Question: 5. [12 marks] This question allows you to explore variants of the computational models we've defined in class. Let a k-PDA be a pushdown automaton

5. [12 marks] This question allows you to explore variants of

5. [12 marks] This question allows you to explore variants of the computational models we've defined in class. Let a k-PDA be a pushdown automaton that has k stacks. In this sense, a 0-PDA is an NFA and a 1-PDA is a conventional PDA. We know that 1-PDAs are more powerful (recognize a larger class of languages) than 0-PDAs (b) 6 marks] Show that 3-PDAs are not more powerful than 2-PDAs. (Hint: Show how to simulate 3 stacks using just 2 stacks.)

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