Di erential Linear Logic and Polarization
نویسنده
چکیده
We extend Ehrhard Regnier's di erential 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 di erential and polarized linear logics: this justi es our choice of cut elimination rules. Then we show this polarized di erential linear logic re nes the recently introduced convolution λ̄μ-calculus, the same as linear logic decomposes λ-calculus.
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