P$.4$ Determine whether the given grammar is context sensitive$,$ context$-$free, regular, or none of these. Give all

characterizations

that apply.

$T=\{a,b\},N=\{,A,B\},$ with productions

$A,$AAB,$Aa$ABa

$Aaa,Bb$ABb,$AB$ABB

$Bb,$

and starting symbol $.$