Differential linear logic and polarization
Résumé
We extend Ehrhard-Regnier's differential linear logic along the lines of Laurent's polarization. We provide a denotational semantics of this new system in the well-known relational model of linear logic, extending canonically the semantics of both differential and polarized linear logics: this justifies our choice of cut elimination rules. Then we show this polarized differential linear logic refines the recently introduced convolution lambda-mu-calculus, the same as linear logic decomposes lambda-calculus. ̄
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