Visualizing Mathematical Proof: Insights from Lean Blueprints
2025-05-11
Lean Blueprints, a project planning tool inspired by mathematicians' blueprint method for formalizing proofs, offers unique insights into the proof process. It uses a graph where nodes represent definitions, lemmas, and theorems, with colors indicating their status (green: proven, blue: stated but unproven, black: unwritten). By tracking version control of Lean projects (e.g., Terrence Tao's formalization of the PFR conjecture), we can visualize the evolution of proofs, revealing how mathematicians work and providing data for building tools to assist them. This visualization offers previously hidden insights into how mathematical proofs are constructed.
Development
Formal Proof