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On Banach spaces of sequences and free linear logic exponential modality

Published online by Cambridge University Press:  18 December 2017

SERGEY SLAVNOV
SERGEY SLAVNOV*
Affiliation:
National Research University Higher School of Economics, Tallinskaya-24, Moscow 123458, Russia Email: sslavnov@yandex.ru
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Abstract

We introduce a category of vector spaces modelling full propositional linear logic, similar to probabilistic coherence spaces and to Koethe sequences spaces. Its objects are rigged sequence spaces, Banach spaces of sequences, with norms defined from pairing with finite sequences, and morphisms are bounded linear maps, continuous in a suitable topology. The main interest of the work is that our model gives a realization of the free linear logic exponentials construction.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 29 , Issue 2 , February 2019 , pp. 215 - 242
Copyright
Copyright © Cambridge University Press 2017 

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