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A non-uniform finitary relational semantics of systemT∗

Published online by Cambridge University Press:  10 January 2013

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

Abstract

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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.