End-to-end formally verified solvers for linear and nonlinear advection-diffusion equations in 1D-3D, implemented in C with Lean 4 proofs. Repository claims full formal verification and detailed performance milestones, but no license is listed.
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What it is
End-to-end formally verified solvers for the linear advection, isotropic advection-diffusion, and full (anisotropic) advection-diffusion equations in 1D, 2D, and 3D. The project is implemented in C and uses Lean 4 for formal proofs supporting correctness properties. The README provides high-level performance notes and code metrics, including the distribution of proof effort across problem variants.
How it works
The project aims to prove end-to-end correctness properties for solvers of the advection-diffusion equation. It reports concrete line counts and theorem counts associated with the verification effort, along with code size for the verified components. Specific numerical methods or algorithmic details are described in the linked technical deep dive (not reproduced in full in the truncated README).
Getting started
- The README excerpt does not include explicit installation or build commands. No install or usage commands are quoted in the provided text.
- The repository likely contains a Lean 4 / C codebase that couples formal proofs with C implementations, but exact steps to build or run are not present in the provided material.
Recent releases
- RELEASES (latest 0): none. No tagged releases are listed in the provided data.
Traction
- Stars: 51
Behind the repo
- The description indicates formal verification work using Lean 4 and C; no startup/company link is provided in the supplied facts.
Caveats
- License: none listed
- Created: 2026-07-17
- Last push: 2026-07-17
- Open issues: 0
- Language: C
- No README installation/usage commands are included in the provided material.