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

Random-access Machine - Introduction To The Model - Creating "convenience Instructions" From The Base Sets

... Moreover, from base sets 1, 2, or 3 we can create any of the primitive

... Moreover, from base sets 1, 2, or 3 we can create any of the primitive

**recursive functions**( cf Minsky (1967), Boolos-Burgess-Jeffrey (2002) ) ... (How to cast the net wider to capture the total and partial mu**recursive functions**will be discussed in context of indirect addressing) ... However, building the primitive**recursive functions**is difficult because the instruction sets are so.. ...μ-recursive Function

... In mathematical logic and computer science, the μ-

... In mathematical logic and computer science, the μ-

**recursive functions**are a class of partial**functions**from natural numbers to natural numbers which are ... In fact, in computability theory it is shown that the μ-**recursive functions**are precisely the**functions**that can be computed by Turing machines ... The μ-**recursive functions**are closely related to primitive**recursive functions**, and their inductive definition (below) builds upon that of the primitive**recursive functions**...Counter Machine Reference Model - Footnotes

... axioms and the operators of the primitive

... axioms and the operators of the primitive

**recursive functions**... to use this second model in his discussion of its equivalence to the primitive**recursive functions**and the general-**recursive functions**(cf p ... Expressions The McCarthy Formalism) This type of operator can also be found as the CASE**function**defined in Kleene (1952) p ...History Of The Church–Turing Thesis - Simple Arithmetic Functions Irreducible To Primitive Recursion

... Gabriel Sudan (1927) and Wilhelm Ackermann (1928) display

... Gabriel Sudan (1927) and Wilhelm Ackermann (1928) display

**recursive functions**that are not primitive**recursive**"Are there recursions that are not ... on to state that indeed the Gödel-Herbrand definition does indeed "characterize all**recursive functions**" – see the quote in 1934, below ...Recursive Call - Types of Recursion - Structural Versus Generative Recursion

... The distinction is related to where a

... The distinction is related to where a

**recursive**procedure gets the data that it works on, and how it processes that data typically decompose their arguments into their ... If one of the immediate components belongs to the same class of data as the input, the**function**is**recursive**... For that reason, we refer to these**functions**as (STRUCTURALLY)**RECURSIVE FUNCTIONS**...### Famous quotes containing the word functions:

“Those things which now most engage the attention of men, as politics and the daily routine, are, it is true, vital *functions* of human society, but should be unconsciously performed, like the corresponding *functions* of the physical body.”

—Henry David Thoreau (1817–1862)

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