| --- |
| 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) |
| |
