How many times do I have to say "What is the Halakhah? Maybe someone should invent a posting "bot" that would post it in answer to every one of your questions.
At any rate, are you referring to the ben sorer umoreh ("stubborn and rebellious son")? I assume that's what you mean.
I hope you realize that there is an official, authoritative interpretation of Biblical law called Halakhah that is part of the Oral Law, which means you don't get all the details from a mere surface reading of the Biblical text. With regard to the ben sorer umoreh, the list of requirements for the penalty to be applied is so long and unlikely that there is a Talmudic opinion that this sentence has never been carried out and will never have to be carried out (but that law was put in the Torah so Israel would get merit for studying it). However, another Sage claimed he had seen the grave of a son put to death in this very case.
At any rate, if (theoretically) all the contingencies and requirements are met that would require this sentence to be carried out, then of course it would have to be carried out.
How many more times do you want me to keep telling you the same thing?
Anything else you want to ask about? The virgin test? Animal sacrifices? Holy wars? `Ayin tachat `ayin, shen tachat shen (I'm surprised you haven't brought that one up already)?
Just as many times as it takes for you to explicitly state them. And thanks for finally doing just that!
I guess we can call it a day for now. Good night, and enjoy your 4th of July (if you’re American, that is... or even otherwise).