Question: It might be solved by using induction. I need the detailed explanation. [5 Points] Let L be a language over ?-{a,b). Using L, we define

It might be solved by using induction. I need the detailed explanation.

[5 Points] Let L be a language over ?-{a,b). Using L, we define a new language dup(L) which for every string w = aia2 an in L, dup(L) includes the string u = ajaia2aanan. Show that if L is regular, then dup(L) is also regular

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