General iteration and unary functions (Q1182467)
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scientific article; zbMATH DE number 31338
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | General iteration and unary functions |
scientific article; zbMATH DE number 31338 |
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General iteration and unary functions (English)
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28 June 1992
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The paper provides a programming-oriented characterization of the class of partial recursive functions. Basically, it is shown that all p.r. functions can be obtained starting with the successor and excess-over-a- square functions by using addition, composition and a while-do iteration operator. Variants of this result, obtained by changing the arity types of functions or by substituting some of the basic operators are also proved. As a by-product, Kleene's normal form theorem is derived in a more precise and programming-oriented setting.
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general computable function
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partial recursive functions
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while-do iteration operator
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