Context free Grammar & derivation $[20$ pts$]$ Context$-$free grammars

$($CFGs$)$ can be useful in various use cases. One such use case is to check on the syntax of the

programming language and hence even now CFGs are used in Natural Language Processing

$($NLP$)$ to help models interpret languages. Further, modern$-$day IDEs are leveraging this

use case to construct Syntax Highlighters.

Let$$s consider you are given a task to design the CFG for a very basic valid variable

definition in C$++.$

A couple of examples $($not exhaustive$)$