1
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
The language $$L = \left\{ {{0^i}{{21}^i}\,|\,i \ge 0} \right\}$$ over the alphabet $$\left\{ {0,1,2} \right\}$$ is
2
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the $$CFG$$ with $$\left\{ {S,A,B} \right\}$$ as the non-terminal alphabet, $$\left\{ {a,b} \right\}$$ as the terminal alphabet, $$S$$ as the start symbol and the following set of production rules:
![GATE CSE 2007 Theory of Computation - Push Down Automata and Context Free Language Question 31 English](https://gateclass.static.cdn.examgoal.net/GvTR3PhDPw0iEQWAq/VgRmuQ8TavaMrVjGYfE7Extihgxdn/rUAMna6PaK6INm3irGBdtR/uploadfile.jpg)
For the correct string of (earlier question) how many derivation trees are there?
3
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the $$CFG$$ with $$\left\{ {S,A,B} \right\}$$ as the non-terminal alphabet, $$\left\{ {a,b} \right\}$$ as the terminal alphabet, $$S$$ as the start symbol and the following set of production rules:
![GATE CSE 2007 Theory of Computation - Push Down Automata and Context Free Language Question 32 English](https://gateclass.static.cdn.examgoal.net/GvTR3PhDPw0iEQWAq/VgRmuQ8TavaMrVjGYfE7Extihgxdn/rUAMna6PaK6INm3irGBdtR/uploadfile.jpg)
Which of the following strings is generated by the grammar?
4
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
Consider the following statements about the context-free grammar
$$G = \left\{ {S \to SS,\,S \to ab,\,S \to ba,\,S \to \varepsilon } \right\}$$
$$1.$$ $$G$$ is ambiguous
$$2.$$ $$G$$ produces all strings with equal number of $$a's$$ and $$b's$$
$$3.$$ $$G$$ can be accepted by a deterministic $$PDA$$.
$$G = \left\{ {S \to SS,\,S \to ab,\,S \to ba,\,S \to \varepsilon } \right\}$$
$$1.$$ $$G$$ is ambiguous
$$2.$$ $$G$$ produces all strings with equal number of $$a's$$ and $$b's$$
$$3.$$ $$G$$ can be accepted by a deterministic $$PDA$$.
Which combination below expresses all the true statements about $$G?$$
Questions Asked from Push Down Automata and Context Free Language (Marks 2)
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