1
GATE CSE 2014 Set 3
Numerical
+1
-0
The length of the shortest string NOT in the language (over $$\sum { = \left\{ {a,\,\,b} \right\}} $$) of the following regular expression is ____________. $$$a{}^ * b{}^ * \left( {ba} \right){}^ * a{}^ * $$$
Your input ____
2
GATE CSE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
If $${L_1} = \left\{ {{a^n}\left| {n \ge \left. 0 \right\}} \right.} \right.$$ and $${L_2} = \left\{ {{b^n}\left| {n \ge \left. 0 \right\}} \right.} \right.,$$ consider
$$\left. {\rm I} \right)$$ $$\,\,\,{L_{1 \bullet }}{L_2}$$ is a regular language
$$\left. {\rm II} \right)$$ $$\,\,\,{L_{1 \bullet }}{L_2} = \left\{ {{a^n}{b^n}\left| {n \ge \left. 0 \right\}} \right.} \right.$$
Which one of the following is CORRECT?
A
Only $$\left( {\rm I} \right)$$
B
Only $$\left( {\rm II} \right)$$
C
Both $$\left( {\rm I} \right)$$ and $$\left( {\rm II} \right)$$
D
Neither $$\left( {\rm I} \right)$$ nor $$\left( {\rm II} \right)$$
3
GATE CSE 2013
MCQ (Single Correct Answer)
+1
-0.3
Consider the languages $${L_1} = \phi $$ and $${L_2} = \left\{ a \right\}.$$ Which one of the following represents $${L_1}\,L_2^ * UL_1^ * ?$$
A
$$\left\{ \varepsilon \right\}$$
B
$$\phi $$
C
$${a^ * }$$
D
$$\left\{ {\varepsilon ,a} \right\}$$
4
GATE CSE 2012
MCQ (Single Correct Answer)
+1
-0.3
What is the complement of the language accepted by the $$NFA$$ shown below?
Assume $$\sum { = \left\{ a \right\}\,\,} $$ and $$\varepsilon $$ is the empty string. GATE CSE 2012 Theory of Computation - Finite Automata and Regular Language Question 71 English
A
$$\phi $$
B
$$\left\{ \varepsilon \right\}$$
C
$$a{}^ * $$
D
$$\left\{ {a,\,\,\varepsilon } \right\}$$
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