Use the pumping lemma to show that the following languages are not context free. a. {0 n

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Use the pumping lemma to show that the following languages are not context free.

a. {0n1n0 n1n| n ≥ 0}

Ab. {0n#02n#03n| n ≥ 0}

Ac. {w#t| w is a substring of t, where w, t ∈ {a, b}*}

d. {t1#t2# · · · #tk| k ≥ 2, each ti ∈ {a, b}*, and ti = tj for some i ≠ j}

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