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Pushdown Automata - Hampden-Sydney College

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The Grammar Rules<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 (⇐), continued.<br />

For the rules in Group 2, use all pairs of transitions<br />

where the second transition pops the same symbol that<br />

the first transition pushes.<br />

For each such pair of transitions δ(p, a, ε) = (r, c) and<br />

δ(s, b, c) = (q, ε), write the rule<br />

A pq → aA rs b.

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