Let S = {0,1}. Let WW k = {ww| w ? S * and ? is of length k}. a. Show that for each k, no DFA can…

HIRE QUALIFIED ACADEMIC WRITERS 

Let Σ = {0,1}. Let WWk = {ww| w ∈ Σ∗ and ω is of length k}.a. Show that for each k, no DFA can recognize WWk with fewer than 2k states.b. Describe a much smaller NFA for K the complement of WWk.