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Update README for v2.0
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---
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language:
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pretty_name: Coq-HoTT Dataset
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tags:
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- theorem-proving
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- formal-methods
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- hott
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- coq
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license: bsd-2-clause
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task_categories:
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- text-generation
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- feature-extraction
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- name: type
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dtype: string
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- name: library
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dtype: string
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- name: imports
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list: string
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- name: filename
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dtype: string
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- name: symbolic_name
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dtype: string
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- name: docstring
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dtype: string
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splits:
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- name: train
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num_bytes: 3581192
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num_examples: 11533
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download_size: 919179
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dataset_size: 3581192
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---
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# Coq-HoTT
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## Dataset Description
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###
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- `imports`: The Require Import statements from the source file
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- `filename`: The source file name within the theories directory
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- `symbolic_name`: The identifier of the mathematical object
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- `__index_level_0__`: Sequential index for the dataset
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##
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```
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fact: "Definition minimal(n : nat) : Type := forall m : nat, P m -> n <= m."
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imports: "Require Import HoTT.Basics HoTT.Types. Require Import HoTT.Truncations.Core. Require Import HoTT.Spaces.Nat.Core."
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filename: "BoundedSearch.v"
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symbolic_name: "minimal"
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__index_level_0__: 0
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```
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### Source Code
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``` to clean and organize content. `.v` files were processed for mathematical content, while `.md` files were included to retain important documentation and context.
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- Formal Methods Research: Analyzing formal proofs and definitions in Homotopy Type Theory.
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- Machine Learning Applications: Training models on formal verification, code completion, and theorem proving tasks.
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- Educational Purposes: Providing structured examples of Coq formalizations.
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### License:
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This dataset is distributed under the BSD 2-clause licence, aligning with the license of the original Coq-HoTT repository.
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##
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---
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license: bsd-2-clause
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task_categories:
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- text-generation
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- feature-extraction
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language:
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- en
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tags:
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- theorem-proving
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- formal-methods
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- coq
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- hott
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- homotopy-type-theory
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size_categories:
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- 10K<n<100K
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---
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# Coq-HoTT
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Structured dataset of formalizations from the Coq-HoTT library (Homotopy Type Theory in Coq).
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## Dataset Description
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- **Source:** [HoTT/Coq-HoTT](https://github.com/HoTT/Coq-HoTT)
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- **Entries:** 11,533
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- **Files processed:** 583
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- **License:** BSD 2-Clause
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## Schema
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| Column | Type | Description |
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|--------|------|-------------|
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| fact | string | Full declaration (name, signature, body) |
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| type | string | Definition, Lemma, Theorem, Class, Instance, etc. |
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| library | string | Sub-library within HoTT (Basics, Types, Spaces, etc.) |
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| imports | list | Require Import statements |
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| filename | string | Source file path |
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| symbolic_name | string | Declaration identifier |
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| docstring | string | Documentation comment (41% coverage) |
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## Statistics
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### By Type
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| Type | Count |
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|------|-------|
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| Definition | 6,726 |
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| Instance | 2,355 |
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| Lemma | 1,308 |
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| Class | 363 |
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| Fixpoint | 141 |
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| Record | 139 |
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| Theorem | 103 |
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| Proposition | 67 |
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| Inductive | 39 |
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| Other | 292 |
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### Docstring Coverage
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- **4,756 entries (41%)** have documentation
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## Example Entry
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## Use Cases
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- Retrieval / RAG for Coq theorem proving
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- Homotopy Type Theory research
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- Training embeddings for formal mathematics
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- Documentation generation
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## Citation
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## Changelog
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- **v2.0** (Jan 2025): Re-extraction with improved schema
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- 7,848 -> 11,533 entries (+47%)
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- Added library and docstring columns
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- Changed imports from string to list
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- Removed index_level column
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- fact now includes full signature
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- **v1.0** (Dec 2024): Initial release
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