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# primitive recursive function

English-Chinese computer dictionary (英汉计算机词汇大词典). 2013.

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• 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

• Primitive recursive arithmetic — Primitive recursive arithmetic, or PRA, is a quantifier free formalization of the natural numbers. It was first proposed by Skolem [Thoralf Skolem (1923) The foundations of elementary arithmetic in Jean van Heijenoort, translator and ed. (1967)… …   Wikipedia

• Recursive function — may refer to: Recursion (computer science), a procedure or subroutine, implemented in a programming language, whose implementation references itself A total computable function, a function which is defined for all possible inputs See also μ… …   Wikipedia

• primitive recursive — adjective Of a function, capable of being constructed from the zero function, successor function, and projection functions, by a finite number of applications of composition and recursion …   Wiktionary

• 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-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

• Non-recursive function — might refer to: Recursion (computer science): a procedure or subroutine, implemented in a programming language, whose implementation references itself μ recursive function, defined from a particular formal model of computable functions using… …   Wikipedia

• Recursive — may refer to:*Recursion *Recursively enumerable language *Recursively enumerable set *Recursive filter *Recursive function *Recursive language *Recursive acronym *Recursive set *Primitive recursive function …   Wikipedia

• Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …   Wikipedia

• Recursive set — In computability theory, a set of natural numbers is called recursive, computable or decidable if there is an algorithm which terminates after a finite amount of time and correctly decides whether or not a given number belongs to the set. A more… …   Wikipedia

• recursive — A procedure that is applied once, and then applied to the result of that application, and so on. A recursive definition (definition by induction) defines the result of some operation for 0, and then the result for any number n + 1 in terms of the …   Philosophy dictionary