Primitive recursion in the abstract

Recurrence can be used as a function definition schema for any nontrivial free algebra, yielding the same computational complexity in all cases. We show that primitive-recursive computing is in fact independent of free algebras altogether, and can be characterized by a generic programming principle,...

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Vydáno v:Mathematical structures in computer science Ročník 30; číslo 1; s. 33 - 43
Hlavní autoři: Leivant, Daniel, Marion, Jean-Yves
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cambridge Cambridge University Press 01.01.2020
Cambridge University Press (CUP)
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ISSN:0960-1295, 1469-8072
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Shrnutí:Recurrence can be used as a function definition schema for any nontrivial free algebra, yielding the same computational complexity in all cases. We show that primitive-recursive computing is in fact independent of free algebras altogether, and can be characterized by a generic programming principle, namely the control of iteration by the depletion of finite components of the underlying structure.
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ISSN:0960-1295
1469-8072
DOI:10.1017/S0960129519000112