###### Question 11772 – Sorting

February 20, 2024###### Question 4473 – Research Aptitude

February 21, 2024Alan’s task is to design an algorithm for a decision problem P . He knows that there is an algorithm A that transforms instances of P to instances of the Halting Problem such that yes instances of P map to yes instances of the Halting Problem, and no instances of P map to no instances of the Halting problem. Which of the following is true.

Correct Answer: C

Question 4 Explanation:

The reduction is from P to the Halting Problem, so we cannot infer undecidability of P .

The existence of A implies the existence of an algorithm for P .

The existence of A implies that there is no algorithm for P .

The existence of A says nothing about whether there is an algorithm for P .

The Halting Problem can be solved using A.

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