Which of the following statements about the halting problem is correct?
A) it is a computable problem
B) no Turing machine exists to solve this problem
C) a Turing machine exists that solves the problem
D) if it cannot be done by a Turing machine, it is still computable

Question

Quizplus · Accepted Answer

The halting problem is a well-known example of an undecidable problem in computer science. This means that no Turing machine can solve this problem for all possible inputs. It has been proven mathematically that there is no algorithm that can determine, given an arbitrary input and program, whether the program will eventually halt or loop forever. Therefore, option B is the correct statement. Options A and C are false because the halting problem is not computable, and there is no Turing machine that can solve it. Option D is also false because if a problem cannot be solved by a Turing machine, it means it is not computable.

Which of the Following Statements About the Halting Problem Is