1
GATE CSE 2011
MCQ (Single Correct Answer)
+2
-0.6
A deterministic finite automation $$(DFA)$$ $$D$$ with alphabet $$\sum { = \left\{ {a,b} \right\}} $$ is given below GATE CSE 2011 Theory of Computation - Finite Automata and Regular Language Question 44 English

Which of the following finite state machines is a valid minimal $$DFA$$ which accepts the same languages as $$D?$$

A
GATE CSE 2011 Theory of Computation - Finite Automata and Regular Language Question 44 English Option 1
B
GATE CSE 2011 Theory of Computation - Finite Automata and Regular Language Question 44 English Option 2
C
GATE CSE 2011 Theory of Computation - Finite Automata and Regular Language Question 44 English Option 3
D
GATE CSE 2011 Theory of Computation - Finite Automata and Regular Language Question 44 English Option 4
2
GATE CSE 2010
MCQ (Single Correct Answer)
+2
-0.6
Let $$w$$ be any string of length $$n$$ in $${\left\{ {0,1} \right\}^ * }$$. Let $$L$$ be the set of all substrings of $$w.$$ What is the minimum number of states in a non-deterministic finite automation that accepts $$L$$?
A
$$n-1$$
B
$$n$$
C
$$n+1$$
D
$${2^{n + 1}}$$
3
GATE CSE 2010
MCQ (Single Correct Answer)
+2
-0.6
Let $$L = \left\{ {w \in {{\left( {0 + 1} \right)}^ * }\left| {\,w} \right.} \right.$$ has even number of $$\,\left. {1's} \right\},$$ i.e $$L$$ is the set of all bit strings with even number of $$1's.$$ which one of rhe regular expression below represents $$L.$$
A
$$\left( {{0^ * }{{10}^ * }1} \right){}^ * $$
B
$${0^ * }\left( {{{10}^ * }{{10}^ * }} \right){}^ * $$
C
$${0^ * }\left( {{{10}^ * }1} \right){}^ * {0^ * }$$
D
$${0^ * }\,\,1\left( {{{10}^ * }1} \right){}^ * {10^ * }$$
4
GATE CSE 2009
MCQ (Single Correct Answer)
+2
-0.6
$$L = {L_1} \cap {L_2}$$ where $${L_1}$$ and $${L_2}$$ are languages defined as follows.
$${L_1} = \left\{ {{a^m}{b^m}\,c\,{a^n}{b^n}\left| {m,n \ge 0} \right.} \right\}$$
$${L_2} = \left\{ {{a^i}{b^i}{c^k}\left| {i,j,k \ge 0} \right.} \right\}$$ Then $$L$$ is
A
Not recursive
B
Regular
C
Context free but not regular
D
Recursively enumerable but not context free
GATE CSE Subjects
Software Engineering
Web Technologies
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