Question:
Name the computational model that can simulate both PDA and DFA?
Name the computational model that can simulate both PDA and DFA?
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Think of the Turing Machine as a modern computer with infinite RAM. It can "run" any simpler machine (like a DFA) as if it were just a simple piece of software.
Updated On: Jul 4, 2026
- PDA
- DFA
- Compiler
- Turing machine
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The Correct Option is D
Solution and Explanation
Concept:
Computational power is hierarchical. A more powerful machine can simulate any machine below it in the hierarchy.
• Hierarchy: DFA $\subset$ PDA $\subset$ LBA $\subset$ Turing Machine.
• Universal Model: The Turing Machine is the most general model of computation.
Step 1: Defining the power of the Turing Machine.
A Turing Machine (TM) has an infinite tape and a read/write head. It can simulate a DFA by moving only in one direction and never writing.
Step 2: Simulating a PDA.
A TM can simulate a PDA by using a portion of its tape to act as a "Stack." It can push and pop symbols by writing and moving the head accordingly.
Step 3: The Church-Turing Thesis.
Any calculation that can be performed by an algorithm can be done by a TM. Since DFA and PDA are just restricted algorithms, the TM can easily simulate them.
• Hierarchy: DFA $\subset$ PDA $\subset$ LBA $\subset$ Turing Machine.
• Universal Model: The Turing Machine is the most general model of computation.
Step 1: Defining the power of the Turing Machine.
A Turing Machine (TM) has an infinite tape and a read/write head. It can simulate a DFA by moving only in one direction and never writing.
Step 2: Simulating a PDA.
A TM can simulate a PDA by using a portion of its tape to act as a "Stack." It can push and pop symbols by writing and moving the head accordingly.
Step 3: The Church-Turing Thesis.
Any calculation that can be performed by an algorithm can be done by a TM. Since DFA and PDA are just restricted algorithms, the TM can easily simulate them.
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