Traced monoidal category
In category theory, a traced monoidal category is a category with some extra structure which gives a reasonable notion of feedback.
A traced symmetric monoidal category is a symmetric monoidal category C together with a family of functions
called a trace, satisfying the following conditions:
- naturality in : for every and,
- naturality in : for every and,
- dinaturality in : for every and
- vanishing I: for every,,
- vanishing II: for every
- superposing: for every and,
- yanking:
.
Properties
