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Turing completeness
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==Turing oracles== {{main article|Oracle machine}} A computer with access to an infinite tape of data may be more powerful than a Turing machine: for instance, the tape might contain the solution to the [[halting problem]] or some other Turing-undecidable problem. Such an infinite tape of data is called a [[Turing oracle]]. Even a Turing oracle with random data is not computable ([[Almost surely|with probability 1]]), since there are only countably many computations but uncountably many oracles. So a computer with a random Turing oracle can compute things that a Turing machine cannot.
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