8 relations: Boolean function, Computability theory, Computable function, Hartley Rogers, Jr., Natural number, Oracle machine, Reduction (complexity), Turing reduction.

In mathematics and logic, a (finitary) Boolean function (or switching function) is a function of the form ƒ: Bk → B, where B.

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Computability theory, also called recursion theory, is a branch of mathematical logic, of computer science, and of the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees.

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Computable functions are the basic objects of study in computability theory.

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Hartley Rogers, Jr. was a mathematician who worked in recursion theory, and was a professor in the Mathematics Department of the Massachusetts Institute of Technology.

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In mathematics, the natural numbers (sometimes called the whole numbers): "whole number An integer, though sometimes it is taken to mean only non-negative integers, or just the positive integers." give definitions of "whole number" under several headwords: INTEGER … Syn. whole number.

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In complexity theory and computability theory, an oracle machine is an abstract machine used to study decision problems.

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In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem.

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In computability theory, a Turing reduction from a problem A to a problem B, is a reduction which solves A, assuming the solution to B is already known (Rogers 1967, Soare 1987).

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Bounded Turing reduction, Truth table reduction, Tt-reduction, Weak truth table reduction, Wtt reduction.