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With reference of a DPDA, which among the following do we perform from the start state with an empty stack?

Question

With reference of a DPDA, which among the following do we perform from the start state with an empty stack?

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Solution

In a Deterministic Pushdown Automaton (DPDA), from the start state with an empty stack, we perform the following steps:

  1. Read the input symbol: The DPDA starts in the initial state and reads the input symbol from the input tape.

  2. Transition based on the input symbol and the top of the stack: The DPDA makes a transition to a new state based on the current input symbol and the top symbol of the stack. This transition is deterministic, meaning there is only one possible new state for any given input symbol and stack top symbol.

  3. Push or pop from the stack: Depending on the transition, the DPDA may push a new symbol onto the stack, pop the top symbol from the stack, or leave the stack as it is.

  4. Repeat steps 1-3 until the input is empty: The DPDA continues to read input symbols, make transitions, and push/pop from the stack until the input tape is empty.

  5. Accept or reject the input: Once the input tape is empty, the DPDA accepts the input if it is in an accepting state, and rejects the input otherwise. The accepting states are a subset of the states of the DPDA, and are determined when the DPDA is defined.

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