Q. 41 What is the first order predicate calculus statement equivalent to the following?
Every teacher is liked by some student
(A) ∀(x) [teacher (x) → ∃ (y) [student (y) → likes (y, x)]]
(B) ∀ (x) [teacher (x) → ∃ (y) [student (y) ^ likes (y, x)]]
(C) ∃ (y) ∀ (x) [teacher (x) → [student (y) ^ likes (y, x)]]
(D) ∀ (x) [teacher (x) ^ ∃ (y) [student (y) → likes (y, x)]]
Answer: (B)
Explanation:
