Give recursive definitions for the following languages over the alphabet {a b}: (i) The language EVENSTRING of

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Give recursive definitions for the following languages over the alphabet {a b}:

(i) The language EVENSTRING of all words of even length.

(ii) The language ODDSTRING of all words of odd length.

(iii) The language AA of all words containing the substring aa.

(iv) The language NOTAA of all words not containing the substring aa.

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