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README.md
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@ -4,27 +4,6 @@ Here I am formalizing some notions of this paper [https://arxiv.org/pdf/2102.118
The whole project consists of literate agda files, where I add my documentation as markdown.
A (mostly up to date) version can be found here: https://wwwcip.cs.fau.de/~hy84coky/bsc-thesis/
## Running the project
TODO
## Contributions to *agda-categories*
This project uses the awesome category theory library for agda ([agda-categories](https://github.com/agda/agda-categories)), it is already very extensive, but some notions needed here are missing, so I contribute them to the library.
So far the contributions are:
1. Kleisli triples [[merged](https://github.com/agda/agda-categories/pull/381)]
- `Categories.Monad.Construction.Kleisli`
2. Distributive categories (and the relation to extensivity) [[merged](https://github.com/agda/agda-categories/pull/383)]
- `Categories.Category.Distributive`
- `Categories.Category.Extensive.Bundle`
- `Categories.Category.Extensive.Properties.Distributive`
3. Parametrized (or stable) natural numbers objects [[merged](https://github.com/agda/agda-categories/pull/394)]
- `Categories.Object.NaturalNumbers.Parametrized`
- `Categories.Object.NaturalNumbers.Properties.F-Algebra`
- `Categories.Object.NaturalNumbers.Properties.Parametrized`
4. Commutative monad [TODO]
## TODO
TODOs are found inside the literate agda files!
## Usage
The project requires a new version of agda-categories (newer than some package managers ship), so the easiest way to use this project is via the provided nix flake, which fetches my fork of agda-categories that is guaranteed to work with this project.
@ -39,3 +18,20 @@ There is also a Makefile for compiling every module and generating the html docu
```
make
```
## Contributions to *agda-categories*
This project uses the awesome category theory library for agda ([agda-categories](https://github.com/agda/agda-categories)), it is already very extensive, but some notions needed here are missing, so I contribute them to the library.
So far the contributions are:
1. Kleisli triples [[merged](https://github.com/agda/agda-categories/pull/381)]
- `Categories.Monad.Construction.Kleisli`
2. Distributive categories (and the relation to extensivity) [[merged](https://github.com/agda/agda-categories/pull/383)]
- `Categories.Category.Distributive`
- `Categories.Category.Extensive.Bundle`
- `Categories.Category.Extensive.Properties.Distributive`
3. Parametrized (or stable) natural numbers objects [[merged](https://github.com/agda/agda-categories/pull/394)]
- `Categories.Object.NaturalNumbers.Parametrized`
- `Categories.Object.NaturalNumbers.Properties.F-Algebra`
- `Categories.Object.NaturalNumbers.Properties.Parametrized`
4. Commutative monad [[merged](https://github.com/agda/agda-categories/pull/404)]
- `Categories.Monad.Commutative`
- `Categories.Monad.Strong.Properties`