README.md

metadata

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

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

@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}
}