Let Σ be a finite alphabet, and let L be a language defined over Σ. Define the operation shift(L) as follows. Show that if L is regular, then shift(L) is regular. shift(L) = {vu | u,v ∈ Σ∗, uv ∈ L}
4. [10 Points] Let E be a finite alphabet, and let L be a language defined over E. Define the operation shift(L) as follows. shift(L) = {vu | u,v ∈ E∗, uv ∈ L}
Show that if L is regular, then shift(L) is regular.