### Some articles on *recursive, recursive functions, partial recursive function, recursive function, functions*:

Tennenbaum's Theorem - Recursive Structures For PA

... A structure in the language of PA is

... A structure in the language of PA is

**recursive**if there are**recursive functions**+ and × from to, a**recursive**two-place relation < on, and ... Because the isomorphism must be a bijection, every**recursive**model is countable ...Recursively Enumerable Set - Equivalent Formulations

... That is, S is the domain (co-range) of a

... That is, S is the domain (co-range) of a

**partial recursive function**... There is a**partial recursive function**f such that Enumerability The set S is the range of a**partial recursive function**... The set S is the range of a total**recursive function**or empty ...

Adequate Pointclass

... can be called adequate if it contains all

... can be called adequate if it contains all

**recursive**pointsets and is closed under**recursive**substitution, bounded universal and existential quantification and preimages by**recursive functions**This ...Counter Machine Models - The Models in More Detail - 1961: Minsky's Model of A

... led Minsky to the following definition of "an interesting basis for

**Partial Recursive Function**Reduced To A "program" of Only Two Instructions... led Minsky to the following definition of "an interesting basis for

**recursive function**theory involving programs of only the simplest arithmetic ... His "Theorem Ia" asserts that any**partial recursive function**is represented by "a program operating on two integers S1 and S2 using instructions Ij of the forms (cf Minsky (1961) p ... a second "Theorem IIa" that "...represents any**partial recursive function**by a program operating on one integer S using instructions Ij of the forms" Action Description a ...*
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### Famous quotes containing the words function and/or partial:

“The uses of travel are occasional, and short; but the best fruit it finds, when it finds it, is conversation; and this is a main *function* of life.”

—Ralph Waldo Emerson (1803–1882)

“The one-eyed man will be King in the country of the blind only if he arrives there in full possession of his *partial* faculties—that is, providing he is perfectly aware of the precise nature of sight and does not confuse it with second sight ... nor with madness.”

—Angela Carter (1940–1992)

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