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GATE | Gate IT 2005 | Question 38
Let P be a non-deterministic push-down automaton (NPDA) with exactly one state, q, and exactly one symbol, Z, in its stack alphabet. State q is both the starting as well as the accepting state of the PDA. The stack is initialized with one Z before the start of the operation of the PDA. Let the input alphabet of the PDA be Σ. Let L(P) be the language accepted by the PDA by reading a string and reaching its accepting state. Let N(P) be the language accepted by the PDA by reading a string and emptying its stack.
Which of the following statements is TRUE?
(A)
L(P) is necessarily Σ* but N(P) is not necessarily Σ*
(B)
N(P) is necessarily Σ* but L(P) is not necessarily Σ*
(C)
Both L(P) and N(P) are necessarily Σ*
(D)
Neither L(P) nor N(P) are necessarily Σ*
Answer
Please comment below if you find anything wrong in the above post
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