The categorical models of the differential lambda-calculus are additivecategories because of the Leibniz rule which requires the summation of twoexpressions . This means that, as far as the differential Lambdacalculus and linear logic are concerned, these models feature finitenondeterminism . We introduce a categorical framework for differentiation which does not requireadditivity and is compatible with deterministic models such as coherence spaces .

Author(s) : Thomas Ehrhard

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Keywords : models - differential - differentiation - categorical - -

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