theorem-proving
(2)
Axiomatic AI
Axiomatic AI is a Cambridge, Massachusetts deep-tech company building AI that engineers can actually trust. It pairs frontier language models with formal mathematical and physics-based verification so that the reasoning behind a design decision can be checked, proven, and traced. Its first commercial focus is photonics and semiconductor engineering - fields where simulations are sophisticated but fragmented and a fabrication error is expensive. Founded in 2024 by a group of MIT and ICFO physicists and led by former White House quantum-policy lead Jake Taylor, the company raised an $18M seed in March 2026 to build what it calls the intelligence infrastructure for verified science and engineering.
Tudor Achim
Tudor Achim is the cofounder and CEO of Harmonic, the Palo Alto AI lab he started in 2023 with Robinhood founder Vlad Tenev to build what they call Mathematical Superintelligence. Harmonic's system Aristotle reached gold-medal performance on the 2025 International Math Olympiad while formally verifying every proof in Lean 4, a feat that put a roughly 40-person startup alongside OpenAI and Google DeepMind. A former competitive pianist turned machine-learning researcher, Achim previously cofounded the self-driving company Helm.ai and worked on ranking at Quora. He argues that mathematics is the route to AI that does not hallucinate.