Question: Let L be the language L = (S : S is of form A 2n B n , for any n >= 0) A string

Let L be the language

L = (S : S is of form A²ⁿBⁿ, for any n >= 0)

A string S is in the language L if it is an empty string, or starts with an A followed by a sequence of As then followed with half as many Bs. Example AAAABB is in language L.

Write a recursive method that tests an input string parameter to see if it belongs in the language, return true if it does, false if it does not.

Then, write a driver program to test this method. The driver program will prompt the user for an input string and then test that string to see if it is in the language L. Then, ask the user if they want to run again. If the user answer no, terminate the program; otherwise, run it again.

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