no. 1
A complete characterization of primitive recursive intensional behaviours
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 1, pp. 69-82.

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.

DOI : 10.1051/ita:2007053
Classification : 68Q25, 68Q55, 68W40
Mots clés : intensional behaviour, semantics, primitive recursion 
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     title = {A complete characterization of primitive recursive intensional behaviours},
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     pages = {69--82},
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Valarcher, P. A complete characterization of primitive recursive intensional behaviours. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 1, pp. 69-82. doi : 10.1051/ita:2007053. http://www.numdam.org/articles/10.1051/ita:2007053/

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