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Pushdown Automata - Hampden-Sydney College

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The Variables<br />

<strong>Pushdown</strong><br />

<strong>Automata</strong> -<br />

Equivalence<br />

to CFGs<br />

Robb T.<br />

Koether<br />

Homework<br />

Review<br />

Equivalence<br />

of PDAs and<br />

CFGs<br />

Proof ⇒<br />

Proof ⇐<br />

Long Example<br />

Short<br />

Example<br />

Assignment<br />

Proof (⇐).<br />

For every pair of states p and q in M, we create a<br />

variable A pq .<br />

The variable A pq is interpreted to mean<br />

“Get from state p with an empty stack to state q with an<br />

empty stack.”<br />

Since the stack starts and ends empty, we must push a<br />

symbol at the beginning and pop a symbol at the end.

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