https://github.com/martinescardo/HoTT-UF-Agda-Lecture-Notes

Lecture notes on univalent foundations of mathematics with Agda
https://github.com/martinescardo/HoTT-UF-Agda-Lecture-Notes

agda dependent-types function-extensionality homotopy-type-theory hott-uf lecture-notes martin-lof-type-theory mltt propositional-truncation type-theory univalence-axiom univalent-foundations univalent-mathematics univalent-type-theory

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Lecture notes on univalent foundations of mathematics with Agda

• Host: GitHub
• URL: https://github.com/martinescardo/HoTT-UF-Agda-Lecture-Notes
• Owner: martinescardo
• License: gpl-3.0
• Created: 2019-03-20T09:48:19.000Z (over 5 years ago)
• Default Branch: master
• Last Pushed: 2024-04-16T12:57:29.000Z (7 months ago)
• Last Synced: 2024-08-03T15:05:06.948Z (3 months ago)
• Topics: agda, dependent-types, function-extensionality, homotopy-type-theory, hott-uf, lecture-notes, martin-lof-type-theory, mltt, propositional-truncation, type-theory, univalence-axiom, univalent-foundations, univalent-mathematics, univalent-type-theory
• Language: Agda
• Homepage:
• Size: 5.8 MB
• Stars: 216
• Watchers: 16
• Forks: 18
• Open Issues: 1
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Introduction to univalent foundations of mathematics with Agda

There is a modular version of the Agda files here at https://github.com/martinescardo/TypeTopology in the folder

`source/MGS/`.

Sources to generate the lecture notes available at

   > https://www.cs.bham.ac.uk/~mhe/HoTT-UF-in-Agda-Lecture-Notes/HoTT-UF-Agda.html

   > https://arxiv.org/abs/1911.00580

Agda [2.6.2.1](https://agda.readthedocs.io/en/v2.6.2.1/getting-started/installation.html) or higher is required. Consult the [installation instructions](INSTALL.md) to help you set up Agda and Emacs for the Midlands Graduate School.

* The (literate) `*.lagda` files are used to generate the `html` pages with the script `./build`.

* This make also generates `./agda/*.agda` files using  `illiterator.hs`.

* The program `agdatomd.hs` converts from `.lagda` to `.md` for use by the script `fastloop`.

* This script is used for editing the notes in conjunction with `jekyll serve -watch --incremental` so that after an update it is only necessary to reload the page on the browser to view it.

* The script `slowloop` serves the same purpose, but calls Agda instead of `agdatomd`, via the script `generatehtml`, so that we get syntax highlighting in the html pages. This can be very slow depending on which `lagda` file is changed. This means that after the first is reload, one is likely to see the Agda code without syntax highlighting.

* It is possible to run `./slowloop`, `./fastloop` and `jekyll serve` in parallel, and we do this for editing these notes.

* The loop scripts use `inotifywait` to detect `lagda` file changes and trigger the appropriate conversion actions.

* The `install` action of the `makefile` allows to run an additional action for particular requirements of users or environments, in a file `additionally`, which is not distributed and is ignored by `git`. If this file doesn't exist, an empty executable file is created.