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StepProof: Step-by-step verification of natural language mathematical proofs

Created by
  • Haebom

Author

Xiaolin Hu, Qinghua Zhou, Bogdan Grechuk, Ivan Y. Tyukin

Outline

This paper proposes StepProof, a novel automatic formalization method that converts natural language proofs into formal proofs using large-scale language models (LLMs). Unlike existing methods that only verify complete proofs, StepProof decomposes proofs into several verifiable sub-proofs, enabling sentence-level verification. Experimental results show that StepProof significantly improves the proof success rate and efficiency over existing methods, and that the performance can be further improved by adding some manual adjustments to natural language proofs.

Takeaways, Limitations

Takeaways:
A novel automatic formalization method that enables fine-grained proof verification at the sentence level is presented.
Achieving improved proof success rate and efficiency over existing methods
Suggesting potential performance improvements through slight manual tuning of natural language proofs
Limitations:
Manual adjustments are still required
Further research is needed on the specifics and scope of manual adjustments that contribute to improving the performance of StepProof.
Further research is needed on the generalizability to various types of mathematical proofs.
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