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For a counter automaton, with the symbols A and Z0, the string on the stack is always in the form of __________

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For a counter automaton, with the symbols A and Z0, the string on the stack is always in the form of __________

(a) A

(b) A^nZ0, n>=0

(c) Z0A^n, n>=0

(d) None of the mentioned

I got this question in examination.

This interesting question is from From Grammars to Push Down Automata topic in portion Push Down Automata of Automata Theory

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Best answer
The correct option is (b) A^nZ0, n>=0

Best explanation: The possible change in the stack contents is a change in the number of A’s on the stack.

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