Datasets:
metadata
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)