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higher order primitive recursion

RAIRO - Theoretical Informatics and Applications (1)

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A non-uniform finitary relational semantics of systemT ∗
Lionel Vaux
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 47 / Issue 1 / January 2013

Published online by Cambridge University Press:

10 January 2013, pp. 111-132

Print publication:

January 2013
- Article
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We study iteration and recursion operators in the denotational semantics of typedλ-calculi derived from the multiset relational model of linear logic.Although these operators are defined as fixpoints of typed functionals, we prove themfinitary in the sense of Ehrhard’s finiteness spaces.