Releasing AXLE | Axiom

We're excited to release the Axiom Lean Engine (AXLE) to the public. As AI systems tackle increasingly complex mathematical problems, having reliable, scalable infrastructure for proof verification is becoming essential. AXLE provides a suite of proof verification and manipulation primitives we've leveraged across all of our research efforts. It has empowered our researchers to train new models, explore novel frameworks for proof generation, and deploy our internal mathematical reasoning engine to solve real world problems.

As the scope of our work expanded in the last 6 months, we built a hosted service that

Axiom Lean Engine

User: axle.axiommath.ai API Endpoint

Worker: "Is this proof correct?"

AXLE is a managed service providing these primitives at scale, including verify_proof, extract_theorems, and others which are crucial for effectively running Lean-based reasoning engines. This enables anyone to explore proof generation techniques without needing to worry about deploying Lean.

AXLE has already served millions of requests internally at Axiom:

AXLE is now available as a free service

Interactive sandbox

Test verify_proof, extract theorems, and experiment with proof transformations in seconds.

Open AXLE Playground

AXLE API

Integrate verify_proof, extract_theorems, and scalable proof infrastructure into your own systems.

View API Docs

Need higher capacity or production access? Submit our API capacity interest form

Entry editors AXLE TEAM

Alex Schneidman

Jimmy Xin

Chris Cummins

Latest from the Territory

View All Entries

The Address Before the Room
One family is a third the size of the other — but that third is a doorway, not the matching that has to be built behind it.

The Same Ground
In the right coordinate, Kaprekar's process is not a different puzzle in every base — it is one operation: doubling.

The Figure and the Remainder
A multiplicity that reads as the blur of cancellation comes into focus, in natural families, as an exact count of bounded Dyck-path structures.

The Reveal
In the hardest window for lattice triangles, a density-1 result rules out almost every candidate.

View All Entries

Releasing AXLE