Pushdown Automaton - Example

Example

The following is the formal description of the PDA which recognizes the language by final state:

, where

consists of the following six instructions:

, and .

In words, in state for each symbol read, one is pushed onto the stack. Pushing symbol on top of another is formalized as replacing top by . In state for each symbol read one is popped. At any moment the automaton may move from state to state, while it may move from state to accepting state only when the stack consists of a single .

There seems to be no generally used representation for PDA. Here we have depicted the instruction by an edge from state to state labelled by (read ; replace by ).

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