A grammar is defined as follows: G=({A,S},{a,b},S,P) Obtain the languages for the following productions: a) If the productions are: P:SaAaAbAA b) If the productions are: P:SAaAbAA c) If the productions are: P:SaaAAbAA d) Observe the differences in languages obtained in (a), (b), and (c). Identify which productions ( for example, s aAa versus sAa ) played what role in generating languages. For example, how do you make sure " b " can be the first letter of a string