GATE | CS | 2017 | Set 2 | TOC | Regular Expressions & Languages| Question 48

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Consider the following languages.
L1 = {ap | p is a prime number}
L2 = {anbmc2m | n >= 0, m >= 0}
L3 = {anbnc2n | n >= 0}
L4 = {anbn | n >= 1}

Which of the following are CORRECT ?
I. L1 is context free but not regular.
II. L2 is not context free.
III. L3 is not context free but recursive.
IV. L4 is deterministic context free.

I, II and IV only

II and III only

I and IV only

III and IV only

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