Semi-Autonomous Formalization of the Vlasov-Maxwell-Landau Equilibrium
We present a complete Lean 4 formalization of the equilibrium characterization in the Vlasov-Maxwell-Landau (VML) system, which describes the motion of charged plasma. The project demonstrates the full AI-assisted mathematical research loop: an AI reasoning model (Gemini DeepThink) generated the proof from a conjecture, an agentic coding tool (Claude Code) translated it into Lean from natural-language prompts, a specialized prover (Aristotle) closed 111 lemmas, and the Lean kernel verified the result. A single mathematician supervised the process over 10 days at a cost of \$200, writing zero lines of code. The entire development process is public: all 229 human prompts, and 213 git commit...
| Authors | Vasily Ilin |
|---|---|
| Primary category | cs.AI |
| Published | 16 March 2026 |
| Last updated at source | 31 March 2026 |
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