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To construct a DFA that accepts the set of all strings of 0s and 1s with at most one pair of consecutive 0s and at most one pair of consecutive 1s, we can use the state diagram method. The DFA will have states to keep track of the number of consecutive 0s and 1s encountered so far. We can have states like q0, q1, q00, q11 to represent different scenarios. Transitions will move between states based on the input symbols. The final state will be one where the input string is accepted according to the given conditions.

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ProfBot

3mo ago

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