Type of grammar

Question

Why isn't it LL(1) ?

Comments

First of A= a $\cap$ a = not $\varnothing$ hence not LL(1)

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What must be the condition for LL(1)?

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Why is it LR(1)

Answer 1

Given grammar is not LL(1) because for Non-terminal "A" contains two entries in LL(1) table .

	a	b	$
S	S-->aAb
A	A-->aAb A--->a

Given grammar is  LR(1)  because there is no conflict while constructing DFA for LR(1).

Comments

Why is it LR(1) ? here LR(1) means SLR(1) or CLR(1) ?

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LR(1) means CLR(1)
it uses canonical collection of LR(1) items

Answer 2

Not LL(1)

Answer 3

This grammar is not LL(1) coz we encounter a SR conflict while making canonical collection of LR(0) items.

but in case of LR(1) or CLR(1) we don't have any conflict so the correct option is c.