1

GATE CSE 2003

MCQ (Single Correct Answer)

+1

-0.3

Consider the set $$\sum {^ * } $$ of all strings over the alphabet $$\,\sum { = \,\,\,\left\{ {0,\,\,\,1} \right\}.\sum {^ * } } $$ with the concatenation operator for strings

2

GATE CSE 2001

MCQ (Single Correct Answer)

+1

-0.3

Consider the following two statements;

$${S_1}\,\,:\,\,\left\{ {{0^{2n}}\left| {n \ge 1} \right.} \right\}$$ is a regular language

$${S_2}\,\,:\,\,\left\{ {{0^m}{1^n}{0^{m + n}}\left| {m \ge 1} \right.\,\,and\,\,n \ge \left. 1 \right\}} \right.$$ is a regular language

$${S_1}\,\,:\,\,\left\{ {{0^{2n}}\left| {n \ge 1} \right.} \right\}$$ is a regular language

$${S_2}\,\,:\,\,\left\{ {{0^m}{1^n}{0^{m + n}}\left| {m \ge 1} \right.\,\,and\,\,n \ge \left. 1 \right\}} \right.$$ is a regular language

Which of the following statements is correct?

3

GATE CSE 2001

MCQ (Single Correct Answer)

+1

-0.3

Given an arbitrary non-deterministic finite automaton $$(NFA)$$ with $$N$$ states, the maximum number of states in an equivalent minimized $$DFA$$ is at least

4

GATE CSE 2000

MCQ (Single Correct Answer)

+1

-0.3

Let $$S$$ and $$T$$ be languages over $$\sum { = \left\{ {a,b} \right\}} $$ represented by the regular expressions $${\left( {a + {b^ * }} \right)^ * }$$ and $$\,{\left( {a + b} \right)^ * },$$ respectively. Which of the following is true?

Questions Asked from Finite Automata and Regular Language (Marks 1)

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