Question: Define a DFA, and prove by induction. Let L1, L2.4 and L4 be regular languages over accepted by DFAs M1 = (QI, ,s1, A1), My-C2,

Define a DFA, and prove by induction.

Define a DFA, and prove by induction. Let L1, L2.4 and L4

Let L1, L2.4 and L4 be regular languages over accepted by DFAs M1 = (QI, ,s1, A1), My-C2, , 2.s,Ag), M,-(Qs, , 3,s3Ag), and M,-(Q4, , 4,$4,As) respectively. (a) Describe a DFA M-(Q,2,5,s,A) in terms of M1, M2, Ms and M4 that accepts L-(L-L2)n (L4UL3). Formally specify the components Q,6,s, and A for M in terms of the components of M1,M2, M3, M4 (b) Prove by induction that your construction is correct

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