Rohan Paul· @rohanpaul_ai · X·· 3 小时前AI 评分67
AI 导读
一篇新论文指出，当 AI 把数学证明翻译成 Lean 时，通过 Lean 检查并不能说明原始证明是正确的。论文展示了聊天机器人通过悄悄修正错误，把一个错误证明转成合法的 Lean 证明。作者还指出，判断一个陈述能否被忠实翻译，其难度可证明高于停机问题，因此没有 AI 翻译器能始终做到这一点。
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