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intensional behaviour

RAIRO - Theoretical Informatics and Applications (1)

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A complete characterization of primitive recursive intensional behaviours
P. Valarcher
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 42 / Issue 1 / January 2008

Published online by Cambridge University Press:

18 January 2008, pp. 69-82

Print publication:

January 2008
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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.