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RESEARCH & ANALYTICS · NICHE

Axiom

AI maths lab whose agents formalise proofs in the Lean proof assistant.

Visit axiommath.ai ↗@axiommathai on X ↗

What Axiom does

AI maths lab whose agents formalise proofs in the Lean proof assistant. Announced a complete Lean formalisation of the Classification of Finite Simple Groups (~15,000 pages of maths, 24 days, with human guidance), every step checked by Lean's kernel.

Good for

  • Example of AI output that is machine-checked rather than trusted: a talking point on verification

Try this in 10 minutes

  1. Example of AI output that is machine-checked rather than trusted: a talking point on verification. Pick one real example from your own business and try just that.
  2. Sign up (free plan or trial if available) and try it on one real task from this week.
  3. Compare the result with how you do that task today: faster, better, or neither?

Mini-tasks based on common small-business uses for this tool.

Honest take

No red flags in our notes so far

  • Research lab, not a tool most businesses will use.
  • Expert review of the formalisation is still to come.

Pricing

Unknown

Prices as listed by the maker when we last checked (2026-10-28); usually in US dollars. Check the website for current prices.

Latest update

  • 2026-10-27: Announced the Lean formalisation of the Classification of Finite Simple Groups (cfsg.axiommath.ai).

Is Axiom worth it? Quick answers

Is Axiom worth it?

Axiom is a niche pick: useful for specific cases, but most small businesses can skip it for now. Pricing isn't publicly listed, so ask for a quote before you commit.

How much does Axiom cost?

Pricing is not publicly listed. Unknown

What is Axiom used for?

AI maths lab whose agents formalise proofs in the Lean proof assistant. Typical uses: example of AI output that is machine-checked rather than trusted: a talking point on verification.