LeanSearch v2 recovers 46.1% of ground-truth premise groups for research-level Lean 4 theorems within 10 candidates and raises fixed-loop proof success to 20%.
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Network analysis of Mathlib reveals 50.9% coupling between human taxonomies and logical dependencies, median 1.6% import usage by developers, and centrality driven by infrastructure rather than mathematical content.
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LeanSearch v2: Global Premise Retrieval for Lean 4 Theorem Proving
LeanSearch v2 recovers 46.1% of ground-truth premise groups for research-level Lean 4 theorems within 10 candidates and raises fixed-loop proof success to 20%.
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The Network Structure of Mathlib
Network analysis of Mathlib reveals 50.9% coupling between human taxonomies and logical dependencies, median 1.6% import usage by developers, and centrality driven by infrastructure rather than mathematical content.