人工智能 AI 安全与评测
Automatically verified and published · Generated and evidence-checked automatically; not reviewed by a human.
A new paper describes a chatbot silently correcting an error while translating an incorrect math proof into Lean, producing a valid Lean proof that does not establish the correctness of the original natural language proof. The accompanying account also says deciding whether a statement can be translated faithfully is harder than the Halting problem, so no AI translator can always do it.
The article text is unavailable in this language; an existing version is shown.
– https://t.co/bIlcWSZdux
Title: "Navier-Stokes lost in translation: Why Lean verification of AI autoformalisation does not guarantee correct natural language proofs"
A new paper shows that when AI translates a math proof into Lean, passing the Lean check says nothing about whether the original proof is right.
They show a chatbot turning a wrong proof into a valid Lean proof by silently fixing the error.
Knowing when a statement can be translated faithfully is provably harder than the Halting problem, so no AI translator can always do it.
View replied-to post on X