A structured dataset of formalizations from the Coq-HoTT library, which implements Homotopy Type Theory in the Coq proof assistant. The dataset contains 589 files sourced from a specific GitHub commit. It was created by user 'phanerozoic' and last updated on Hugging Face in June 2026.
Use Cases
- Training or evaluating machine learning models for automated theorem proving based on formal statements and proofs.
- Analyzing patterns in formal mathematical reasoning based on the structure of Coq proofs.
- Developing tools for proof synthesis or code generation using the statement-proof pairs.
Strengths
- Contains 589 files of formalized mathematics from a specific, versioned GitHub commit (b75eadc7cb2bc59dca415bf47662a9290f82dc5f).
- Structured with explicit 'statement' and 'proof' columns, providing a clear format for machine learning tasks.
Limitations
- The row count, file formats, and sample data are unknown, limiting suitability assessment.
- Column-level documentation beyond the two main fields is absent; field semantics must be inferred after download.
- Freshness should be verified as the last update date (2026-06-09) is in the future relative to the current date.
Provenance
- Source
- GitHub repository: https://github.com/HoTT/Coq-HoTT
- Collection Method
- Extracted from a specific commit of the Coq-HoTT library.
- Freshness
- Last updated 2026-06-09 20:39:56.