1
GATE CSE 2006
MCQ (Single Correct Answer)
+1
-0.3
Let $${L_1} = \left\{ {{0^{n + m}}{1^n}{0^m}\left| {n,m \ge 0} \right.} \right\},$$
$$\,\,\,{L_2} = \left\{ {{0^{n + m}}{1^{n + m}}{0^m}\left| {n,m \ge 0} \right.} \right\},$$ and
$$\,\,\,\,{L_3} = \left\{ {{0^{n + m}}{1^{n + m}}{0^{n + m}}\left| {n,m \ge 0} \right.} \right\},$$ Which of these languages are NOT context free?
A
$${L_1}$$ only
B
$${L_3}$$ only
C
$${L_1}$$ and $${L_2}$$
D
$${L_2}$$ and $${L_3}$$
2
GATE CSE 2004
MCQ (Single Correct Answer)
+1
-0.3
Which of the following grammar rules violate the requirements of an operator grammar ? $$P,$$ $$Q, R$$ are non-terminals and $$r, s, t$$ are terminals. \eqalign{ & 1)\,\,\,P \to Q\,R\,\,\,\,\,2)\,\,\,P \to Q\,s\,R \cr & 3)\,\,\,P \to c\,\,\,\,\,\,\,\,\,\,\,4)P \to Q\,t\,R\,r \cr}\$
A
$$(1)$$ only
B
$$(1)$$ and $$(3)$$ only
C
$$(2)$$ and $$(3)$$ only
D
$$(3)$$ and $$(4)$$ only
3
GATE CSE 2002
MCQ (Single Correct Answer)
+1
-0.3
The language accepted by a pushdown Automation in which the stack is limited to $$10$$ items is best described as
A
Context free
B
Regular
C
Deterministic Context Free
D
Recursive
4
GATE CSE 2001
MCQ (Single Correct Answer)
+1
-0.3
Which of the following statement is true?
A
If a language is context free it can always be accepted by deterministic pushdown automation
B
The union of two context free language is context free
C
The intersection of two context free languages is context free
D
The complement of a context free language is context free
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