Friday, 12 June 2015

Q41.The Greibach normal form grammar for the language



L = {a nbn+1| n0}
is
(A) S a SB, BbB |λ
(B) S a SB, B-bB | b
(C) S a SB | b, B b
(D) S a Sb | b

Answer C.
CFG is in Greibach normal form (GNF) if the right-hand sides of all rules start with a terminal , optionally followed by some variables. A non-strict form allows one exception to this format restriction for allowing the empty word  (epsilon, ε) to be a member of the described language
One length word formed by L are {b}
When n=1 word formed by L are {abb}
When n=2 word formed by L are{aabbb}
Option A fails to realize the word. {b}.
Option B fails to realize the word {b}.
Option c realizes word {b}. {abb}.,{aabbb}.
Option D  is in not in greibach form.

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