What's the goal of a minority attack? I understand the definition of a minority pawn attack, is when one side has less pawns than other in a flank of the board (or any sector) and advances them to trade them with the oponent. The question is why would I want to do that? I imagine there is a different purpose of that for every game, but possibly there is a general reason that applies to various games. I heard here: https://youtu.be/ziCLlmz0ATo?t=4m26s that minority attack serve the purpose of leaving pawn weakness. Probably leave an isolated pawn?
The point of the minority attack, you have correctly pointed out, is to force pawn weaknesses. Usually, the weakness that you are going for is to create a backwards pawn. This weakness is very difficult to deal with for your opponent. Normal play is to gang up on the pawn, double your rooks along the file.