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StepFun-Prover Preview: Let's Think and Verify Step by Step

Created by
  • Haebom

Author

Shijie Shang, Ruosi Wan, Yue Peng, Yutong Wu, Xiong-hui Chen, Jie Yan, Xiangyu Zhang

Outline

StepFun-Prover Preview is a large-scale language model designed for formal theorem proving via tool-integrated reasoning. Using a reinforcement learning pipeline that integrates tool-based interactions, StepFun-Prover achieves robust performance in generating Lean 4 proofs with minimal sampling. This approach allows the model to iteratively improve its proofs based on real-time environmental feedback, emulating human-like problem-solving strategies. On the miniF2F-test benchmark, StepFun-Prover achieves a pass@1 success rate of 70.0%. Beyond improving benchmark performance, we introduce an end-to-end training framework for developing tool-integrated reasoning models, suggesting promising directions for automated theorem proving and mathematical AI assistants.

Takeaways, Limitations

Takeaways:
We present a large-scale language model that achieves robust performance in formal theorem proving via tool-integrated inference.
Lean 4 proof generation is possible with minimal sampling.
Emulates human-like problem-solving strategies based on real-time environmental feedback.
Provides an end-to-end training framework for developing tool-integrated inference models.
It opens up new possibilities in the field of automated theorem proving and mathematical AI assistants.
Limitations:
Only the results for the miniF2F-test benchmark are presented, so generalizability to other benchmarks is limited.
Pass@1 The success rate of 70.0% is a high figure, but it is still far from generating a perfect proof.
Further research is needed to explore the generality and scalability of the proposed end-to-end training framework.
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