Match the following :List - I List - II a. Chomsky Normal form i. \(S \to b\,S\,S \mid a\,S \mid c\) b. Greibach Normal form ii. \(S \to a\,S\,b \mid ab\) c. S-grammar iii. \(S \to AS \mid a\)
\(A \to SA \mid b\)d. LL grammar iv. \(S \to a\,B\,S\,B\)
\(B \to b\)
| a | b | c | d |
| iii | iv | i | ii |
Chomsky normal form allows only A → BC or A → a; \(S \to AS \mid a,\ A \to SA \mid b\) fits, so a matches iii.
Greibach normal form needs every right side to start with a terminal followed by variables; \(S \to aBSB,\ B \to b\) fits, so b matches iv.
An s-grammar has rules of the form A → ax where each (variable, terminal) pair occurs at most once; \(S \to bSS \mid aS \mid c\) fits, so c matches i.
\(S \to aSb \mid ab\) is parsed top-down with a fixed lookahead of k = 2 symbols, so it is an LL grammar and d matches ii.
Hence, a-iii, b-iv, c-i, d-ii.
Similar Questions
The following Context-Free Grammar (CFG) :
S → aB | bA
A → a | as | bAA
B → b | bs | aBB
will generate
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\(X \to aX \mid bX \mid \lambda\)
\(Y \to bbb\)
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A. S → ABC / AB
A → a
B → b
C → dB. X → RT / TR
T → t
R → XT / rC. P → qP / sQ
Q → r / sD. M → MN / MP
N → nm / n
P → pChoose the correct answer from the options given below:
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Important Questions from Context Free Grammars
- Which of the following Grammars is/are only Context Free?
A S $\rightarrow$ Ab
aS$\rightarrow$ aA
A$\rightarrow$ aB S $\rightarrow$ Ab
A $\rightarrow$ Sa
A $\rightarrow$ aC S $\rightarrow$ AS
S $\rightarrow$ aA
A$\rightarrow$ aD S $\rightarrow$ Ab
S $\rightarrow$ aA
A$\rightarrow$ aE S $\rightarrow$ Sb
A $\rightarrow$ Aa
A $\rightarrow$ $\varepsilon$
Choose the correct answer from the options given below: Which of the following grammars is (are)ambiguous ?
(1) S → SS | aSb | bSa |e(2) S → aSbS | bSaS |e
(3) S → aAB
A → bBb
B → A Ι eConsider the grammar,
G = S → abScB | e,
B→ bB | b.
What is the language generated by the given grammar ?
Consider the given grammar
S → Abc | adA → eS | Cr| ξ
C → f/p/ξ
Compute FIRST (A)Select the sentence which is meaningful and grammatically correct.
