proving languages represented in this dataset are Lean 3, Isabelle, Coq, HOL Light, Metamath, and Mizar. | |
| # Splits | |
| The data is sorted into `"arxiv", "books", "formal", "stack-exchange", "wiki",` and `"math-dataset"` configurations. This is so that it is easy to upsample particular configurations during pre-training with the `datasets.interleave_datasets()` function. | |
| Note that in the `"stack-exchange"`, `"wiki"`, and `"stack-exchange"` configurations, multiple documents are included in them same instance separated by the string `"<|endoftext|>"`. | |
| # Contributions: | |
| Authors: Zhangir Azerbayev, Edward Ayers, Bartosz Piotrowski. | |
| We would like to thank Jeremy Avigad for his invaluable perspective and guidance, and the Hoskinson Center for Formal Mathematics for its support. |