1
GATE CSE 2015 Set 1
Numerical
+2
-0
GATE CSE 2015 Set 1 Theory of Computation - Finite Automata and Regular Language Question 21 English

Consider the DFAs M and N given above. The number of states in a minimal DFA that accepts the language L(M) ∩ L(N) is___________.

Your input ____
2
GATE CSE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Let $${L_1} = \left\{ {w \in \left\{ {0,1} \right\}{}^ * \left| w \right.} \right.$$ has at least as many occurrences of $$(110)'s$$ as $$(011)'s$$$$\left. \, \right\}$$. Let $${L_2} = \left\{ {w \in \left\{ {0,\,\,1} \right\}{}^ * \left| w \right.} \right.$$ has at least as many occurrences of $$(000)'s$$ as $$(111)'s$$$$\left. \, \right\}$$. Which one of the following is TRUE?
A
$${L_1}$$ is regular but not $${L_2}$$
B
$${L_2}$$ is regular but not $${L_1}$$
C
Both $${L_1}$$ and $${L_2}$$ are regular
D
Neither $${L_1}$$ nor $${L_2}$$ are regular
3
GATE CSE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Let $${L_1} = \left\{ {w \in \left\{ {0,1} \right\}{}^ * \left| w \right.} \right.$$ has at least as many occurrences of $$(110)'s$$ as $$(011)'s$$$$\left. \, \right\}$$. Let $${L_2} = \left\{ {w \in \left\{ {0,\,\,1} \right\}{}^ * \left| w \right.} \right.$$ has at least as many occurrences of $$(000)'s$$ as $$(111)'s$$$$\left. \, \right\}$$. Which one of the following is TRUE?
A
$${L_1}$$ is regular but not $${L_2}$$
B
$${L_2}$$ is regular but not $${L_1}$$
C
Both $${L_1}$$ and $${L_2}$$ are regular
D
Neither $${L_1}$$ nor $${L_2}$$ are regular
4
GATE CSE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Which of the regular expression given below represent the following $$DFA?$$ GATE CSE 2014 Set 1 Theory of Computation - Finite Automata and Regular Language Question 32 English 1 GATE CSE 2014 Set 1 Theory of Computation - Finite Automata and Regular Language Question 32 English 2
A
$${\rm I}$$ and $${\rm II}$$ only
B
$${\rm I}$$ and $${\rm III}$$ only
C
$${\rm II}$$ and $${\rm III}$$ only
D
$${\rm I}$$, $${\rm II}$$ and $${\rm III}$$
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