You are absolutely correct and you have discovered Rice's Theorem [1]. The fact that you generalized the halting problem on your own is a very good indication t

You are absolutely correct and you have discovered Rice's Theorem [1]. The fact that you generalized the halting problem on your own is a very good indication that you fundamentally understand it. [1] https://en.wikipedia.org/wiki/Rice%27s_theorem https://en.wikipedia.org/wiki/Rice%27s_theorem