Oracle Machine
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In complexity theory and computability theory, an oracle machine is an abstract machine used to study decision problems. It can be visualized as a Turing machine with a black box, called an oracle, which is able to decide certain decision problems in a single operation. The problem can be of any complexity class. Even undecidable problems, like the halting problem, can be used.An oracle machine is a Turing machine connected to an oracle. The oracle, in this context, i...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In complexity theory and computability theory, an oracle machine is an abstract machine used to study decision problems. It can be visualized as a Turing machine with a black box, called an oracle, which is able to decide certain decision problems in a single operation. The problem can be of any complexity class. Even undecidable problems, like the halting problem, can be used.An oracle machine is a Turing machine connected to an oracle. The oracle, in this context, is thought of as an entity capable of answering some collection of questions, and usually represented as some subset A of the natural numbers. Intuitively then, the oracle machine can perform all of the usual operations of a Turing machine, and can also query the oracle for an answer to a specific question of the form "is x in A?" There are several different definitions of an oracle machine, all of which are equivalent in the sense that they agree on when a specific function f can be computed by an oracle machine with oracle A.
