|
|
--- |
|
|
license: bsd-2-clause |
|
|
tags: |
|
|
- theorem-proving |
|
|
- formal-methods |
|
|
- hol-light |
|
|
- higher-order-logic |
|
|
- ocaml |
|
|
task_categories: |
|
|
- text-generation |
|
|
- feature-extraction |
|
|
language: |
|
|
- en |
|
|
size_categories: |
|
|
- 10K<n<100K |
|
|
--- |
|
|
|
|
|
# HOL-Light |
|
|
|
|
|
A structured dataset of theorems and definitions from **HOL Light**, an interactive theorem prover for higher-order logic written in OCaml. |
|
|
|
|
|
## Source |
|
|
|
|
|
- **Repository:** https://github.com/jrh13/hol-light |
|
|
- **License:** BSD-2-Clause |
|
|
|
|
|
## Statistics |
|
|
|
|
|
| Property | Value | |
|
|
|----------|-------| |
|
|
| **Total Entries** | 34,572 | |
|
|
| **Theorems** | 32,614 | |
|
|
| **Definitions** | 1,958 | |
|
|
| **Source Files** | 556 | |
|
|
|
|
|
### Top Libraries |
|
|
|
|
|
| Library | Count | |
|
|
|---------|-------| |
|
|
| Multivariate | 16,190 | |
|
|
| Library | 7,326 | |
|
|
| core | 2,584 | |
|
|
| 100 (Flyspeck) | 2,519 | |
|
|
| RichterHilbertAxiomGeometry | 1,368 | |
|
|
|
|
|
## Schema |
|
|
|
|
|
| Column | Type | Description | |
|
|
|--------|------|-------------| |
|
|
| `fact` | string | Theorem statement or definition body | |
|
|
| `type` | string | "theorem" or "definition" | |
|
|
| `library` | string | HOL Light library directory | |
|
|
| `imports` | list[string] | OCaml needs statements | |
|
|
| `filename` | string | Source .ml file | |
|
|
| `symbolic_name` | string | Theorem/definition name | |
|
|
|
|
|
## About HOL Light |
|
|
|
|
|
HOL Light is known for: |
|
|
- Flyspeck project (formal proof of Kepler conjecture) |
|
|
- Multivariate analysis library |
|
|
- Floating-point verification |
|
|
- Formalization of complex analysis |
|
|
|
|
|
## Creator |
|
|
|
|
|
Charles Norton ([phanerozoic](https://huggingface.co/phanerozoic)) |
|
|
|
