2000 character limit reached
An introduction to Differential Linear Logic: proof-nets, models and antiderivatives (1606.01642v1)
Published 6 Jun 2016 in cs.LO
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.