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Pushdown Automata - Hampden-Sydney College

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The Start Symbol<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 (⇐), conclusion.<br />

Let q start be the start state and q accept be the accept<br />

state.<br />

Then the start symbol is A qstart q accept<br />

.<br />

If we can eventually replace the start symbol with all<br />

terminals, then the string of terminals must be in the<br />

language.<br />

Therefore, L(G) = L(M).

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