Synopsis
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In computability theory, a set is decidable, computable, or recursive if there is an algorithm that terminates after a finite amount of time and correctly decides whether or not a given object belongs to the set. Decidability of a set is of particular interest when the set is viewed as a decision problem; a decidable set is also a decidable problem, computable problem, and recursive problem. The remainder of this article uses the term decidable, although recursive and computable are equivalent in this context. A language is a set of finite strings over a particular alphabet. A language is decidable (also computable, recursive) if it is a decidable set. A set, language, or decision problem that is not decidable is undecidable, non-recursive, non-computable, or uncomputable. There are many known undecidable sets; one of the earliest, and most famous, examples is the halting problem.
Reseña del editor
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In computability theory, a set is decidable, computable, or recursive if there is an algorithm that terminates after a finite amount of time and correctly decides whether or not a given object belongs to the set. Decidability of a set is of particular interest when the set is viewed as a decision problem; a decidable set is also a decidable problem, computable problem, and recursive problem. The remainder of this article uses the term decidable, although recursive and computable are equivalent in this context. A language is a set of finite strings over a particular alphabet. A language is decidable (also computable, recursive) if it is a decidable set. A set, language, or decision problem that is not decidable is undecidable, non-recursive, non-computable, or uncomputable. There are many known undecidable sets; one of the earliest, and most famous, examples is the halting problem.
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