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1 LAMA - Laboratoire de Mathématiques

Abstract : We construct a symmetric monoidal closed category of -polynomial endofunctors- as objects and -simulation cells- as morphisms. This structure is defined using universal properties without reference to representing polynomial diagrams and is reminiscent of Day-s convolution on presheaves. We then make this category into a model for intuitionistic linear logic by defining an additive and exponential structure.

Keywords : polynomial functors linear logic Day convolution

Autor: Pierre Hyvernat -

Fuente: https://hal.archives-ouvertes.fr/


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