Aspire Faculty ID #18809 · Topic: UGC NET Computer Science Sep 2022 (Paper II) · Just now
UGC NET Computer Science Sep 2022 (Paper II)

Given below are two statements:

Statement I: "Grandparent is a parent of one's parent".

Statement II: First Order Predicate Logic (FOPL) representation of above statement is

$\forall g,c\ grandparent(g,c)\Leftrightarrow \exists p\ parent(g,p)\land parent(p,c)$

In the light of the above statements, choose the most appropriate answer from the options given below:

Solution

Statement I says:

Grandparent is a parent of one's parent.

This is correct.

For example, if $g$ is parent of $p$ and $p$ is parent of $c$, then $g$ is grandparent of $c$.

Now check Statement II:

$\forall g,c\ grandparent(g,c)\Leftrightarrow \exists p\ parent(g,p)\land parent(p,c)$

This means:

For all $g$ and $c$, $g$ is grandparent of $c$ if and only if there exists some $p$ such that $g$ is parent of $p$ and $p$ is parent of $c$.

This is the correct FOPL representation of the grandparent relation.

Therefore, both Statement I and Statement II are correct.

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