Question

convert the cfg g given in exercise 2.3 to an equivalent pda, using the procedure given in theorem 2.20.

Answer 1

To convert a context-free grammar (CFG) to an equivalent Pushdown Automaton (PDA), follow the procedure in theorem 2.20. The PDA simulates the operation of the CFG by performing the same rule applications and maintaining the same stack operations. Conversion is possible under certain conditions.

Step-by-step explanation:

To convert a context-free grammar (CFG) to an equivalent Pushdown Automaton (PDA), we can follow the procedure outlined in theorem 2.20. This involves designing the PDA with states that simulate the rule applications in the CFG.

Each state represents a specific production rule in the CFG, and transitions between states correspond to applying those rules. The PDA also keeps track of the input string and the stack, using them to determine the next state and the stack operations to perform.

In other words, the PDA simulates the operation of the CFG by performing the same rule applications and maintaining the same stack operations.

It is important to note that the conversion from CFG to PDA is not always possible for all CFGs. There are certain conditions that need to be satisfied for the conversion to be valid, such as the CFG being in Chomsky normal form or Greibach normal form.