GATE | GATE MOCK 2017 | Question 52
Consider 2 scenarios:
C1: For DFA (ϕ, Ʃ, δ, qo, F), if F = ϕ, then L = Ʃ* C2: For NFA (ϕ, Ʃ, δ, qo, F), if F = ϕ, then L = Ʃ* Where F = Final states set ϕ = Total states set
Choose the correct option ?
(A) Both are true
(B) Both are False
(C) C1 is true, C2 is false
(D) C1 is false, C2 is true
Answer: (C)
Explanation:
In case of a NFA even if F = ϕ, there may be some states where we have no transitions defined for a particular symbol i.e Dead state rejections in NFA. Due to which, L ≠ Ʃ*.
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