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GATE CS 2021 : Theory of computation Quiz 6 (App update required to attempt this test)
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Question 1
Consider the following statements regarding to the pumping lemma-
I. If NFA accept a string of length having atleast equal to the number of states I.e |w|<=n then language is infinite.
II. If n state FA is accepting infinite language it surely accept the string between length n & 2n-1.
Then which of the following is true regarding it?
I. If NFA accept a string of length having atleast equal to the number of states I.e |w|<=n then language is infinite.
II. If n state FA is accepting infinite language it surely accept the string between length n & 2n-1.
Then which of the following is true regarding it?
Question 2
Consider the following statements:
S1 : {(an)m |n < m > 0}
S2 :{(anbn)|n >1} {anbm |n>1, m > 1}
Which of the following is regular?
Question 3
The language of primes in unary is:
Question 4
Whether the language given by L = {anb2nc3n | n>=1} is CFL or not? Write 1 for true or 0 for false.
Question 5
Which one of the following languages over Σ = {a, b}is NOT context-free?
Question 6
Consider the following sentences.
I. If L1 ⋃ L2 is regular, then both L1 and L2 must be regular.
II. The class of regular languages is closed under infinite union.
Which of the above statements is/are TRUE?
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