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A complete characterization of primitive recursive intensionalbehaviours

Published online by Cambridge University Press:  18 January 2008

P. Valarcher
P. Valarcher*
Affiliation:
LACL, Université Paris Est, France; valarcher@univ-paris12.fr
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Abstract

We give a complete characterization of the class of functions that are the intensional behaviours of primitive recursive (PR) algorithms. This class is the set of primitive recursive functions that have a null basic case of recursion. This result is obtained using the property of ultimate unarity and a geometrical approach of sequential functions on N the set of positive integers.

Keywords

Intensional behavioursemanticsprimitive recursion
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 42 , Issue 1: A nonstandard spirit among computer scientists:a tribute to Serge Grigorieff at the occasion of his 60th birthday , January 2008 , pp. 69 - 82
Copyright
© EDP Sciences, 2007

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