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Cofree coalgebras and differential linear logic

Published 5 Jan 2017 in cs.LO | (1701.01285v2)

Abstract: We prove that the semantics of intuitionistic linear logic in vector spaces which uses cofree coalgebras is also a model of differential linear logic, and that the Cartesian closed category of cofree coalgebras is a model of the simply-typed differential lambda calculus.

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