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JNU 2018-1 PhD CS
October 26, 2023
JNU 2018-2 PhD CS
October 26, 2023
JNU 2018-1 PhD CS
October 26, 2023
JNU 2018-2 PhD CS
October 26, 2023

JNU 2018-2 PhD CS

Question 1
If L and ~L (complement of L) are recursive enumerable, then L is
A
regular
B
context free
C
context sensitive
D
recursive
Question 1 Explanation: 
If L is recursively enumerable that means a TM accepts all strings in L. ~L is recursively enumerable means that a TM accepts all strings in ~L.So we can always decide if a string is in L or not. Since we can always decide so it is recursive.
Correct Answer: D
Question 1 Explanation: 
If L is recursively enumerable that means a TM accepts all strings in L. ~L is recursively enumerable means that a TM accepts all strings in ~L.So we can always decide if a string is in L or not. Since we can always decide so it is recursive.
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