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6. Let a, b, c, d be propositions. Assume that the equivalence a ↔ (b v ˥b) and b ↔ c hold. Then truth value of the formula ( a ^ b) → ((a ^ c) v d) is always
True
False
Same as the truth value of a
Same as the truth value of b
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7. Which of the following is a declarative statement?
It's right
He says
Two may not be an even integer
I love you
8. P → (Q → R) is equivalent to
(P ^ Q) → R
(P v Q) → R
(P v Q) → ˥R
None of these
9. Which of the following are tautologies?
((P v Q) ^ Q) ↔ Q
((P v Q) ^ ˥P) → Q
((P v Q) ^ P) → P
Both (a) & (b)
10. If F1, F2 and F3 are propositional formulae such that F1 ^ F2 → F3 and F1 ^ F2→F3 are both tautologies, then which of the following is TRUE?
Both F1 and F2 are tautologies
The conjuction F1 ^ F2 is not satisfiable
Neither is tautologies
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