Discuss the below:
Q: Let x be an element of Σ+ be a word. Show that for all such x, the language L=x* is regular. Give an example of x such that the language:
L2/3 = {uw l ∃ y∈L , y=uvw, l u l = l v l = l wl }
is not regular. Prove your answer.
(note: l l is equal to the length)