| ---
|
| license: other
|
| task_categories:
|
| - text-generation
|
| - feature-extraction
|
| language:
|
| - en
|
| tags:
|
| - theorem-proving
|
| - formal-methods
|
| - arend
|
| 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: 2690}
|
| config_name: default
|
| configs:
|
| - config_name: default
|
| data_files:
|
| - split: train
|
| path: data/train-*
|
| ---
|
|
|
| # Arend
|
|
|
| Declarations from Arend.
|
|
|
| ## Source
|
|
|
| - Repository: https://github.com/JetBrains/arend-lib
|
| - Commit: `373ed3c493f40a6b7b04a6b81c4e809338e568c4`
|
| - Files: 280
|
| - 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: 2,690
|
| - With proof: 2,682 (99.7%)
|
| - With docstring: 0 (0.0%)
|
| - Libraries: 53
|
|
|
| ### By type
|
|
|
| | Type | Count |
|
| |---|---|
|
| | \func | 968 |
|
| | \lemma | 920 |
|
| | \class | 334 |
|
| | \instance | 249 |
|
| | \record | 93 |
|
| | \data | 59 |
|
| | \type | 37 |
|
| | \sfunc | 12 |
|
| | \cons | 9 |
|
| | \meta | 7 |
|
| | \axiom | 2 |
|
|
|
| ## Example
|
|
|
| ```
|
| Mono
|
| \extends Map
|
| | isMono {x : C} {g h : Hom x dom} : f ∘ g = f ∘ h -> g = h
|
| \where {
|
| \func comp {C : Precat} {x y z : C} (g : Mono {C} {y} {z}) (f : Mono {C} {x} {y}) : Mono {C} {x} {z} (g.f ∘ f) \cowith
|
| | isMono p => f.isMono (g.isMono (inv o-assoc *> p *> o-assoc))
|
| }
|
| ```
|
|
|
| - type: \record | symbolic_name: `Mono` | src/Category.ard
|
|
|
| ## 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{arend_dataset,
|
| title = {Arend},
|
| author = {Norton, Charles},
|
| year = {2026},
|
| note = {Extracted from https://github.com/JetBrains/arend-lib, commit 373ed3c493f4},
|
| url = {https://huggingface.co/datasets/phanerozoic/Arend}
|
| }
|
| ```
|
| |
