Consider the following regular expressions :
(i) ($(a/b)^{*}$ (ii) $(a^{*}/b^{*})^{*}$ (iii) $((\epsilon /a)b^{*})^{*}$
Which of the following statements are correct ?
(a) (i) ,(ii) are equal and (ii) , (iii) are not .
(b) (i) ,(ii) are equal and (i) , (iii) are not .
(c) (ii) ,(ii) are equal and (i) , (ii) are not .
(d) All are equal
Answer is given as (d) . .
But , my question is :
from (ii) $(a^{*}/b^{*})^{*}$ : I can derive $(a/\epsilon )^{*}$ , which can give me (a)* . Isn't it so ?
From (i) ($(a/b)^{*}$ : I can not separate a and b .
So , how can they all be equal ?