Given the alphabet as {0, 1}, write a DFA for the following three regular languages. (Give the complete description of the DFA with transition function as a table and also as a transition graph) (i) L = {w | w is a string of even length} (ii) L = {w | |w| mod 3 = 0} (iii) L = {w | w contains the string 001 as a substring}

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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1) Given the alphabet as {0, 1}, write a DFA for the following three regular languages.
(Give the complete description of the DFA with transition function as a table and also as a transition graph)

(i) L = {w | w is a string of even length}

(ii) L = {w | |w| mod 3 = 0}

(iii) L = {w | w contains the string 001 as a substring}

 

2)Describe the extended transition function on a string recursively using transitions one symbol at a time for the three automata of the above problem.

(i) A string (of length >=4) that belongs to the language

(II) A string (of length >=4) that does not belong to the language

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