GATE CS 2017 Set 1 | Question: 02
Consider the first-order logic sentence F:∀x(∃yR(x,y)). Assuming non-empty logical domains, which of the sentences below are implied by F?
I.∃y(∃ xR(x,y)) II.∃y(∀xR(x,y)) III.∀y(∃xR(x,y)) IV.¬∃x(∀y¬R(x,y))
(A)IV only (B)I and IV only (C)II only (D)II and III only
Ans :(B)I and IV only
0:00 Question
0:27 Solution
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