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BARC CS 2018 Nuclear Quiz -2 (TOC)

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Question 1

Given the following grammars:

Which of the following is correct?

Question 2

The regular grammar for the language  is given by:
(Assume, p, q, r and s are non-terminals)

Question 3

Consider the following statements:
I. Recursive languages are closed under complementation.
II. Recursively enumerable languages are closed under union.
III. Recursively enumerable languages are closed under complementation.
Which of the above statements are true?

Question 4

Let L1 be a recursive language and L2 be a recursive enumerable language. Then L2 – L1 is?

Question 5

Find the solution for the following instance of post correspondence problem. Let ∑ = {0, 1}. Let X and Y be lists of three strings as follows:
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