2009 | OriginalPaper | Buchkapitel
Differential Linear Logic and Polarization
verfasst von : Lionel Vaux
Erschienen in: Typed Lambda Calculi and Applications
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
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
${\bar\lambda}\mu$
-calculus, the same as linear logic decomposes
λ
-calculus.