1
GATE CSE 2023
MCQ (Single Correct Answer)
+2
-0.67

Consider the following program:

int main ( )
{
f1( );
f2(2);
f3( );
return (0);
}
int f1( )
{
return (1);
}
int f2 (int X)
{
f3( );
if (X==1)
return f1 ( );
else
return (X*f2(X$$-$$1));
}
int f3( )
{
return (5);
}

Which one of the following options represents the activation tree corresponding to the main function?

A
GATE CSE 2023 Programming Languages - Basic of Programming Language Question 3 English Option 1
B
GATE CSE 2023 Programming Languages - Basic of Programming Language Question 3 English Option 2
C
GATE CSE 2023 Programming Languages - Basic of Programming Language Question 3 English Option 3
D
GATE CSE 2023 Programming Languages - Basic of Programming Language Question 3 English Option 4
2
GATE CSE 2023
MCQ (Single Correct Answer)
+1
-0.33

Consider the Deterministic Finite-state Automation (DFA) $$A$$ shown below. The DFA runs on the alphabet {0, 1}, and has the set of states {$$s,p,q,r$$}, with $$s$$ being the start state and $$p$$ being the only final state.

GATE CSE 2023 Theory of Computation - Finite Automata and Regular Language Question 10 English

Which one of the following regular expressions correctly describes the language accepted by $$A$$?

A
$$1(0^*11)^*$$
B
$$0(0+1)^*$$
C
$$1(0+11)^*$$
D
$$1(110^*)^*$$
3
GATE CSE 2023
MCQ (Single Correct Answer)
+1
-0.33

Consider the following definition of a lexical token id for an identifier in a programming language, using extended regular expressions:

$$\mathrm{letter\to[A-Za-z]}$$

$$\mathrm{letter\to[0-9]}$$

$$\mathrm{id\to letter(letter\,|\,digit)^*}$$

Which one of the following Non-deterministic Finite-state Automata with $$\varepsilon $$-transmissions accepts the set of valid identifiers? (A double-circle denotes a final state)

A
GATE CSE 2023 Theory of Computation - Finite Automata and Regular Language Question 8 English Option 1
B
GATE CSE 2023 Theory of Computation - Finite Automata and Regular Language Question 8 English Option 2
C
GATE CSE 2023 Theory of Computation - Finite Automata and Regular Language Question 8 English Option 3
D
GATE CSE 2023 Theory of Computation - Finite Automata and Regular Language Question 8 English Option 4
4
GATE CSE 2023
MCQ (More than One Correct Answer)
+1
-0.33

Which of the following statements is/are CORRECT?

A
The intersection of two regular languages is regular.
B
The intersection of two context-free languages is context-free.
C
The intersection of two recursive languages is recursive.
D
The intersection of two recursively enumerable languages is recursively enumerable.
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