5. Bob comes up with a specific design of a DFA Mbob that recognizes L. Peter claims he has another design of a DFA Mpeter that also recognizes L, with a different number of states from the number of states in Mbob. Is this possible? - If it is NOT possible, show that if Mbob and Mpcter both recognizes L,Qbob=Qpeter. - Otherwise, show that the following is true: If there is a DFA with n states that recognizes L, for any mn, there exists a DFA with m states that also recognizes L