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Question

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

The correct answer is

Both Statement I and Statement II are true

Both statements are true. For homomorphism, replace each terminal in a context-free grammar by its image string. For reversal, reverse the order of symbols on the right-hand side of every production. The resulting grammars generate the homomorphic image and reversal, respectively.

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Important Questions from Context Free Languages - Teaching

  1. Consider the following statements about Context Free Language (CFL):

    Statement I: CFL is closed under homomorphism.

    Statement II: CFL is closed under complement.

    Which of the following is correct?

  2. Consider the following statements with respect to the language L = {a nb n|n≥ 0}

    S 1: L 2is context free language

    S 2: L kis context-free language for any given k ≥ 1

    S 3: L̅ and L* are context free languages

    Which one of the following is correct?

  3. The language L = {a ib c i | i ≥  0} over the alphabet {a, b, c} is :

  4. Consider the following languages :

    L 1 = {a m b n | m ≠ n}

    L 2 = {a m b n | m = 2n + 1}

    L 3 = {a m b n | m ≠ 2n}

    Which one of the following statement is correct ? 

  5. Which of the following statements is true ?

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