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.

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