# Quantum coherent spaces and linear logic

RAIRO - Theoretical Informatics and Applications (2011)

- Volume: 44, Issue: 4, page 419-441
- ISSN: 0988-3754

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topBaratella, Stefano. "Quantum coherent spaces and linear logic." RAIRO - Theoretical Informatics and Applications 44.4 (2011): 419-441. <http://eudml.org/doc/193069>.

@article{Baratella2011,

abstract = {
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.
},

author = {Baratella, Stefano},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Quantum coherent spaces; linear logic; bounded exponentials; denotational semantics; normalization; quantum coherent spaces},

language = {eng},

month = {2},

number = {4},

pages = {419-441},

publisher = {EDP Sciences},

title = {Quantum coherent spaces and linear logic},

url = {http://eudml.org/doc/193069},

volume = {44},

year = {2011},

}

TY - JOUR

AU - Baratella, Stefano

TI - Quantum coherent spaces and linear logic

JO - RAIRO - Theoretical Informatics and Applications

DA - 2011/2//

PB - EDP Sciences

VL - 44

IS - 4

SP - 419

EP - 441

AB -
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.

LA - eng

KW - Quantum coherent spaces; linear logic; bounded exponentials; denotational semantics; normalization; quantum coherent spaces

UR - http://eudml.org/doc/193069

ER -

## References

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