---
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.