1. Determine if the following deduction rule is valid:
p?q¬p
_______
? q
2. Determine if the following is avalid deduction rule:
(p?q)?r¬ p ? ¬ q
________
? ¬r
3. Suppose p and q are (possiblymolecular) propositional statements. Prove that p and q arelogically equivalent if any only if p?q is a tautology.
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