Construct a context free grammar over $\{$a$,$ b$,$ c$\}$ whose language is $\{"$$$"$& $|,>0\}.$

$($b$)$ Construct a context free grammar over $\{$a$,$ b$\}$ whose language is $\{$&$"|0<=<=<=3\}.$

$2.(10$pts$)$ Write a CFG to generate identifiers $($IDs$)$ in the Java Programming Language. An ID in Java

is a string of characters consisting of letters $($upper$-$level or lower$-$level$),$ digits, underscore $\_,$ or

dollar sign $$.$ It cannot start with a digit.

$3.(10$pts$)$ Using your grammar created in problem