Conversion of Pushdown Automaton to Context-Free Grammar (PDA to CFG)

Here we outline the PDA to CFG conversion, which involves utilizing the "recursive" structure of the PDA we modified in the last video. The variables of the grammar involve going from one state of the PDA to another with the same stack height. Then it is simply modeling what the "base" case is, and how the "inductive" cases will work, all as rules in the CFG.

What is a context-free grammar? It is a set of 4 items: a set of "variables," a set of "terminals," a "start variable," and a set of rules. Each rule must involve a single variable on its "left side", and any combination of variables and terminals on its right side. See https://www.youtube.com/watch?v=h1OSmLSacNA&ab_channel=EasyTheory for more details.

What is a pushdown automaton? It is a finite state machine, where on each transition, items can be pushed or popped off of a stack it has, which has unlimited height. See https://www.youtube.com/watch?v=Br44Zxv84-Q&ab_channel=EasyTheory for more details.

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