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Which of the following statements is FALSE?

1. Any DCFL has an equivalent grammar that can be parsed by a SLR(1) parser with end string delimiter
2. Languages of grammars parsed by LR(2) parsers is a strict super set of the languages of grammars parsed by LR(1) parsers
3. Languages of grammars parsed by LL(2) parsers is a strict super set of the languages of grammars parsed by LL(1) parsers
4. There is no DCFL which is not having a grammar that can be parsed by a LR(1) parser
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0
d false
0
Which is that DCFL?
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@Arjun Sir, is the answer C?

my reasoning is as follows,

consider a grammar

S -> aA/aB

A -> cA/c

B -> bB/b

The above grammar is LL(2).

now the above grammar can be converted into LL(1) as follows

S -> aS'

S' -> cA/ϵ

S' -> bB/ϵ

similarly every other LL(2) grammar should be convertable to LL(1) grammar.

+2
No, that is wrong. For every $k$ Language of LL(k) is a strict subset of Language of LL(k+1)
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@Arjun Sir, Option A holds for both SLR(1) and LR(0) then?

+1
Yes. It does.
+2
$B?$

as, $Lang(LR(2))=Lang(LR(1))$
0
Yes.
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Option A holds for both SLR(1) and LR(0) then?

https://gatecse.in/category/compiler-design/

Sir, here it is mentioned that

Language of LR(0) (set of all LR(0) grammars) is same as "DCFL having prefix property"

Then how can Option A hold true for LR(0)?

0
Yes. It does. SLR parser uses LR(0) items only.

B is false because LR(k) is equivalent to LR(k+1) grammar not any superset relationship
by (27 points)

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+1 vote
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