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A non-uniform finitary relational semantics of system T∗

Published online by Cambridge University Press:  10 January 2013

Lionel Vaux
Lionel Vaux*
Affiliation:
Institut de Mathématiques de Luminy (IML), Aix-Marseille Université, 163 avenue de Luminy, Case 907, 13288 Marseille Cedex 9, France.. vaux@iml.univ-mrs.fr
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Abstract

We study iteration and recursion operators in the denotational semantics of typed λ-calculi derived from the multiset relational model of linear logic. Although these operators are defined as fixpoints of typed functionals, we prove them finitary in the sense of Ehrhard’s finiteness spaces.

Keywords

Higher order primitive recursiondenotational semantics
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 47 , Issue 1: 6th Workshop on Fixed Points in Computer Science (FICS'09) , January 2013 , pp. 111 - 132
Copyright
© EDP Sciences 2013

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