README.md

metadata

license: other
task_categories:
  - text-generation
  - feature-extraction
language:
  - en
tags:
  - theorem-proving
  - formal-methods
  - redprl
  - cubical-type-theory
  - computational-type-theory
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: 348
  config_name: default
configs:
  - config_name: default
    data_files:
      - split: train
        path: data/train-*

RedPRL

Declarations from RedPRL, a cubical/computational type theory system.

Source

• Repository: https://github.com/RedPRL/sml-redprl
• Commit: c72190de76f7ed1cfbe1d2046c96e99ac5022b0c
• Files: 57
• License: other

Schema

Column	Type	Description
fact	string	Verbatim declaration with the leading keyword removed: signature and body/proof joined
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]	Unused (RedPRL has no import statements); always empty
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: 348
• With proof: 347 (99.7%)
• With docstring: 0 (0.0%)
• Libraries: 3

By type

Type	Count
theorem	263
define	69
tactic	11
data	5

Example

Test(#l:lvl) : (Category (++#l)) by {
  { ob = `(U #l)
  , hom = lam ty/a ty/b => `(-> ty/a ty/b)
  , idn = lam ty/a x => `x
  , cmp = lam ty/a ty/b ty/a f g x => use f [use g [`x]]
  , idn/l = lam _ _ _ => auto
  , idn/r = lam _ _ _ => auto
  , assoc = lam _ _ _ _ _ _ _ => auto
  }
}.

• type: theorem | symbolic_name: Test | example/category.prl:33

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{redprl_dataset,
  title  = {RedPRL},
  author = {Norton, Charles},
  year   = {2026},
  note   = {Extracted from https://github.com/RedPRL/sml-redprl, commit c72190de76f7},
  url    = {https://huggingface.co/datasets/phanerozoic/RedPRL}
}