Lean Atlas Tool Enables Human-AI Collaborative Mathematical Proof Verification

Lean Atlas is an innovative tool designed for the Lean 4 proof assistant that tackles the issue of semantic hallucination in AI-generated formal proofs through a human-in-the-loop verification mechanism. Although the automation of mathematical formalization by AI is advancing rapidly, existing systems only ensure logical correctness via type checking, lacking semantic alignment with the intended mathematical concepts. This oversight allows AI-generated proofs to meet technical standards while misrepresenting the actual mathematics. The solution proposed involves collaboration between human scientists and AI to create formal proofs, with humans tasked with confirming the semantic integrity of propositions and definitions. Lean Atlas features an interactive web viewer that visualizes the dependency graph of a Lean 4 project, enhancing understanding of formalization structures. Its key component, Lean Compass, is an algorithm that creates navigation paths within formalization projects. This tool corresponds to arXiv preprint 2604.16347v1, classified as a cross-announcement type. The initiative seeks to enhance human-AI collaboration in mathematical formalization by merging AI's automation strengths with human semantic oversight, addressing the shortcomings of current AI formalization systems that focus on syntactic correctness rather than conceptual precision.