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- ---
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- license: mit
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- ---
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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+ ---
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+ license: mit
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+ ---
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+ # 📜 ProofWalaDataset
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+
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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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+
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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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+
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+ ---
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+
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+ ## 📂 Dataset Structure
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+
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+ The dataset is organized into the following ITP families:
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+
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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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+
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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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+
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+ ---
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+
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+ ## 🔍 Each record contains
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+
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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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+
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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.
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+
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+ ---
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+
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+ ## 🧠 Use Cases
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+
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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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+
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+ ---
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+
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+ ## 📊 Format
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+
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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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+
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+ ---
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+
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+ ## 📜 Citation
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+
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+ ```bibtex
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+ @misc{thakur2024proofwala,
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+ title={ProofWala Dataset},
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+ author={Amitayush Thakur},
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+ year={2024},
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+ howpublished={\url{https://huggingface.co/datasets/amitayusht/ProofWalaDataset}}
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+ }
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+