Would it be grammatically correct if I use "having" in the sentence?

The sentence may easily have a context in which the sentiments are true. I therefore set aside any discussion (which in any case belongs elsewhere) of programming.

We are then left with a simplified version: A and B are nonsensical and are used without having an appropriate notion. Not only does having give the feeling of possession but the subject of having is not clear. A and B, being inanimate, cannot have notions, so presumably the subject is those who use the phrases A and B. (Forgive me if subject is not quite the right grammatical term for a noun before a gerund. I, being a physicist, simply regard I as the subject of being).

Among the many possibilities, I therefore suggest ... and are sometimes used without an appropriate notion, ... and are used without appropriate notions, or ... and users' notions of them may be inappropriate. My own taste is for the last one.