{"id":41936443,"url":"https://github.com/lemastero/agda-hott","last_synced_at":"2026-01-25T18:13:18.055Z","repository":{"id":165343158,"uuid":"640681129","full_name":"lemastero/agda-hott","owner":"lemastero","description":"Notes on Homotopy Type Theory in 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unexpected eof while reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":[],"created_at":"2026-01-25T18:13:17.424Z","updated_at":"2026-01-25T18:13:18.050Z","avatar_url":"https://github.com/lemastero.png","language":"Agda","funding_links":[],"categories":[],"sub_categories":[],"readme":"[![Scala CI](https://github.com/lemastero/agda-hott/actions/workflows/agda.yml/badge.svg?branch=main)](https://github.com/lemastero/agda-hott/actions/workflows/agda.yml?query=branch%3Amain)\n\n# Agda HoTT\n\nNotes in Agda about\n* [Homotopy Type Theory](https://homotopytypetheory.org/book/) (based on\n  * [Introduction to Univalent Foundations of Mathematics with Agda](https://www.cs.bham.ac.uk/~mhe/HoTT-UF-in-Agda-Lecture-Notes/) by Martín Hötzel Escardó, ([arxiv 1911.00580](https://arxiv.org/abs/1911.00580)),\n  * [Introduction to Homotopy Type Theory](https://arxiv.org/abs/2212.11082) by Egbert Rijke,\n  * [HoTTEST Summer School 2022](https://www.uwo.ca/math/faculty/kapulkin/seminars/hottest_summer_school_2022.html) ([Agda](https://martinescardo.github.io/HoTTEST-Summer-School/)), ([lectures \u0026 exercises](https://github.com/martinescardo/HoTTEST-Summer-School/tree/main/HoTT)), ([videos](https://www.youtube.com/user/jdchristensen123)), ([GH](https://github.com/martinescardo/HoTTEST-Summer-School)),\n  * [Homotopy type theory](https://github.com/andrejbauer/homotopy-type-theory-course) by Andrej Bauer ([videos](https://www.youtube.com/watch?v=FBjz8mFXH7M\u0026list=PL-47DDuiZOMCRDiXDZ1fI0TFLQgQqOdDa)),\n  * [Math 721: Homotopy Type Theory](https://github.com/emilyriehl/721) by Emily Riehl\n* [Category Theory](https://ncatlab.org/nlab/show/category+theory) (based on\n  * CS410 Advanced Functional Programming at the University of Strathclyde by Conor McBride ([videos](https://www.youtube.com/playlist?list=PLqggUNm8QSqmeTg5n37oxBif-PInUfTJ2)), ([GH repo with code](https://github.com/pigworker/CS410-17)), ([lecture notes](https://github.com/pigworker/CS410-15/blob/master/CS410-notes.pdf)), ([GH 2018](https://github.com/pigworker/CS410-18)),\n  * [agda-categories](https://github.com/agda/agda-categories))\n* Functional Programming (abstractions from category theory used in Haskell, Scala, PureScript, Idris)\n\nAbstractions in FP can be seen as continuation of [scala_typeclassopedia](https://github.com/lemastero/scala_typeclassopedia) - this time in Agda :)\n\n[src/FP/zio-prelude](src/FP/zio-prelude) aims at formally verifying encoding from Scala library [zio-prelude](https://zio.dev/zio-prelude/) (that improve usual encoding of FP abstractions e.g. by adding Zivariant, introducing novel definitions like ZRerf that is a generalization of optics).\n\nCategory theory definitions are strict - use equality (agda-categories are parametrized by equivalence relation).\n\n## Getting Agda\n\n[Official install instructions](https://agda.readthedocs.io/en/latest/getting-started/installation.html)\n\n### for Nix\n\nIf you are nix user you can get shell with recent Agda by running:\n\n```sh\nnix develop\n```\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Flemastero%2Fagda-hott","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Flemastero%2Fagda-hott","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Flemastero%2Fagda-hott/lists"}