What is a decision problem?
Q: What is a decision problem?
A: A decision problem is a question in some formal system with a yes-or-no answer, dependent on the values of input parameters.
Q: In what fields of study do decision problems appear?
A: Decision problems typically appear in mathematical questions of decidability.
Q: What is the meaning of decidability?
A: Decidability refers to the question of the existence of an effective method to determine the existence of some object or its membership in a set.
Q: Are all problems in mathematics decidable?
A: No, some of the most important problems in mathematics are undecidable.
Q: What is an undecidable problem?
A: An undecidable problem is a problem for which no algorithm exists that can always provide a yes-or-no answer within a finite amount of time.
Q: Is the answer to a decision problem always yes or no?
A: Yes, the answer to a decision problem is always yes or no.
Q: What does the answer to a decision problem depend on?
A: The answer to a decision problem depends on the values of the input parameters.