1
GATE CSE 2012
MCQ (Single Correct Answer)
+1
-0.3
What is the complement of the language accepted by the $$NFA$$ shown below?
Assume $$\sum { = \left\{ a \right\}\,\,} $$ and $$\varepsilon $$ is the empty string.
Assume $$\sum { = \left\{ a \right\}\,\,} $$ and $$\varepsilon $$ is the empty string.
![GATE CSE 2012 Theory of Computation - Finite Automata and Regular Language Question 80 English](https://imagex.cdn.examgoal.net/oH41u6734uzghrsqO/a68VppbNDoX5b4xPpCGabCt3KW0cQ/4x4LI3h1UHc49nqwZHJgt4/uploadfile.jpg)
2
GATE CSE 2012
MCQ (Single Correct Answer)
+2
-0.6
Consider the set of strings on $$\left\{ {0,1} \right\}$$ in which, every substring of $$3$$ symbols has at most two zeros. For example, $$001110$$ and $$011001$$ are in the language, but $$100010$$ is not. All strings of length less than $$3$$ are also in the language. A partially completed $$DFA$$ that accepts this language is shown below.
The missing arcs in the $$DFA$$ are
![GATE CSE 2012 Theory of Computation - Finite Automata and Regular Language Question 44 English](https://gateclass.cdn.examgoal.net/olFQCr7IZufQ1Np4b/Hu0yW4b9SYPwYGRPdHYWXzKLhZIWj/IEa6joCWF62KW7YdtXrmes/uploadfile.jpg)
3
GATE CSE 2012
MCQ (Single Correct Answer)
+1
-0.3
Which of the following problems are decidable?
$$1.$$ Does a given program ever produce an output?
$$2.$$ If L is a context-free language, then, is $$\overline L $$ also context-free?
$$3.$$ If L is a regular language, then, is $$\overline L $$ also regular?
$$4.$$ If L is a recursive language, then, is $$\overline L $$ also recursive?
$$1.$$ Does a given program ever produce an output?
$$2.$$ If L is a context-free language, then, is $$\overline L $$ also context-free?
$$3.$$ If L is a regular language, then, is $$\overline L $$ also regular?
$$4.$$ If L is a recursive language, then, is $$\overline L $$ also recursive?
Paper analysis
Total Questions
Algorithms
4
Compiler Design
1
Computer Networks
6
Computer Organization
5
Data Structures
3
Database Management System
7
Digital Logic
1
Discrete Mathematics
12
Operating Systems
5
Programming Languages
4
Theory of Computation
3
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