Which of the following is a component of a Pushdown Automaton (PDA)?A) QueueB) StackC) TapeD) Register

Break Down the Problem

We need to identify which among the given options is a component of a Pushdown Automaton (PDA).

Relevant Concepts

A Pushdown Automaton is a type of automaton that makes use of a stack to store additional information allowing it to recognize context-free languages. The key components of a PDA typically include:

• Input tape (which usually just acts as a read-only input),
• A finite set of states,
• Transition functions,
• A stack (which is crucial for the operation of PDAs).

Analysis and Detail

1. Queue: This data structure operates in a First-In-First-Out (FIFO) manner and is not used in PDAs.
2. Stack: This component operates on a Last-In-First-Out (LIFO) basis and is a defining characteristic of PDAs.
3. Tape: This component is typically associated with Turing machines rather than PDAs.
4. Register: While useful in some computing contexts, registers are not specifically used in the mechanism of a PDA.

Verify and Summarize

Among the options given, the only correct answer that directly matches with a component of a Pushdown Automaton is the "Stack."

Final Answer

B) Stack