Datasets:
File size: 1,561 Bytes
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license: bsd-3-clause
tags:
- theorem-proving
- formal-methods
- hol4
- higher-order-logic
- standard-ml
task_categories:
- text-generation
- feature-extraction
language:
- en
size_categories:
- 10K<n<100K
---
# HOL4
A structured dataset of theorems and definitions from **HOL4**, a mature theorem prover for higher-order logic.
## Source
- **Repository:** https://github.com/HOL-Theorem-Prover/HOL
- **License:** BSD-3-Clause
## Statistics
| Property | Value |
|----------|-------|
| **Total Entries** | 63,341 |
| **Theorems** | 50,840 |
| **Definitions** | 12,501 |
| **Script Files** | 1,334 |
### Top Libraries
| Library | Count |
|---------|-------|
| real | 5,491 |
| examples/algebra | 3,618 |
| algebra | 3,147 |
| pred_set | 2,723 |
| examples/lambda | 2,633 |
| probability | 2,193 |
## Schema
| Column | Type | Description |
|--------|------|-------------|
| `fact` | string | Theorem statement or definition body |
| `type` | string | "theorem" or "definition" |
| `library` | string | HOL4 library/example directory |
| `imports` | list[string] | SML open statements |
| `filename` | string | Source Script.sml file |
| `symbolic_name` | string | Theorem/definition name |
## About HOL4
HOL4 is an interactive theorem prover for classical higher-order logic. Key areas:
- Real analysis and topology
- Probability theory
- Algebra (groups, rings, fields)
- Formal languages and automata
- Hardware verification
- Program verification
## Creator
Charles Norton ([phanerozoic](https://huggingface.co/phanerozoic))
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