1. Determine if the following deduction rule is valid: p?q ¬p _______ ? q 2. Determine if the following is...

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Advance Math

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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