# An introduction to differential linear logic: proof-nets, models and antiderivatives

@article{Ehrhard2017AnIT, title={An introduction to differential linear logic: proof-nets, models and antiderivatives}, author={Thomas Ehrhard}, journal={Mathematical Structures in Computer Science}, year={2017}, volume={28}, pages={995 - 1060} }

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…

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