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GATE CSE 2018

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Dec 12, 2021
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Planning to take coaching on Unacademy http://bit.ly/gate_unacademy or https://unacademy.com/ here is a code for 10% off PLUS1BPK1 Telegram Notification Group link:- https://t.me/joinchat/X5egW_cvdt9kMGY1 Telegram discussion Group link:- https://t.me/joinchat/VCyGUmVq8RNkMzhl Downloads resources from here https://education4fun.com/gate-cse/ MCQ (Single Correct Answer) GATE CSE 2018 Consider the first-order logic sentence φ ≡ ∃s∃t∃u∀v∀w∀x∀y ψ(s, t, u, v, w, x, y) where ψ(s, t, u, v, w, x, y) is a quantifier-free first-order logic formula using only predicate symbols, and possibly equality, but no function symbols. Suppose φ has a model with a universe containing 7 elements. Which one of the following statements is necessarily true? (A) There exists at least one model of φ with universe of size less than or equal to 3(B) There exists no model of φ with universe of size less than or equal to 3(C) There exists no model of φ with universe size of greater than 7(D) Every model of φ has a universe of size equal to 7

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GATE CSE 2018 | NatokHD