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Given sigma {a; b}, write a formal definition and draw a state diagram of a DFA recognizing the following languages. (a) K = {w{a,b}*| |w|

Given sigma {a; b}, write a formal definition and draw a state diagram of a DFA recognizing the following languages.

(a) K = {w{a,b}*| |w| 3 where |.| indicates the length of a string.

(b) K = {w{a,b}*| w doesn't contain the substring "bab"}

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