|
|
--- |
|
|
license: other |
|
|
license_name: cecill-b |
|
|
license_link: https://cecill.info/licences/Licence_CeCILL-B_V1-en.html |
|
|
task_categories: |
|
|
- text-generation |
|
|
- feature-extraction |
|
|
language: |
|
|
- en |
|
|
tags: |
|
|
- theorem-proving |
|
|
- formal-methods |
|
|
- coq |
|
|
- mathcomp |
|
|
- algebra |
|
|
- mathematics |
|
|
size_categories: |
|
|
- 10K<n<100K |
|
|
dataset_info: |
|
|
features: |
|
|
- name: fact |
|
|
dtype: string |
|
|
- name: type |
|
|
dtype: string |
|
|
- name: library |
|
|
dtype: string |
|
|
- name: imports |
|
|
list: string |
|
|
- name: filename |
|
|
dtype: string |
|
|
- name: symbolic_name |
|
|
dtype: string |
|
|
- name: docstring |
|
|
dtype: string |
|
|
splits: |
|
|
- name: train |
|
|
num_bytes: 10218663 |
|
|
num_examples: 19924 |
|
|
download_size: 1831894 |
|
|
dataset_size: 10218663 |
|
|
configs: |
|
|
- config_name: default |
|
|
data_files: |
|
|
- split: train |
|
|
path: data/train-* |
|
|
--- |
|
|
|
|
|
# Coq-MathComp |
|
|
|
|
|
Structured dataset from the Mathematical Components library (MathComp) for Coq. |
|
|
|
|
|
## Dataset Description |
|
|
|
|
|
- **Source:** [math-comp/math-comp](https://github.com/math-comp/math-comp) (v2.5.0) |
|
|
- **Entries:** 19,924 |
|
|
- **Files processed:** 115 |
|
|
- **License:** CeCILL-B |
|
|
|
|
|
## Schema |
|
|
|
|
|
| Column | Type | Description | |
|
|
|--------|------|-------------| |
|
|
| fact | string | Declaration body | |
|
|
| type | string | Lemma, Definition, HB.structure, HB.mixin, Canonical, etc. | |
|
|
| library | string | Module (algebra, boot, fingroup, character, etc.) | |
|
|
| imports | list | Require/Import statements | |
|
|
| filename | string | Source file path | |
|
|
| symbolic_name | string | Declaration identifier | |
|
|
|
|
|
## Statistics |
|
|
|
|
|
### By Type |
|
|
| Type | Count | |
|
|
|------|-------| |
|
|
| Lemma | 14,917 | |
|
|
| Definition | 2,850 | |
|
|
| Notation | 808 | |
|
|
| Canonical | 425 | |
|
|
| HB.instance | 247 | |
|
|
| Fixpoint | 138 | |
|
|
| Coercion | 116 | |
|
|
| Variant | 104 | |
|
|
| Theorem | 63 | |
|
|
| HB.structure | 51 | |
|
|
| HB.mixin | 50 | |
|
|
|
|
|
### By Library |
|
|
| Library | Count | |
|
|
|---------|-------| |
|
|
| algebra | 7,455 | |
|
|
| boot | 4,591 | |
|
|
| fingroup | 1,995 | |
|
|
| character | 1,864 | |
|
|
| solvable | 1,747 | |
|
|
| order | 1,197 | |
|
|
| field | 1,048 | |
|
|
|
|
|
## About MathComp |
|
|
|
|
|
Mathematical Components is a library of formalized mathematics for Coq, including algebra, number theory, and finite group theory. It uses the SSReflect proof language and Hierarchy Builder (HB) for structure definitions. |
|
|
|
|
|
## Use Cases |
|
|
|
|
|
- Retrieval/RAG for Coq/MathComp |
|
|
- Learning SSReflect patterns |
|
|
- Algebraic formalization research |
|
|
- Training embeddings for formal proofs |
|
|
|
|
|
## Related Datasets |
|
|
|
|
|
- [Coq-HoTT](https://huggingface.co/datasets/phanerozoic/Coq-HoTT) |
|
|
- [Coq-UniMath](https://huggingface.co/datasets/phanerozoic/Coq-UniMath) |
|
|
- [Coq-Stdlib](https://huggingface.co/datasets/phanerozoic/Coq-Stdlib) |
|
|
- [Coq-Iris](https://huggingface.co/datasets/phanerozoic/Coq-Iris) |
|
|
|
