[Solved]Given Two Languages L L2 Define Zipper Operation Follows Zipper L L2 Example String Abcd L Q37091339

Given two languages L and L2, define the Zipper operation as follows: Zipper (L, L2) For example, if the string “abcd” is in L and the string “wxyz” is in L2, then the string awbxcydz” will be in Zipper(L, L2) In this problem, you will provide a construction that can be used to show that the set of regular languages is closed under the Zipper operation Assume we have a regular language L1 which is recognized by a DFA D,-Q,, ,ỗ1-q0,1-Fi) and a regular language L2 which is recognized by a DFA D202,2,62,9o2.F2). Assume both languages use the same alphabet Σ , and assume that the states of D1 and D2 do not overlap at all (ie, Qi n Q,-oj. Define a new DFA D-Q,Σδ.qo, F) to recognize the language Zipper (Li,L). Specifically. you should define Q, δ, qo , and F in terms of Qi , Q2, Σ. δι , δ2.90,i , qo2, F1, and F2 For this problem, you do not need to prove the correctness of this DFA. Hint: Try to construct a DFA to recognize Zipper(L,L2 in which the total number of states is 2 x NumStates(D) x NumStates(D2) Show transcribed image text Given two languages L and L2, define the Zipper operation as follows: Zipper (L, L2) For example, if the string “abcd” is in L and the string “wxyz” is in L2, then the string awbxcydz” will be in Zipper(L, L2) In this problem, you will provide a construction that can be used to show that the set of regular languages is closed under the Zipper operation Assume we have a regular language L1 which is recognized by a DFA D,-Q,, ,ỗ1-q0,1-Fi) and a regular language L2 which is recognized by a DFA D202,2,62,9o2.F2). Assume both languages use the same alphabet Σ , and assume that the states of D1 and D2 do not overlap at all (ie, Qi n Q,-oj. Define a new DFA D-Q,Σδ.qo, F) to recognize the language Zipper (Li,L). Specifically. you should define Q, δ, qo , and F in terms of Qi , Q2, Σ. δι , δ2.90,i , qo2, F1, and F2 For this problem, you do not need to prove the correctness of this DFA. Hint: Try to construct a DFA to recognize Zipper(L,L2 in which the total number of states is 2 x NumStates(D) x NumStates(D2)
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