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partial recursive operator

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  • Μ-recursive function — In mathematical logic and computer science, the μ recursive functions are a class of partial functions from natural numbers to natural numbers which are computable in an intuitive sense. In fact, in computability theory it is shown that the μ… …   Wikipedia

  • μ operator — In computability theory, the μ operator, minimization operator, or unbounded search operator searches for the least natural number with a given property. Contents 1 Definition 2 Properties 3 Examples …   Wikipedia

  • μ-recursive function — In mathematical logic and computer science, the μ recursive functions are a class of partial functions from natural numbers to natural numbers which are computable in an intuitive sense. In fact, in computability theory it is shown that the μ… …   Wikipedia

  • Μ operator — In computability theory, the μ operator, minimization operator, or unbounded search operator searches for the least natural number with a given property. Definition Suppose that R( y, x1 , . . ., xk ) is a fixed k+1 ary relation on the natural… …   Wikipedia

  • Primitive recursive function — The primitive recursive functions are defined using primitive recursion and composition as central operations and are a strict subset of the recursive functions (recursive functions are also known as computable functions). The term was coined by… …   Wikipedia

  • Algorithm characterizations — The word algorithm does not have a generally accepted definition. Researchers are actively working in formalizing this term. This article will present some of the characterizations of the notion of algorithm in more detail. This article is a… …   Wikipedia

  • Counter machine — A counter machine is an abstract machine used in formal logic and theoretical computer science to model computation. It is the most primitive of the four types of register machines. A counter machine comprises a set of one or more unbounded… …   Wikipedia

  • Kleene's recursion theorem — In computability theory, Kleene s recursion theorems are a pair of fundamental results about the application of computable functions to their own descriptions. The theorems were first proved by Stephen Kleene in 1938.This article uses the… …   Wikipedia

  • Counter machine models — This page supplements counter machine. Although some authors use the name register machine synonymously with counter machine , this article will give details and examples of only of the most primitive species the counter machine of the genus… …   Wikipedia

  • Recursion theory — Recursion theory, also called computability theory, is a branch of mathematical logic that originated in the 1930s with the study of computable functions and Turing degrees. The field has grown to include the study of generalized computability… …   Wikipedia

  • Computability theory — For the concept of computability, see Computability. Computability theory, also called recursion theory, is a branch of mathematical logic that originated in the 1930s with the study of computable functions and Turing degrees. The field has grown …   Wikipedia

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