Proof Assistants

The 500-Page Proof Nobody Can Read Is About to Be Checked by a Computer. The Result Won’t Matter.

Project Lana aims to formalize Mochizuki’s notoriously opaque 500-page proof of the ABC conjecture in Lean. But even if the computer says the formalization is consistent, the real debate—whether the formalization faithfully represents the original proof—will remain unresolved. The machine can’t end a controversy about meaning.

AI Just Broke Math’s Ultimate Safety Net. Here’s Why You Should Be Terrified.

A soundness bug in Lean’s kernel allowed an AI-generated ‘disproof’ of the Collatz conjecture to pass verification. The lesson: formal verification is only as strong as its weakest human error. AI is now the ultimate fuzzer of our logical foundations, and we can no longer trust ‘verified by machine’ as a guarantee of truth.