The computer can verify… but what is it checking? #Shorts

Can a computer check a mathematical proof step by step?

OpenAI says its possible solution to Navier-Stokes was also formalized in Lean, a proof assistant. Lean requires every definition and inference to be written with a precision that a machine can check.

But there’s a crucial catch: the computer only verifies what it’s given. It can confirm a flawless proof of a statement that is wrong or weaker than the original problem.

That’s why mathematicians still need to check that the formalization addresses the Navier-Stokes challenge exactly and that all its assumptions are fully specified. AI can reduce logical errors, but it doesn’t decide on its own what it means to have solved the problem.

Full episode: https://youtu.be/DpMV6w17E5E

🤖 AI-generated content: the script, voices, and images in this episode were produced using artificial intelligence tools.

#Shorts