Obtain the principal disjunctive and conjunctive normal forms of the following formulas.
(a) ( neg neg Q) (P rightleftharpoons neg Q)
(6) ^(P vee neg Q)
(c) P vee( neg P (Q vee( neg Q R)))
(d) (P (Q^ R))^( neg P ( )) (e) P -> (P ^ (Q -> P))
() (Q P)/ ^( neg P^ Q)
Which of the above formulas are tautologies?
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