undecidability theorem

例句：

1. 1.The undecidability theorem states that it is impossible to determine the truth value of a statement for all possible inputs.
   不可判定定理表明，对于所有可能的输入，确定一个陈述句的真实性值是不可能的。
2. 2.This mathematical theorem has been proven to be undecidable, meaning that no algorithm can solve it completely.
   这个数学定理已被证明是不可判定的，意味着没有算法可以完全解决它。
3. 3. In computer science, this theorem is used to describe situations where the correctness of a program cannot be determined without running it multiple times.
   在计算机科学中，这个定理用于描述程序的正确性无法仅通过运行一次来确定的情况。