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

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

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 …