Cajal

Active

Scaling formal verification to accelerate scientific discovery

Winter 2026Founded 20252 peopleSan Francisco, CA, USA

caj.al/ ↗LinkedIn ↗X ↗GitHub ↗

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AI insightcan contain mistakes

Formal Verification AISaaSQuantum computing teams, finance researchers, mathematical institutionsLow competition

Moat

Lean-based formal verification and AI mathematics at superhuman scale; grounding AI in provable truth is rare and defensible.

Key risk

Ultra-niche market; long sales cycles; unclear path to broad adoption outside quantum/finance.

Why now

Quantum computing advancing; finance seeking formal rigor; AI mathematical reasoning capabilities maturing.

Competitors

Emerging space, academic research

↻ Pivot / rename signal

This company has previously operated under “Cajal Technologies”. A rename frequently marks a pivot in positioning or product — useful raw material for variant ideas.

About

Cajal (YC W26) is massively scaling formal verification to accelerate scientific discovery. We deploy superhuman AI mathematicians to high-impact applied domains, starting with quantum computing and finance. We do this with Lean - a framework that allows us to formally verify any mathematical statement, grounding AI in truth and validating the tools discovered by our systems.

Founders · 2

Pedro NobreFounder

Working on formal verification and AI.

LinkedIn ↗

Luke JohnstonFounder

Oxford🎓 Cambridge

Working on formal verification and AI at Cajal (W26). Background in machine learning and neuroscience at research labs in Oxford/Cambridge/UCL. Learn more at https://caj.al/ and feel free to get in touch at luke@caj.al

LinkedIn ↗X ↗

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