| ---
|
| license: other
|
| task_categories:
|
| - text-generation
|
| - feature-extraction
|
| language:
|
| - en
|
| tags:
|
| - theorem-proving
|
| - formal-methods
|
| - redtt
|
| - cubical-type-theory
|
| - homotopy-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: 501}
|
| config_name: default
|
| configs:
|
| - config_name: default
|
| data_files:
|
| - split: train
|
| path: data/train-*
|
| ---
|
|
|
| # redtt
|
|
|
| Declarations from redtt, a cubical/computational type theory system.
|
|
|
| ## Source
|
|
|
| - Repository: https://github.com/RedPRL/redtt
|
| - Commit: `ae76658873a647eb43d8cf84365a9d68e9a3273c`
|
| - Files: 66
|
| - 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] | File-level `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: 501
|
| - With proof: 501 (100.0%)
|
| - With docstring: 19 (3.8%)
|
| - Libraries: 6
|
|
|
| ### By type
|
|
|
| | Type | Count |
|
| |---|---|
|
| | def | 478 |
|
| | data | 23 |
|
|
|
| ## Example
|
|
|
| ```coq
|
| biinv-equiv→iso (A B : type) : biinv-equiv A B → iso A B =
|
| λ (f,(g,α),h,β) →
|
| let β' (a : A) : path _ (g (f a)) a =
|
| λ i →
|
| comp 0 1 (h (α (f a) i)) [
|
| | i=0 j → β (g (f a)) j
|
| | i=1 j → β a j
|
| ]
|
| in
|
| (f,g,α,β')
|
| ```
|
|
|
| - type: def | symbolic_name: `biinv-equiv→iso` | library/basics/biinv-equiv.red:12
|
|
|
| ## 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{redtt_dataset,
|
| title = {redtt},
|
| author = {Norton, Charles},
|
| year = {2026},
|
| note = {Extracted from https://github.com/RedPRL/redtt, commit ae76658873a6},
|
| url = {https://huggingface.co/datasets/phanerozoic/redtt}
|
| }
|
| ```
|
| |
