Constructing a dfa/nfa or a regex), Mathematics

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Let ∑ = (0, 1). Define the following language:

L = {x | x contains an equal number of occurrences of 01 and 10}

Either prove L is regular (by constructing a DFA/NFA or a regex) or prove that it is not regular using the Pumping Lemma for regular languages.

 


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