Rohan Paul· @rohanpaul_ai · X·· 3 小时前AI 评分50
AI 导读
一篇新论文指出，AI 将数学证明翻译成 Lean 后，通过 Lean 检查并不能说明原始自然语言证明是否正确。论文展示了聊天机器人通过悄悄修正错误，把一个错误的证明变成有效的 Lean 证明；并论证判断一个陈述能否被忠实翻译，可证明地难于停机问题，因此任何 AI 翻译器都无法总是做到。
正文
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.
来源：Rohan Paul · x.com