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This paper revisits the authors' notion of a differential category from a different perspective. A differential category is an additive symmetric monoidal category with a como...
Richard Blute, J. Robin B. Cockett, R. A. G. Seely
A category with biproducts is enriched over (commutative) additive monoids. A category with tensor products is enriched over scalar multiplication actions. A symmetric monoidal ca...
We show that the category FinVectk of finite dimensional vector spaces and linear maps over any field k is (collectively) complete for the traced symmetric monoidal category freely...
Masahito Hasegawa, Martin Hofmann, Gordon D. Plotk...
The concatenable processes of a Petri net N can be characterized ly as the arrows of a symmetric monoidal category P[N]. Yet, this is only a partial axiomatization, since P[N] is b...