1
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Match the following $$NFAs$$ with the regular expressions they correspond to GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 42 English 1 GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 42 English 2 GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 42 English 3 GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 42 English 4 GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 42 English 5
A
$$P - 2,\,Q - 1,\,R - 3,\,S - 4$$
B
$$P - 1,\,Q - 3,\,R - 2,\,S - 4$$
C
$$P - 1,\,Q - 2,\,R - 3,\,S - 4$$
D
$$P - 3,\,Q - 2,\,R - 1,\,S - 4$$
2
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Which of the following are regular sets? GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 41 English
A
$${\rm I}$$ & $${\rm I}V$$ only
B
$${\rm I}$$ & $${\rm III}$$ only
C
$${\rm I}$$ only
D
$${\rm I}V$$ only
3
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Which of the following statement is false?
A
Every $$NFA$$ can be converted to an equivalent $$DFA$$
B
Every non-deterministic Turing machine can be converted to an equivalent deterministic Turing machine.
C
Every regular language is also a context- free language
D
Every subset of a recursively enumerable set is recursive
4
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Which of the following statements are true?
$$1.$$ Every left-recursive grammar can be converted to a right-recursive grammar and vice-versa
$$2.$$ All ε-productions can be removed from any context-free grammar by suitable transformations
$$3.$$ The language generated by a context-free grammar all of whose productions are of the form $$X \to w$$ or $$X \to wY$$ (where, $$w$$ is a string of terminals and $$Y$$ is a non terminal), is always regular
$$4.$$ The derivation trees of strings generated by a context-free grammar in Chomsky Normal Form are always binary trees
A
$$1,2,3$$ and $$4$$
B
$$2, 3$$ and $$4$$ only
C
$$1,3$$ and $$4$$ only
D
$$1,2$$ and $$4$$ only
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