1
GATE CSE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider the transition diagram of a $$PDA$$ given below with input alphabet $$\sum {\, = \left\{ {a,b} \right\}} $$ and stack alphabet $$\Gamma = \left\{ {X,Z} \right\}.$$ $$Z$$ is the initial stack symbol. Let $$L$$ denote the language accepted by the $$PDA.$$
Which one of the following is TRUE?
2
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider the NPDA $$\left\langle {Q = \left\{ {{q_0},{q_1},{q_2}} \right\}} \right.,$$ $$\Sigma = \left \{ 0, 1 \right \},$$ $$\Gamma = \left \{ 0, 1, \perp \right \},$$ $$\delta, q_{0}, \perp,$$ $$\left. {F = \left\{ {{q_2}} \right\}} \right\rangle $$ , where (as per usual convention) $$Q$$ is the set of states, $$\Sigma$$ is the input alphabet, $$\Gamma$$ is the stack alphabet, $$\delta $$ is the state transition function q0 is the initial state, $$\perp$$ is the initial stack symbol, and F is the set of accepting states. The state transition is as follows:
Which one of the following sequences must follow the string 101100 so that the overall string is accepted by the automaton?
3
GATE CSE 2015 Set 1
Numerical
+2
-0
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 ____
4
GATE CSE 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider the alphabet $$\sum { = \left\{ {0,1} \right\},} $$ the null/empty string $$\lambda $$ and the sets of strings $${X_0},\,{X_1},$$ and $${X_2}$$ generated by the corresponding non-terminals of a regular grammar. $${X_0},\,\,{X_1},\,$$ and $${X_2}$$ are related as follows.
$$$\eqalign{
& {X_0} = 1\,X{}_1 \cr
& {X_1} = 0{X_1} + 1\,{X_2} \cr
& {X_2} = 0\,{X_1} + \left\{ \lambda \right\} \cr} $$$
Which one of the following choices precisely represents the strings in $${X_0}$$?
Which one of the following choices precisely represents the strings in $${X_0}$$?
Questions Asked from Finite Automata and Regular Language (Marks 2)
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