Question 2499 – UGC NET CS 2017 Nov- paper-2
April 16, 2024
Question 7881 – Theory-of-Computation
April 16, 2024
Question 2499 – UGC NET CS 2017 Nov- paper-2
April 16, 2024
Question 7881 – Theory-of-Computation
April 16, 2024

Closure-Property

Question 2

The set of all recursively enumerable languages is

A
closed under complementation.
B
closed under intersection.
C
a subset of the set of all recursive languages.
D
an uncountable set.
Question 2 Explanation: 
Recursive enumerable languages are closed under intersection.

Recursive enumerable languages are not closed under Complementation.
Recursive enumerable languages are a countable set, as every recursive enumerable language has a corresponding Turing Machine and set of all Turing Machine is countable.

Recursive languages are subset of recursive enumerable languages.
Correct Answer: B
Question 2 Explanation: 
Recursive enumerable languages are closed under intersection.

Recursive enumerable languages are not closed under Complementation.
Recursive enumerable languages are a countable set, as every recursive enumerable language has a corresponding Turing Machine and set of all Turing Machine is countable.

Recursive languages are subset of recursive enumerable languages.

Leave a Reply

Your email address will not be published. Required fields are marked *