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license: mit |
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# 📜 ProofWalaDataset |
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The **ProofWalaDataset** is a multilingual dataset of formal theorem proving traces collected from multiple interactive theorem prover (ITP) ecosystems. It provides a structured view of proof steps, goals, hypotheses, and theorem names from diverse mathematical and program verification libraries. |
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This dataset is intended for researchers and practitioners working on: |
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- **Automated theorem proving** |
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- **Formal code generation** |
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- **Machine learning for logic** |
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- **Proof step prediction** |
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- **Multi-language transfer in formal systems** |
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## 📂 Dataset Structure |
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The dataset is organized into the following ITP families: |
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- `lean/` |
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- `coq/` |
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- `GeoCoq/` |
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- `math-comp/` |
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- `multilingual/` (cross-formal-language hybrid) |
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Each family includes standard splits: |
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**`train/`**, **`test/`**, and **`eval/`**, each containing multiple JSON files. |
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Each JSON file contains a top-level key: `"training_data"` with a list of proof records. |
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## 🔍 Each record contains |
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| Field | Description | |
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|------------------------------|-------------| |
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| `proof_id` | Unique identifier for the proof trace | |
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| `goal_description` | Optional natural language description of the proof | |
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| `start_goals` | List of starting goals (each with `goal` and `hypotheses`) | |
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| `end_goals` | Final goals after applying proof steps | |
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| `proof_steps` | List of applied proof tactics (`inv`, `rewrite`, etc.) | |
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| `simplified_goals` | Simplified representations of goals (if any) | |
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| `all_useful_defns_theorems` | Set of useful definitions or theorems (static analysis) | |
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| `addition_state_info` | Optional additional metadata about the proof context | |
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| `file_path` | Source file where the proof appears | |
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| `project_id` | The ITP project or repository path (e.g., CompCert) | |
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| `theorem_name` | Name of the theorem being proved | |
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For convenience, structured fields such as `start_goals[*].goal`, `start_goals[*].hypotheses`, `end_goals[*].goal`, and `end_goals[*].hypotheses` are exposed directly through the Croissant [metadata](https://huggingface.co/datasets/amitayusht/ProofWalaDataset/raw/main/croissant.json). |
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## 🧠 Use Cases |
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- Pretraining and finetuning **LLMs for formal verification** |
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- Evaluating **proof search** strategies |
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- Building **cross-language proof translators** |
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- Fine-grained **proof tactic prediction** |
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## 📊 Format |
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- Data format: **JSON** |
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- Schema described via **Croissant metadata** (`croissant.json`) |
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- Fully validated using [mlcroissant](https://github.com/mlcommons/croissant) |
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<!-- ## 📜 Citation |
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--> |
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