---
license: other
task_categories:
  - text-generation
  - feature-extraction
language:
  - en
tags:
  - theorem-proving
  - formal-methods
  - hol-zero
  - higher-order-logic
size_categories:
  - 10K<n<100K
dataset_info:
  features:
  - {name: fact, dtype: string}
  - {name: statement, dtype: string}
  - {name: proof, dtype: string}
  - {name: type, dtype: string}
  - {name: symbolic_name, dtype: string}
  - {name: library, dtype: string}
  - {name: filename, dtype: string}
  - {name: imports, list: string}
  - {name: deps, list: string}
  - {name: docstring, dtype: string}
  - {name: line_start, dtype: int64}
  - {name: line_end, dtype: int64}
  - {name: has_proof, dtype: bool}
  - {name: source_url, dtype: string}
  - {name: commit, dtype: string}
  splits:
  - {name: train, num_examples: 248}
  config_name: default
configs:
- config_name: default
  data_files:
  - split: train
    path: data/train-*
---

# HOLZero

Declarations from HOL Zero, a minimalist HOL theorem prover by Mark Adams.

## Source

- Repository: http://www.proof-technologies.com/holzero/
- Commit: `0.6.3`
- Files: 39
- License: other

## Schema

| Column | Type | Description |
|--------|------|-------------|
| fact | string | Complete verbatim declaration (keyword, signature, and body/proof) |
| statement | string | Signature with the leading keyword removed (verbatim slice) |
| proof | string | Verbatim proof/body, empty if none |
| type | string | Declaration keyword |
| symbolic_name | string | Declaration identifier |
| library | string | Sub-library |
| filename | string | Repository-relative source path |
| imports | list[string] | File-level `Require`/`Import` modules |
| deps | list[string] | Intra-corpus identifiers referenced |
| docstring | string | Preceding documentation comment, null if absent |
| line_start | int | First source line |
| line_end | int | Last source line |
| has_proof | bool | Whether a proof block was captured |
| source_url | string | Upstream repository |
| commit | string | Upstream commit extracted |

## Statistics

- Entries: 248
- With proof: 24 (9.7%)
- With docstring: 0 (0.0%)
- Libraries: 1

### By type

| Type | Count |
|---|---|
| theorem | 218 |
| definition | 29 |
| axiom | 1 |

## Example

```coq
false = (!(p:bool). p)
```

- type: definition | symbolic_name: `false_def` | src/bool.ml:48

## Use

Statement and proof are available both joined (`fact`) and split (`statement`, `proof`) for
proof-term modeling, autoformalization, retrieval, and dependency analysis via `deps`.

## Citation

```bibtex
@misc{holzero_dataset,
  title  = {HOLZero},
  author = {Norton, Charles},
  year   = {2026},
  note   = {Extracted from http://www.proof-technologies.com/holzero/, commit 0.6.3},
  url    = {https://huggingface.co/datasets/phanerozoic/HOLZero}
}
```