Pushdown Automata - Hampden-Sydney College
Pushdown Automata - Hampden-Sydney College
Pushdown Automata - Hampden-Sydney College
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Equivalence of PDAs and CFGs<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 />
Given a PDA M, we must construct a grammar G that<br />
generates L(M).<br />
Modify M so that<br />
M has a single accept state.<br />
M empties its stack before accepting.<br />
Each transition either pushes one symbol or pops one<br />
symbol, but not both.