Startups Directory

Harmonic builds Aristotle, an AI-driven mathematical reasoning engine that uses formal verification via the Lean 4 proof assistant to solve complex mathematical problems with provable correctness. The platform translates natural-language math problems into formally verified proofs, eliminating the guesswork in mathematical reasoning. Harmonic serves mathematicians, quantitative researchers, software verification teams, and enterprises needing formally verified code generation. Unlike general-purpose AI models that can hallucinate intermediate steps, Aristotle guarantees each reasoning step is mathematically sound.