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LeanGraphSearch enhances formal theorem proving with graph-based lemma retrieval

By PulseAugur Editorial · [1 sources] ·

Researchers have developed LeanGraphSearch, a novel graph-based retrieval method designed to enhance formal theorem proving in the Lean 4 programming language. This system constructs a dependency graph of mathematical declarations within Mathlib and traverses it to identify relevant lemmas through multi-hop dependencies. LeanGraphSearch improves recall by up to 12% on the MathlibQR benchmark and increases coverage on MathlibMPR. When integrated into an iterative proving loop, it boosts the pass rate on theorem proving benchmarks by as much as 40% compared to a vanilla prover. AI

IMPACT Enhances formal theorem proving by improving lemma retrieval accuracy and efficiency.

RANK_REASON The item is a research paper detailing a new method for formal theorem proving. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

LeanGraphSearch enhances formal theorem proving with graph-based lemma retrieval

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The item is a research paper detailing a new method for formal theorem proving. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Yihan Xu, Jia-Chen Gu, Junyi Zhang, Di Wu, Haikang Deng, Po-Nien Kung, Kai-Wei Chang, Amit Sahai, Wei Wang, Nanyun Peng ·

    Lean Graph Search for Formal Theorem Proving

    arXiv:2610.22339v1 Announce Type: new Abstract: Retrieving relevant lemmas is crucial for formal theorem proving, enabling provers to build machine-checkable proofs from established mathematical results. Recent retrieval systems match library declarations to a target theorem or i…

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