data-category: Category theory
Data-category is a collection of categories, and some categorical constructions on them.
You can restrict the types of the objects of your category by using a GADT for the arrow type. To be able to proof to the compiler that a type is an object in some category, objects also need to be represented at the value level. The corresponding identity arrow of the object is used for that.
See the Boolean and Product categories for some examples.
Note: Strictly speaking this package defines Hask-enriched categories, not ordinary categories (which are Set-enriched.)
In practice this means we are allowed to ignore undefined (f.e. when talking about uniqueness of morphisms),
and we can treat the categories as normal categories.
Modules
[Index] [Quick Jump]
- Data
- Data.Category
- Data.Category.Adjunction
- Data.Category.Boolean
- Data.Category.CartesianClosed
- Data.Category.Comma
- Data.Category.Coproduct
- Data.Category.Cube
- Data.Category.Dialg
- Data.Category.Enriched
- Data.Category.Fin
- Data.Category.Fix
- Data.Category.Functor
- Data.Category.KanExtension
- Data.Category.Kleisli
- Data.Category.Limit
- Data.Category.Monoidal
- Data.Category.NNO
- Data.Category.NaturalTransformation
- Data.Category.Preorder
- Data.Category.Product
- Data.Category.RepresentableFunctor
- Data.Category.Simplex
- Data.Category.Unit
- Data.Category.Void
- Data.Category.WeightedLimit
- Data.Category.Yoneda
- Data.Category
Downloads
- data-category-0.11.tar.gz [browse] (Cabal source package)
- Package description (as included in the package)
Maintainer's Corner
For package maintainers and hackage trustees
Candidates
| Versions [RSS] | 0.0.1, 0.0.2, 0.0.3, 0.0.3.1, 0.1.0, 0.2.0, 0.3.0, 0.3.0.1, 0.3.0.2, 0.3.1, 0.3.1.1, 0.4, 0.4.1, 0.5.0, 0.5.1, 0.5.1.0, 0.5.1.1, 0.6.0, 0.6.1, 0.6.2, 0.7, 0.7.1, 0.7.2, 0.8, 0.8.1, 0.8.2, 0.9, 0.10, 0.11 |
|---|---|
| Dependencies | base (>=4.15 && <5), ghc-prim [details] |
| License | BSD-3-Clause |
| Author | Sjoerd Visscher |
| Maintainer | sjoerd@w3future.com |
| Category | Math |
| Home page | http://github.com/sjoerdvisscher/data-category |
| Bug tracker | http://github.com/sjoerdvisscher/data-category/issues |
| Source repo | head: git clone git://github.com/sjoerdvisscher/data-category.git |
| Uploaded | by SjoerdVisscher at 2023-03-27T12:05:58Z |
| Distributions | NixOS:0.11 |
| Reverse Dependencies | 1 direct, 0 indirect [details] |
| Downloads | 20409 total (43 in the last 30 days) |
| Rating | 2.25 (votes: 2) [estimated by Bayesian average] |
| Your Rating | |
| Status | Docs available [build log] Last success reported on 2023-03-27 [all 1 reports] |