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Leon Vatthauer 481e1011e5
🔨 refactor folder structure, define ambient category and use throughout
2023-09-12 16:52:22 +02:00
src 🔨 refactor folder structure, define ambient category and use throughout 2023-09-12 16:52:22 +02:00
.gitignore Added iota to delay 2023-09-11 15:57:14 +02:00
bsc.agda-lib minor fixes 2023-08-19 12:37:03 +02:00
Makefile 🔨 refactor folder structure, define ambient category and use throughout 2023-09-12 16:52:22 +02:00
README.md Update README.md 2023-09-11 12:15:36 +00:00

README.md

BSc Leon Vatthauer

Here I am formalizing some notions of this paper https://arxiv.org/pdf/2102.11828.pdf in agda. 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), 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]
    • Categories.Monad.Construction.Kleisli
  2. Distributive categories (and the relation to extensivity) [merged]
    • Categories.Category.Distributive
    • Categories.Category.Extensive.Bundle
    • Categories.Category.Extensive.Properties.Distributive
  3. Parametrized (or stable) natural numbers objects [WIP]
    • Categories.Object.NaturalNumbers.Parametrized
    • Categories.Object.NaturalNumbers.Properties.F-Algebra
    • Categories.Object.NaturalNumbers.Properties.Parametrized
  4. Commutative categories [TODO]

TODO

TODOs are found inside the literate agda files!