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Mutual exclusion or compatibility of discrete mathematical problems or representation of propositional formulas
Because two things can't happen at the same time, the first question can only be expressed by pVq. Of course, there is nothing wrong with you using (┐p Vq)V(pV┐q) to express it, because these two things can't happen at the same time, either one or the other, that is to say, when P is correct, Q must be wrong, that is, Q and ┐p are equivalent, so there is no need to express ""at this time.

But the second question must be (┐p Vq)V(pV┐q), otherwise the meaning of "only one choice" cannot be expressed, because P and Q are no longer contradictory, so if you want to express the meaning of only one choice, you can only use this expression (┐p Vq)V(pV┐q).

It's long, but it's all in its own language. I hope it is easier to understand. ...