On Köthe sequence spaces and linear logic
2002 ◽
Vol 12
(5)
◽
pp. 579-623
◽
Keyword(s):
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.
1972 ◽
Vol 14
(1)
◽
pp. 105-118
Keyword(s):
1992 ◽
Vol 15
(1)
◽
pp. 65-81
◽
1971 ◽
Vol 14
(1)
◽
pp. 119-120
◽
2000 ◽
Vol 13
(1)
◽
pp. 73-75