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The logical statement (p⇒q) ∧ (q⇒~p) is equivalent to:

1. p
2. q
3. ~p
4. ~q

Correct answer: ~p

Solution

(p=>q) AND (q=>~p) = (~p OR q) AND (~q OR ~p). A truth table gives True only when p is False (both p=F,q=T and p=F,q=F), and False when p is True. This is exactly ~p.

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