Counter Increment Logic

I just want to confirm I understand the logic behind when a counter will increment. If I set up an increment condition, then the counter only increments when that condition transitions from false to true, correct? For instance, if I say "Increment when input 1 state = true" then when I switch input 1 on it will become true and increment. But then as long as the switch stays on it will not increment any more until I switch input 1 off and then switch it back on again? And this would hold not just for physical inputs but if I was evaluating against a maths channel or a general function or some other internal variable? And, as a related topic, is there any built-in de-bounce filter for inputs?