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Previous Year Question (PYQs)



 Consider the following language families:

$L_1\equiv$ The context-free languages

$L_2\equiv$ The context-sensitive languages

$L_3\equiv$ The recursively enumerable languages

$L_4\equiv$ The recursive languages

Which one of the following options is correct?






Solution

The Chomsky hierarchy and decidability relation is:

Context-free languages $\subseteq$ Context-sensitive languages

Context-sensitive languages $\subseteq$ Recursive languages

Recursive languages $\subseteq$ Recursively enumerable languages

So,

$L_1\subseteq L_2\subseteq L_4\subseteq L_3$



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