Voir la notice de l'article provenant de la source Numdam
Quantum Coherent Spaces were introduced by Girard as a quantum framework where to interpret the exponential-free fragment of Linear Logic. Aim of this paper is to extend Girard's interpretation to a subsystem of linear logic with bounded exponentials. We provide deduction rules for the bounded exponentials and, correspondingly, we introduce the novel notion of bounded exponentials of Quantum Coherent Spaces. We show that the latter provide a categorical model of our system. In order to do that, we first study properties of the category of Quantum Coherent Spaces.
@article{ITA_2010__44_4_419_0,
author = {Baratella, Stefano},
title = {Quantum coherent spaces and linear logic},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {419--441},
publisher = {EDP-Sciences},
volume = {44},
number = {4},
year = {2010},
doi = {10.1051/ita/2010021},
mrnumber = {2775405},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ita/2010021/}
}
TY - JOUR AU - Baratella, Stefano TI - Quantum coherent spaces and linear logic JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2010 SP - 419 EP - 441 VL - 44 IS - 4 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ita/2010021/ DO - 10.1051/ita/2010021 LA - en ID - ITA_2010__44_4_419_0 ER -
%0 Journal Article %A Baratella, Stefano %T Quantum coherent spaces and linear logic %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2010 %P 419-441 %V 44 %N 4 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ita/2010021/ %R 10.1051/ita/2010021 %G en %F ITA_2010__44_4_419_0
Baratella, Stefano. Quantum coherent spaces and linear logic. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010) no. 4, pp. 419-441. doi: 10.1051/ita/2010021
Cité par Sources :