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1. Consider a set of (nested) list structures described by a context-free grammar with the fol- lowing productions: S → (A) A → B , A, B Find a pushdown automaton which accepts only those (correct) list structures which con- tain not more then three elements at each level; for example, (a, (a,a,a), ((a),a)) and C(a),a, ((a,a),a)) should be accepted but ((a),a, (a,a),a) should not Hint: Use consecutive elements of the stack as counters of the number of elements on the corresponding levels of the analyzed list structure.

This is my third time asking this question. Please no not copy the answer with java code as done before and post it. I dont need a code answer. I need pushdown automata. Thanks.

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