1
GATE CSE 2011
MCQ (Single Correct Answer)
+2
-0.6
A deterministic finite automation $$(DFA)$$ $$D$$ with alphabet $$\sum { = \left\{ {a,b} \right\}} $$ is given below
Which of the following finite state machines is a valid minimal $$DFA$$ which accepts the same languages as $$D?$$
2
GATE CSE 2010
MCQ (Single Correct Answer)
+2
-0.6
Consider the languages
$$$\eqalign{
& {L_1} = \left\{ {{0^i}{1^j}\,\left| {i \ne j} \right.} \right\},\,{L_2} = \left\{ {{0^i}{1^j}\,\left| {i = j} \right.} \right\}, \cr
& {L_3} = \left\{ {{0^i}{1^j}\,\left| {i = 2j + 1} \right.} \right\}, \cr
& {L_4} = \left\{ {{0^i}{1^j}\,\left| {i \ne 2j} \right.} \right\}, \cr} $$$
3
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Which of the following statement is false?
4
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Which of the following statements are true?
$$1.$$ Every left-recursive grammar can be converted to a right-recursive grammar and vice-versa
$$2.$$ All ε-productions can be removed from any context-free grammar by suitable transformations
$$3.$$ The language generated by a context-free grammar all of whose productions are of the form $$X \to w$$ or $$X \to wY$$ (where, $$w$$ is a string of terminals and $$Y$$ is a non terminal), is always regular
$$4.$$ The derivation trees of strings generated by a context-free grammar in Chomsky Normal Form are always binary trees
$$1.$$ Every left-recursive grammar can be converted to a right-recursive grammar and vice-versa
$$2.$$ All ε-productions can be removed from any context-free grammar by suitable transformations
$$3.$$ The language generated by a context-free grammar all of whose productions are of the form $$X \to w$$ or $$X \to wY$$ (where, $$w$$ is a string of terminals and $$Y$$ is a non terminal), is always regular
$$4.$$ The derivation trees of strings generated by a context-free grammar in Chomsky Normal Form are always binary trees
Questions Asked from Push Down Automata and Context Free Language (Marks 2)
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GATE CSE Subjects
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
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