Question: Prove that the following languages are not regular. (a) L= {w: na(w) nb (w)}. Hint: First, show that the language L = {w: na

Prove that the following languages are not regular. (a) L= {w: na(w)

Prove that the following languages are not regular. (a) L= {w: na(w) nb (w)}. Hint: First, show that the language L = {w: na (w) = nb (w)} is not regular, then by closure properties you can show that the complement of the language is not regular. (b) L= {ww: we {a, b}}. Hint: Suppose L is regular and m is given. We pick w = ambamb in L.

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