Example of Converting Pushdown Automaton to Context-Free Grammar

Here we give an example of the PDA to CFG conversion process. It starts by modifying the PDA so that there is a single final state, the stack ends empty, and every transition either pushes or pops but not both. Then we add Type I, II, and III rules. The first two only depend on the states, and Type III relies on finding "matching" transitions (i.e., a pair where one pushes a symbol x, and the other pops the same symbol x).

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