Question: 3. Let L1, L2, L3 and L4 be regular languages over accepted by DFAs M1 (Q1,2, 51,1A) , 4, s4,A4) respectively. My (Q2, , 2,

3. Let L1, L2, L3 and L4 be regular languages over

3. Let L1, L2, L3 and L4 be regular languages over accepted by DFAs M1 (Q1,2, 51,1A) , 4, s4,A4) respectively. My (Q2, , 2, si Ag), M,-(Qs, , 3: s3- An), and M4-(Q4, (a) Describe a DFA M a(Q, , , s, A) in terms of MI, M2, M3 and M4 that accepts L-(Li-L2) (L4 U Ls). Formally specify the components Q, , s, and A for M in terms of the components of Mi,M2, M3,M (b) Prove by induction that your construction is correct. 3. Let L1, L2, L3 and L4 be regular languages over accepted by DFAs M1 (Q1,2, 51,1A) , 4, s4,A4) respectively. My (Q2, , 2, si Ag), M,-(Qs, , 3: s3- An), and M4-(Q4, (a) Describe a DFA M a(Q, , , s, A) in terms of MI, M2, M3 and M4 that accepts L-(Li-L2) (L4 U Ls). Formally specify the components Q, , s, and A for M in terms of the components of Mi,M2, M3,M (b) Prove by induction that your construction is correct

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