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16. ˥(P → Q) is equivalent to
P ^ ˥Q
P ^ Q
˥P v Q
None of these
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17. In propositional logic , which of the following is equivalent to p → q?
~p → q
~p v q
~p v~ q
p →q
18. Which of the following is FALSE? Read ^ as And, v as OR, ~as NOT, →as one way implication and ↔ as two way implication?
((x → y)^ x) →y
((~x →y)^ ( ~x ^ ~y))→y
(x → ( x v y))
((x v y) ↔( ~x v ~y))
19. Which of the following well-formed formula(s) are valid?
((P → Q)^(Q → R))→ (P → R)
(P → Q) →(˥P → ˥Q)
(P v (˥P v ˥Q)) →P
((P → R) v (Q → R)) → (P v Q}→R)
20. The correct prefix formula is
→˥,P v Q ↔˥R ˥S
→P˥Qv ↔ ˥R
→→PQ→→QR→PR
→˥PV ↔ QSP
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