1
GATE CSE 2024 Set 2
MCQ (Single Correct Answer)
+1
-0.33

Which one of the following regular expressions is equivalent to the language accepted by the DFA given below?

GATE CSE 2024 Set 2 Theory of Computation - Finite Automata and Regular Language Question 4 English

A

0*1(0 + 10*1)*

B

0*(10*11)*0*

C

0*1(010*1)*0*

D

0(1 + 0*10*1)*0*

2
GATE CSE 2024 Set 1
MCQ (More than One Correct Answer)
+1
-0

Let $L_1, L_2$ be two regular languages and $L_3$ a language which is not regular. Which of the following statements is/are always TRUE?

A

$L_1 = L_2$ if and only if $L_1 \cap \overline{L_2} = \emptyset$

B

$L_1 \cup L_3$ is not regular

C

$\overline{L_3}$ is not regular

D

$L_1 \cup \overline{L_2}$ is regular

3
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 11 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
$$1(110^*)^*$$
4
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 9 English Option 1
B
GATE CSE 2023 Theory of Computation - Finite Automata and Regular Language Question 9 English Option 2
C
GATE CSE 2023 Theory of Computation - Finite Automata and Regular Language Question 9 English Option 3
D
GATE CSE 2023 Theory of Computation - Finite Automata and Regular Language Question 9 English Option 4
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