Unverified50% confidenceFactExact time
LeanGraphSearch is a graph retrieval method for Lean 4 formal theorem proving that, by constructing a graph from Mathlib's forward dependencies, first performs semantic matching to locate anchor points, then uses a graph ranking algorithm to propagate relevance along dependency edges, and finally re-ranks the candidate set.
1
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50%
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Long-term
Relevance
10/16/2026
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UnverifiedThe graph ranking algorithm of LeanGraphSearch can use methods such as Personalized PageRank, random walks, or weighted propagation with decay, using the semantic matching scores as seed signals that propagate along forward dependency edges.75% similarVerifiedLean 4 is based on dependent type theory at its core, and formally proving a theorem is equivalent to writing a type-correct program.71% similarUnverifiedLean's underlying foundation is based on dependent type theory, specifically employing a variant of the Calculus of Constructions.68% similarVerifiedLean 4 has an active community and a continuously expanding mathematics library, Mathlib, and has been used by mathematicians to formalize modern mathematical theorems.65% similarVerifiedLean and Coq are interactive theorem provers (ITPs) that require users to translate mathematical proofs into machine-verifiable formal languages, where every step of reasoning must conform to strict type-theoretic rules.60% similar
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