Choose the correct statement
A)recursive set ? recursive enumerable set
B)total function is same as partial function
C)recursive sets are analogous to total functions
D)both recursive set ? recursive enumerable set and recursive sets are analogous to total functions are correct.

Question

Quizplus · Accepted Answer

Recursive sets, also known as decidable or computable sets, are indeed analogous to total functions, where every input has a defined output. Recursive enumerable sets, on the other hand, are semi-decidable or computably enumerable, meaning that if an element is in the set, there is a procedure to confirm its membership, but if it's not, the procedure may never halt. This distinction aligns with the difference between total functions (defined for every input) and partial functions (not necessarily defined for every input). Thus, both statements in D are correct, reflecting the relationship between these computational concepts.

Choose the Correct Statement