Recent questions tagged gate2026_da

Let $P(x)$ be a predicate.Which of the following statements is/are NOT valid in first-order logic?$\forall x\; P(x) \Rightarrow \exists x\; P(x)$ $\exists x\; P(x) \Right...

Which of the following statements is NOT true?(The names of the predicates are intuitive.)$\forall x\ \forall y\ \emph{Classmate(x,y)} \Rightarrow \emph{Classmate(y,x)}$ ...

Assume that a Creative $(C)$ person will Succeed $(S)$ if the person is also Disciplined $(D)$, but will not succeed otherwise. Now, consider the following statements:$C ...

Sentence $X$ is said to entail Sentence $Y$ if whenever $X$ is TRUE, $Y$ also must hold TRUE.Which of the following statements is/are correct if $X$ entails $Y$?$X \Right...