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 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Cambridge
Cambridge University Press
01.01.2020
Cambridge University Press (CUP) |
| Témata: | |
| ISSN: | 0960-1295, 1469-8072 |
| On-line přístup: | Získat plný text |
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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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| Bibliografie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 0960-1295 1469-8072 |
| DOI: | 10.1017/S0960129519000112 |