Abstract
We present a category of locally convex topological vector spaces that is a model of
propositional classical linear logic and is based on the standard concept of Köthe sequence
spaces. In this setting, the ‘of course’ connective of linear logic has a quite simple structure
of a commutative Hopf algebra. The co-Kleisli category of this linear category is a cartesian
closed category of entire mappings. This work provides a simple setting in which typed
λ-calculus and differential calculus can be combined; we give a few examples of
computations.
Publisher
Cambridge University Press (CUP)
Subject
Computer Science Applications,Mathematics (miscellaneous)
Cited by
43 articles.
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