MiniF2F-Dafny: LLM-Guided Mathematical Theorem Proving via Auto-Active Verification

arXiv — cs.LGFriday, December 12, 2025 at 5:00:00 AM
  • The introduction of miniF2F-Dafny marks a significant advancement in automated theorem proving, translating the miniF2F mathematical reasoning benchmark to the Dafny prover. This transition allows for a higher degree of automation, with Dafny successfully verifying 40.6% of the test set and 44.7% of the validation set using empty proofs, showcasing its efficiency in handling mathematical proofs without manual intervention.
  • This development is crucial as it enhances the capabilities of automated theorem proving, potentially streamlining the verification process in various mathematical and computational fields. The ability of LLMs to provide proof hints further complements Dafny's automation, indicating a collaborative approach to problem-solving in mathematics.
  • The integration of advanced techniques such as dense text embeddings and graph neural networks in related theorem proving methods highlights a broader trend towards improving premise selection and overall efficiency in automated reasoning. This reflects ongoing efforts in the AI community to refine theorem proving tools, ensuring they meet the increasing demands for accuracy and speed in mathematical verification.
— via World Pulse Now AI Editorial System

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