I have a set of languages. which is needed to be categorized as regular or not regular languages...Here i have mentioned some of them please help me to understand which are regular and which are not regular with the proper explanation...
1: {ww/ w ∈ {a, b }* }
2: {ww/ w ∈ {a, b }+ }
3: {wxwy/ w,x,y ∈ {a, b }+ }
4: {xww^R/ w ∈ {a, b }+ , x∈{a, b }* ,w^R is reverse of w }
5: {xww^R/ x ∈ {a, b }+ , w∈{a, b }* ,w^R is reverse of w }
6: {ww^Rx/ w,x ∈{a, b }*,w^R is reverse of w }
7: {ww^Rx/ w,x ∈ {a, b}+ ,w^R is reverse of w }
8: {ww^R/ w∈ {a, b}+ ,w^R is reverse of w }
9: {ww^R/ w∈ {a, b}* ,w^R is reverse of w }