| ---
|
| license: other
|
| task_categories:
|
| - text-generation
|
| - feature-extraction
|
| language:
|
| - en
|
| tags:
|
| - theorem-proving
|
| - formal-methods
|
| - twelf
|
| - logical-framework
|
| size_categories:
|
| - 10K<n<100K
|
| dataset_info:
|
| features:
|
| - {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: source_url, dtype: string}
|
| - {name: commit, dtype: string}
|
| splits:
|
| - {name: train, num_examples: 21193}
|
| config_name: default
|
| configs:
|
| - config_name: default
|
| data_files:
|
| - split: train
|
| path: data/train-*
|
| ---
|
|
|
| # Twelf
|
|
|
| Twelf declarations, each row carrying the statement and, where present, the proof.
|
|
|
| ## Source
|
|
|
| - Repository: https://github.com/standardml/twelf
|
| - Commit: `b72cc28cd61c1114a79dcbb32f04ac6202fb379a`
|
| - Files: 1004
|
| - License: other
|
|
|
| ## Schema
|
|
|
| | Column | Type | Description |
|
| |--------|------|-------------|
|
| | statement | string | Declaration signature/claim with the leading keyword removed (verbatim slice); the full declaration minus its proof |
|
| | proof | string | Verbatim proof/body, empty if the declaration has 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, empty if absent |
|
| | source_url | string | Upstream repository |
|
| | commit | string | Upstream commit extracted |
|
|
|
| ## Statistics
|
|
|
| - Entries: 21,193
|
| - With proof: 380 (1.8%)
|
| - With docstring: 0 (0.0%)
|
| - Libraries: 66
|
|
|
| ### By type
|
|
|
| | Type | Count |
|
| |---|---|
|
| | constant | 21,193 |
|
|
|
| ## Example
|
|
|
| ```
|
| _ : nd (A imp A)
|
| = (impe
|
| (impe
|
| (impi
|
| ([u:nd (A imp (B imp A) imp A)]
|
| impi
|
| ([v:nd (A imp B imp A)]
|
| impi ([w:nd A] impe (impe u w) (impe v w)))))
|
| (impi ([u:nd A] impi ([v:nd (B imp A)] u))))
|
| (impi ([u:nd A] impi ([v:nd B] u)))).
|
| ```
|
|
|
| - type: constant | symbolic_name: `_` | examples/handbook/fol.elf
|
|
|
| ## Use
|
|
|
| Each declaration is split into a `statement` (signature/claim) and a `proof` (body) that are disjoint
|
| and together form the complete declaration, for proof modeling, autoformalization, retrieval, and
|
| dependency analysis via `deps`.
|
|
|
| ## Citation
|
|
|
| ```bibtex
|
| @misc{twelf_dataset,
|
| title = {Twelf},
|
| author = {Norton, Charles},
|
| year = {2026},
|
| note = {Extracted from https://github.com/standardml/twelf, commit b72cc28cd61c},
|
| url = {https://huggingface.co/datasets/phanerozoic/Twelf}
|
| }
|
| ```
|
|
|
