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DeepSeek-AI Open-Sources DeepSeek-Prover-V1.5: A Language Model with 7 Billion Parameters that Outperforms all Open-Source Models in Formal Theorem Proving in Lean 4

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DeepSeek-AI Open-Sources DeepSeek-Prover-V1.5: A Language Model with 7 Billion Parameters that Outperforms all Open-Source Models in Formal Theorem Proving in Lean 4

DeepSeek-Prover-V1.5: Advancing Formal Theorem Proving

Practical Solutions and Value

DeepSeek-Prover-V1.5 introduces a unified approach for formal theorem proving, addressing challenges faced by large language models (LLMs) in mathematical reasoning and theorem proving using systems like Lean and Isabelle.

Key Highlights:

  • Enhanced base model with further training on mathematics and code data, focusing on formal languages like Lean, Isabelle, and Metamath.
  • Improved Lean 4 code completion dataset through data augmentation techniques.
  • Utilized reinforcement learning from proof assistant feedback and advanced tree search methods.

Significant Advancements:

  • DeepSeek-Prover-V1.5-RL achieved a 60.2% pass rate in whole-proof generation, marking a 10.2 percentage point improvement over its predecessor.
  • On the miniF2F-test dataset, it proved 51.6% of problems with a limited sampling budget of 128 attempts, outperforming other methods.
  • DeepSeek-Prover-V1.5-RL achieved a state-of-the-art 62.7% pass rate with RMaxTS tree search.
  • Outperformed existing methods on the ProofNet dataset, demonstrating superior performance across different theorem-proving tasks and methodologies.

Key Features:

  • 7 billion parameter language model
  • Specialized pre-training, supervised fine-tuning, and reinforcement learning via GRPO
  • Incorporates RMaxTS, an innovative Monte-Carlo tree search variant

Future Developments:

While the current focus is on exploration, future developments may include a critic model for assessing incomplete proofs, addressing the exploitation aspect of reinforcement learning in theorem proving.

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