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?
S 1, S 2and S 3
L is context-free, and context-free languages are closed under concatenation and Kleene star. Therefore \(L^2\), every fixed \(L^k\) and \(L^*\) are context-free.
Although CFLs are not generally closed under complement, \(L=\{a^n b^n\mid n\ge0\}\) is deterministic context-free: a DPDA pushes for a’s and pops for b’s. DCFLs are closed under complement, so \(\overline L\) is also context-free. All three statements are true.
Important Questions from Context Free Languages - Teaching
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?
The language L = {a ib c i | i ≥ 0} over the alphabet {a, b, c} is :
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 ?
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
Which of the following statements is true ?
