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GATE Prev Year : Theory of Computation-7

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Question 1

Which one of the following is FALSE?

Question 2

Which of the following pairs have DIFFERENT expressive power?

Question 3

Consider the languages L1, L2 and L3 as given below.
L1 = {0p 1q | p,q ∈ N},
L2 = {0p 1q | p,q ∈ N, and p=q} and
L3 = {0p 1q 0r| p,q,r ∈ N, and p=q=r}

Which of the following statements is NOT TRUE?

Question 4

Let Lbe a regular language, Lbe a deterministic context-free language and La recursively enumerable but not recursive language.

Which one of the following statements is false?

Question 5

Consider the machine M:
 
The language recognized by M is:

Question 6

The language L = {0i21i| i ≥ 0} over the alphabet {0,1,2} is :
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