An introduction to Differential Linear Logic: proof-nets, models and antiderivatives
Logic in Computer Science
2016-06-07 v1
Abstract
Differential Linear Logic enriches Linear Logic with additional logical rules for the exponential connectives, dual to the usual rules of dereliction, weakening and contraction. We present a proof-net syntax for Differential Linear Logic and a categorical axiomatization of its denotational models. We also introduce a simple categorical condition on these models under which a general antiderivative operation becomes available. Last we briefly describe the model of sets and relations and give a more detailed account of the model of finiteness spaces and linear and continuous functions.
Cite
@article{arxiv.1606.01642,
title = {An introduction to Differential Linear Logic: proof-nets, models and antiderivatives},
author = {Thomas Ehrhard},
journal= {arXiv preprint arXiv:1606.01642},
year = {2016}
}