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This is a Quantitative Study study (also classified as: Experimental Study).

October 20, 2025Open Access

Hilbert: Recursively Building Formal Proofs with Informal Reasoning

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Agentic framework Hilbert reduces problem-solving gaps in formal verification and large language models.

Hilbert achieves a 70.0% problem-solving rate, outperforming existing methods like SeedProver by 19.6%.
It leverages a recursive decomposition strategy, utilizing informal reasoning to solve mathematical problems more effectively.
The system integrates components such as informal LLMs and specialized prover LLMs for enhanced formal verification performance.
Experimental results illustrate that Hilbert significantly narrows the gap between informal reasoning and formal proof generation.

Varambally et al. (2025) studied this question.

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