Consider the following two statements computer science gate 2007

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GATE-Computer-Science-Engineering--Information-Technology-Question-Paper-with-Answer-key-2007-download-->View question

Consider the following two statements: -computer science-gate-2007

Consider the following two statements:
P: Every regular grammar is LL(I)
Q: Every regular set has a LR(I) grammar
Which of the following is TRUE?
(A) Both P and Q are true.
(C) P is false and Q is true.
(B) P is true and Q is false.
(D) Both P and Q are false. 

Asked by:Amogh

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(C) P is false and Q is true.
A regular grammar can also be ambiguous also
For example, consider the following grammar,                             
S → aA/a
A → aA/ε
In above grammar, string 'a' has two leftmost
(1)   S → aA                      (2)   S → a
      S->a (using A->ε)
And LL(1) parses only unambiguous grammar,
so statement P is False.
Statement Q is true is for every regular set, we can have a regular
grammar which is unambiguous so it can be parse by LR parser. 
So option C is correct choice

Answerd By:Aparna-Dasgupta

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