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Formal Language & Automata TheoryDesign deterministic finite automata for the set of strings over the alphabet \{a, b\} containing at least three occurrences of three consecutive b's, overlapping permitted (e.g., the string bbbbb should be accepted).20197mFORMAL LANGUAGE & AUTOMATA THEORYLet L \subseteq \{0,1,2\}^* be strings without consecutive identical symbols (no 00, no 11, no 22). Design a DFA for L.20227mFORMAL LANGUAGE & AUTOMATA THEORYConstruct DFA that accepts strings over \Sigma = \{a,b\} which start with aba.20247mFORMAL LANGUAGE & AUTOMATA THEORYConstruct DFA for all strings over \{0,1\} interpreted as binary numbers divisible by 4.20247m