Computer Sciences > GATE 2021 SET-1 > Formal Languages and Automata Theory
Consider the following statements.
S1: For every infinite regular language L, there exists a subset L′ of L such that L′ is infinite and context-free.
S2: For every context-free language L, there exists a subset L′ of L such that L′ is infinite and regular.
Which one of the following options is correct?
A
S1 is true and S2 is false.
B
S1 is false and S2 is true.
C
Both S1 and S2 are true.
D
Both S1 and S2 are false.

Explanation

Correct : c

Similar Questions

What is the worst-case time complexity of insertion in an AVL tree?
Question #23 Medium
Which operations on a binary search tree have O(h) complexity?
Question #31 Easy
Compare search complexities of sorted array vs balanced BST.
Question #47 Hard

Related Topics

Data Structures Binary Search Tree Time Complexity Algorithm Analysis Tree Algorithms Computer Science