Aspire Faculty ID #18844 · Topic: UGC NET Computer Science Nov 2021 (Paper II) · Just now
UGC NET Computer Science Nov 2021 (Paper II)

Given below are two statements

Statement I: The family of context free languages is closed under homomorphism.

Statement II: The family of context free languages is closed under reversal.

In light of the above statements, choose the correct answer from the options given below.

Solution

Context free languages are closed under homomorphism.

So, if $L$ is CFL, then $h(L)$ is also CFL.

Therefore, Statement I is true.

Context free languages are also closed under reversal.

So, if $L$ is CFL, then $L^R$ is also CFL.

Therefore, Statement II is true.

Hence, both Statement I and Statement II are true.

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