1

GATE CSE 2014 Set 3

MCQ (Single Correct Answer)

+2

-0.6

Consider the following languages over the alphabet $$\sum { = \left\{ {0,\,1,\,c} \right\}:} $$

$$\eqalign{ & {L_1} = \left\{ {{0^n}\,{1^n}\,\left| {n \ge } \right.0} \right\} \cr & {L_2} = \left\{ {wc{w^r}\,\left| {w \in \left\{ {0,\,1} \right\}{}^ * } \right.} \right\} \cr & {L_3} = \left\{ {w{w^r}\,\left| {w \in \left\{ {0,\,1} \right\}{}^ * } \right.} \right\} \cr} $$

$$\eqalign{ & {L_1} = \left\{ {{0^n}\,{1^n}\,\left| {n \ge } \right.0} \right\} \cr & {L_2} = \left\{ {wc{w^r}\,\left| {w \in \left\{ {0,\,1} \right\}{}^ * } \right.} \right\} \cr & {L_3} = \left\{ {w{w^r}\,\left| {w \in \left\{ {0,\,1} \right\}{}^ * } \right.} \right\} \cr} $$

Here, $${w^r}$$ is the reverse of the string $$w.$$ Which of these languages are deterministic Context- free languages?

2

GATE CSE 2014 Set 3

MCQ (Single Correct Answer)

+1

-0.3

Let $$\sum \, $$ be a finite non - empty alphabet and let $${2^{\sum {{}^ * } }}$$ be the power set of $$\sum {{}^ * .\,} $$ Which one of the following is

**TRUE**?3

GATE CSE 2014 Set 3

MCQ (Single Correct Answer)

+2

-0.6

Which one of the following problems is un-decidable?

Paper analysis

Total Questions

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2

Computer Networks

6

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3

Data Structures

6

Database Management System

5

Digital Logic

4

Discrete Mathematics

14

Operating Systems

4

Programming Languages

2

Software Engineering

1

Theory of Computation

4

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