Abstract. We study an extension of Ehrhard–Regnier’s differential linear logic along the lines of Laurent’s polarization. We show that a particular object of the well-known relational model of linear logic provides a denotational semantics for this new system, which canonically extends the semantics of both differential and polarized linear logics: this justifies our choice of cut elimination rules. Then we show this new system models the recently introduced convolution ¯ λµ-calculus, the same as linear logic decomposes λ-calculus. 1

Résumé de la thèse: λ-calcul di érentiel et logique classique: interactions calculatoires