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Give pushdown automata that accept the following languages. Draw a state transition diagram and give an explanation of how each PDA works. (a) {a n

Give pushdown automata that accept the following languages. Draw a state transition diagram and give an explanation of how each PDA works.

(a) {aⁿ b²ⁿ | n 0}.

(b) {w {0, 1}* | #₁(w) = #₀(w)}.

(d) {0ⁿ 1^m | n < m}.

(e) {aⁱ b^j c^k d^l | i = k or j = l}.

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