@inproceedings{girard_geometry_1995,
address = {Berlin, Heidelberg},
series = {{NATO} {ASI} {Series}},
title = {On {Geometry} of {Interaction}},
isbn = {978-3-642-79361-5},
doi = {10/fr557p},
abstract = {The paper expounds geometry of interaction, for the first time in the full case, i.e. for all connectives of linear logic, including additives and constants. The interpretation is done within a C*-algebra which is induced by the rule of resolution of logic programming, and therefore the execution formula can be presented as a simple logic programming loop. Part of the data is public (shared channels) but part of it can be viewed as private dialect (defined up to isomorphism) that cannot be shared during interaction, thus illustrating the theme of communication without understanding. One can prove a nilpotency (i.e. termination) theorem for this semantics, and also its soundness w.r.t. a slight modification of familiar sequent calculus in the case of exponential-free conclusions.},
language = {en},
booktitle = {Proof and {Computation}},
publisher = {Springer},
author = {Girard, Jean-Yves},
editor = {Schwichtenberg, Helmut},
year = {1995},
note = {ZSCC: NoCitationData[s0]},
keywords = {Interactive semantics, Linear logic},
pages = {145--191}
}
@article{girard_linear_1987,
title = {Linear logic},
volume = {50},
issn = {0304-3975},
url = {http://www.sciencedirect.com/science/article/pii/0304397587900454},
doi = {10/cmv5mj},
abstract = {The familiar connective of negation is broken into two operations: linear negation which is the purely negative part of negation and the modality “of course” which has the meaning of a reaffirmation. Following this basic discovery, a completely new approach to the whole area between constructive logics and programmation is initiated.},
language = {en},
number = {1},
urldate = {2019-11-26},
journal = {Theoretical Computer Science},
author = {Girard, Jean-Yves},
month = jan,
year = {1987},
note = {ZSCC: 0005505},
keywords = {Denotational semantics, Linear logic, Type theory},
pages = {1--101}
}