For each of the CFGs below in construct a PDA that accepts the same language they generate,

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For each of the CFGs below in construct a PDA that accepts the same language they generate, using the algorithm of Theorem 30).

The PDA we produce by the algorithm of Theorem 30 is

(i) S → (S)(S) I a
Parentheses are terminals here.
(ii) How many words are there in this language with exactly four a's?

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