I am a formal verification enthusiast focused on bridging mathematical intuition with machine-checked rigor using Lean 4.
Currently, I contribute to the dwrensha/compfiles project, where I formalize IMO-level challenges to explore the synergy between human architecture and AI-assisted implementation.
[World's First Complete sorry-free Formalization]
I successfully formalized the complete solution for this complex combinatorics problem. The project serves as a pilot case for Rapid AI-Assisted Formalization, capturing ~4,700 lines of verified logic in record time.
Following the initial merge and community feedback from Zulip, I am currently refactoring the proof to align with Mathlib's idiomatic standards:
- Optimization: Transitioning to
docs#NonemptyIntervalto simplify rectangular boundary definitions. - Code Golfing: Reducing the ~4,700-line prototype into a more concise, idiomatic Lean proof.
- Architecture: Utilizing an original "Topological Pivot" strategy to bypass grueling coordinate casework.
- AI-Human Collaboration: Developing workflows where human mathematical intuition guides AI to produce verified "Ground Truth" data for automated reasoning.
- Scalable Formal Engineering: Managing the lifecycle of large-scale proofs from rapid prototyping to high-standard library integration.
- IMO 1999 P3 Combinatorics
- IMO 1986 P3 Combinatorics
- IMO 1971 P6 Combinatorics
- IMO 1968 P6 Number Theory
- IMO 1961 P2 Weitzenböck’s Inequality