How to achieve a software speedup with Lean 4 and formal methods
How Lean 4 and formal verification let you speed up software and prove the compiled code, including SIMD, still meets its specification.
AI can exploit software vulnerabilities at terrifying speed. What used to take a year can be achieved in minutes and hours. At Scidonia, we use Vericoding to produce verified software that is safe, secure and correct.
Uncertainty to proof
Traditional unit tests and AI code reviews only check the paths you think of. They miss the microsecond race conditions, security vulnerabilities, and logic flaws that crash production.
You write the specification (the contract) with invariant programming.
The LLM writes the code.
Our theorem prover mathematically guarantees the code meets your exact specification.
Prove your code is safe, secure and correct.
Concurrent systems are notoriously difficult to test. We provide mathematical proof that your asynchronous schedulers and multi-threaded environments are safe by construction.
We optimise software in Lean 4 and prove the compiled code still meets the specification.
Happy path testing for your security is unreliable. We formally verify your access control logic, mathematically proving that no edge-case combination of roles can bypass your security framework.
Our technology provides the greatest ROI in sectors where a single software defect results in critical failure:
Eliminating logic bugs in high-frequency trading.
Slashing compute overhead for SaaS platforms.
Guaranteeing deterministic safety for regulatory compliance.
Training
Vericoding training equips engineering teams in high-stakes environments to put formal verification in their CI/CD pipelines. Your engineers own the specification. The prover runs on the change. A failing proof does not merge ensuring production is always verified software.
Vericoding trainingTechnology
We specify the software in Lean, compile through C to LLVM IR, and software verification proves the optimised code still meets the specification.
Formal software verificationVericoding Services
Models now write more code than you can review line by line. You specify what the program must do. We prove the implementation meets that specification, and where latency or compute cost is the problem, we replace it with a faster program that still does.
See the services
How Lean 4 and formal verification let you speed up software and prove the compiled code, including SIMD, still meets its specification.
Software's core problem is knowing what it should do. AI-guided certified program refinement — vericoding — makes specification the artefact we tinker with, and lets AI guess program transformations that a theorem prover certifies.
From exam-gaming models to speciation and military embodiment — a map of AI risks, how we might assess them, and why mitigation is harder than it looks.
Talk to us about Vericoding your infrastructure, or read how we prove the compiled code still meets the specification.