1
GATE CSE 2000
+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?
A
$$S \subset T$$
B
$$T \subset S$$
C
$$S=T$$
D
$$S \cap T = \phi$$
2
GATE CSE 2000
+1
-0.3
Let $$L$$ denote the language generated by the grammar $$S \to 0S\left. 0 \right|00.$$ Which one of the following is true?
A
$$L = {0^ + }$$
B
$$L$$ is regular but not $${0^ + }$$
C
$$L$$ is context free but not regular
D
$$L$$ is not context free
3
GATE CSE 1999
+1
-0.3
Consider the regular expression $$(0+1)(0+1).......n$$ times. The minimum state finite automation that recognizes the language represented by this regular expression contains:
A
$$n$$ states
B
$$n+1$$ states
C
$$n+2$$ states
D
None of the above
4
GATE CSE 1998
+1
-0.3
If the regular set $$A$$ is represented by $$A = {\left( {01 + 1} \right)^ * }$$ and the regular set $$'B'$$ is represented by $$B = \left( {{{\left( {01} \right)}^ * }{1^ * }} \right),$$ which of the following is true?
A
$$A \subset B$$
B
$$B \subset A$$
C
$$A$$ and $$B$$ are incomparable
D
$$A=B$$
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