1
GATE CSE 2015 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Consider the following grammar $$G$$

$$\eqalign{ & \,\,\,\,\,\,\,S \to \,\,\,\,\,\,\,F|H \cr & \,\,\,\,\,\,F \to \,\,\,\,\,\,\,p|c \cr & \,\,\,\,\,\,H \to \,\,\,\,\,\,\,d|c \cr} $$

where $$S, F$$ and $$H$$ are non-terminal symbols, $$p, d,$$ and $$c$$ are terminal symbols. Which of the following statement(s) is/are correct?

$$\,\,\,\,\,\,\,S1.\,\,\,\,\,\,\,LL\left( 1 \right)\,\,$$ can parse all strings that are generated using grammar $$G$$
$$\,\,\,\,\,\,\,S2.\,\,\,\,\,\,\,LR\left( 1 \right)\,\,$$ can parse all strings that are generated using grammar $$G$$

A
Only $$S1$$
B
Only $$S2$$
C
both $$S1$$ and $$S2$$
D
Neither $$S1$$ nor $$S2$$
2
GATE CSE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6

A canonical set of items is given below

$$\eqalign{ & S \to L. > R \cr & Q \to R. \cr} $$

On input symbol < the set has

A
a shift-reduce conflict and a reduce-reduce conflict.
B
a shift-reduce conflict but not a reduce-reduce conflict.
C
a reduce-reduce conflict but not a shift-reduce conflict.
D
neither a shift-reduce nor a reduce-reduce conflict.
3
GATE CSE 2013
MCQ (Single Correct Answer)
+2
-0.6

Consider the following two sets of LR(1) items of an LR(1) grammar.

$$\eqalign{ & X \to c.X,\,c/d\,\,\,\,\,\,\,\,X \to c.X,\$ \cr & X \to .cX,c/d\,\,\,\,\,\,\,\,X \to .cX,\$ \cr & X \to .d,c/d\,\,\,\,\,\,\,\,\,\,\,X \to .d,\$ \cr} $$

Which of the following statements related to merging of the two sets in the corresponding LALR parser is/are FALSE?

1. Cannot be merged since look aheads are different.
2. Can be merged but will result in S-R conflict.
3. Can be merged but will result in R-R conflict.
4. Cannot be merged since goto on c will lead to two different sets.

A
1 only
B
2 only
C
1 and 4 only
D
1, 2, 3 and 4
4
GATE CSE 2010
MCQ (Single Correct Answer)
+2
-0.6
The grammar $$S \to aSa\,|\,\,bS\,|\,\,c$$ is
A
LL(1) but not LR(1)
B
LR(1) but not LR(1)
C
Both LL(1) and LR(1)
D
Neither LL(1) nor LR(1)
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