AI RESEARCH
Semi-Autonomous Formalization of the Vlasov-Maxwell-Landau Equilibrium
arXiv CS.AI
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ArXi:2603.15929v1 Announce Type: new We present a complete Lean 4 formalization of the equilibrium characterization in the Vlaso-Maxwell-Landau (VML) system, which describes the motion of charged plasma. The project nstrates 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.