Let a k-PDA be a pushdown automaton that has k stacks. Thus a 0-PDA is an NFA
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Let a k-PDA be a pushdown automaton that has k stacks. Thus a 0-PDA is an NFA and a 1-PDA is a conventional PDA. You already know that 1-PDAs are more powerful (recognize a larger class of languages) than 0-PDAs.
a. Show that 2-PDAs are more powerful than 1-PDAs.
b. Show that 3-PDAs are not more powerful than 2-PDAs.
Simulate a Turing machine tape with two stacks.
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1 a To prove a 2PDA is more powerful than a 1PDA it must be shown that a 2PDA can do anything a 1PDA ...View the full answer
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