1

GATE CSE 2003

MCQ (Single Correct Answer)

+2

-0.6

Define Languages $${L_0}$$ and $${L_1}$$ as follows

$${L_0} = \left\{ { < M,\,w,\,0 > \left| {M\,\,} \right.} \right.$$ halts on $$\left. w \right\}$$

$${L_1} = \left\{ { < M,w,1 > \left| M \right.} \right.$$ does not halts on $$\left. w \right\}$$

$${L_0} = \left\{ { < M,\,w,\,0 > \left| {M\,\,} \right.} \right.$$ halts on $$\left. w \right\}$$

$${L_1} = \left\{ { < M,w,1 > \left| M \right.} \right.$$ does not halts on $$\left. w \right\}$$

Here $$ < M,\,w,\,i > $$ is a triplet, whose first component, $$M$$ is an encoding of a Turing Machine, second component, $$w$$, is a string, and third component, $$t,$$ is a bit.

Let $$L = {L_0} \cup {L_1}.$$ Which of the following is true?

Paper analysis

Total Questions

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Discrete Mathematics

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8

Programming Languages

7

Theory of Computation

8

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