Agent Autonomously Generates Formally Verified Solver
burny_tech · x · 2026-07-18
Lanyon generated an end-to-end formally verified PDE solver covering linear advection, isotropic advection-diffusion, and full/anisotropic advection-diffusion equations.
- Scale: 8,000 lines of verified simulation code + 10,000 lines of Lean 4 proofs
- Time: Completed in 158 seconds
- Results: Delivered correctness proofs for every property across various 2D and 3D equations
The author highlights this as the first end-to-end formally verified solver for advection-diffusion equations, entirely generated by an agent.
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