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hmk6sol - COT 3100 Homework 6 Solutions Fall 2000 1 Give...

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COT 3100 Homework # 6 Solutions Fall 2000 1) Give regular expressions for each of the following languages: (Note: each language is over the alphabet L = {a,b} a) The language of all strings containing the substring ab. (a b)*ab(a b)* b) The language of all strings of length 3. (a b) (a b) (a b) (a b)* c) The language of all strings with exactly 3 b’s. a*ba*ba*ba* d) The set of all strings where every a is followed by 3 or more b’s. b*(abbbb*)* 2) Create a DFA to recognize the following languages over the alphabet L = {a,b}. In each of these solns, the start state will be q0. Each final state will be underlined. A self loop will be designated by the letter right above or below the appropriate state. a) The language of all strings of odd length. a,b q0 ----------> q1 <--------- a,b b) The language of all strings that contain exactly 2n a’s where n is an integer. b

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hmk6sol - COT 3100 Homework 6 Solutions Fall 2000 1 Give...

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