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Axiom formalizes Stacks Project in Lean with human-led swarm of AI agents
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Axiom announced it has formalized the Stacks Project, described as a large and deeply interconnected foundation of algebraic geometry, in the Lean proof assistant, turning it into mathematics a computer can check. The post argues the notable achievement is not only scale but structure: Axiom compares it to the Louvre's glass pyramid, where individual pieces work only because they fit into something larger, and every definition and proof must connect so results proved in one chapter can be used in another. According to the post, this makes the work more than a translation: a human-led swarm of AI agents built a reusable, machine-checkable foundation that AI agents can now use to do mathematics. The post credits the Axiom team and frames the release as a counterexample to the view that AI-generated code at scale is sloppy.
Source report
AI-generated code at scale is usually dismissed as sloppy. Axiom's new release is a strong counterexample.
A Machine-Checkable Foundation for Algebraic Geometry
Axiom says it has formalized the Stacks Project in Lean—a huge, deeply interconnected foundation of algebraic geometry—turning it into mathematics a computer can check.
Structure Over Size
The impressive part isn't just the size; it's the structure. Axiom compares it to the Louvre's glass pyramid: individual pieces that only work because they fit together into something much bigger. Every definition and proof has to connect, so a result proved in one chapter can be used in another.
More Than a Translation
That's what makes it more than a translation. A human-led swarm of AI agents built a reusable, machine-checkable foundation that AI agents can now use to do mathematics.
Congrats to the Axiom team!
Source
kimmonismusNeutral / independent
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Axiom formalizes entire Stacks Project in Lean with 16 million lines of code