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**DExplorer-8B** is a Lean 4-based agent that generates provable formal mathematical statements through step-by-step **Deductive Exploration (DExploration)**. Instead of directly synthesizing problems in one shot, DExplorer explores the mathematical world step by step — introducing variables/hypotheses, deriving intermediate facts, and submitting conclusions — with each step verified by the Lean 4 kernel. This ensures the **provability** of generated statements while enabling the synthesis of **complex** problems that push the limits of state-of-the-art provers.
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This model is fine-tuned from [Goedel-Prover-V2-8B](https://huggingface.co/Goedel-
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## ⚙️ Usage
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- **Issues**: [GitHub Issues](https://github.com/Purewhite2019/dexploration_main/issues)
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## 👍 Acknowledgments
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- [NuminaMath-LEAN](https://huggingface.co/AI-MO/NuminaMath-LEAN) for the high-quality statement-proof data.
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- [Goedel-Prover](https://huggingface.co/Goedel-LM/Goedel-Prover-V2-8B) for the base model.
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- [Pantograph](https://github.com/leanprover/Pantograph) for Lean 4 interaction.
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- And many other open-source projects!
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**DExplorer-8B** is a Lean 4-based agent that generates provable formal mathematical statements through step-by-step **Deductive Exploration (DExploration)**. Instead of directly synthesizing problems in one shot, DExplorer explores the mathematical world step by step — introducing variables/hypotheses, deriving intermediate facts, and submitting conclusions — with each step verified by the Lean 4 kernel. This ensures the **provability** of generated statements while enabling the synthesis of **complex** problems that push the limits of state-of-the-art provers.
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This model is fine-tuned from [Goedel-Prover-V2-8B](https://huggingface.co/Goedel-LM/Goedel-Prover-V2-8B) on [DExploration-40K](https://huggingface.co/datasets/purewhite42/DExploration-40K) using supervised fine-tuning.
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## ⚙️ Usage
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- **Issues**: [GitHub Issues](https://github.com/Purewhite2019/dexploration_main/issues)
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## 👍 Acknowledgments
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- [NuminaMath-LEAN](https://huggingface.co/datasets/AI-MO/NuminaMath-LEAN) for the high-quality statement-proof data.
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- [Goedel-Prover](https://huggingface.co/Goedel-LM/Goedel-Prover-V2-8B) for the base model.
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- [Pantograph](https://github.com/leanprover/Pantograph) for Lean 4 interaction.
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- And many other open-source projects!
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