https://github.com/langston-barrett/reed-thesis
My undergradate thesis on coinductive types in univalent type theory
https://github.com/langston-barrett/reed-thesis
category-theory mathematics thesis type-theory unimath univalence univalent-foundations
Last synced: 2 months ago
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My undergradate thesis on coinductive types in univalent type theory
- Host: GitHub
- URL: https://github.com/langston-barrett/reed-thesis
- Owner: langston-barrett
- License: mpl-2.0
- Created: 2017-09-21T19:07:41.000Z (almost 8 years ago)
- Default Branch: master
- Last Pushed: 2018-05-10T20:23:41.000Z (about 7 years ago)
- Last Synced: 2025-03-30T06:13:41.027Z (3 months ago)
- Topics: category-theory, mathematics, thesis, type-theory, unimath, univalence, univalent-foundations
- Language: TeX
- Homepage:
- Size: 1.27 MB
- Stars: 17
- Watchers: 4
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
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README
# Undergraduate Thesis
This repo holds my undergraduate thesis (completed in May 2018), which focused
on adding "internal" M-types to the
[UniMath](https://github.com/UniMath/UniMath) library. See this paper for details:
["Non-wellfounded Trees in Homotopy Type Theory"](https://arxiv.org/abs/1504.02949).
## Directory Structure
- `archive/` contains things I thought I would need, but didn't.
- `coq/` contains formalized mathematics
* `coq/Exercises` contains solutions to exercises in the HoTT book.
- `exercises/` contains informal solutions to exercises in various texts
* `exercises/hott*`: From the HoTT book (scanned from handwritten versions)
* `exercises/hatcher*`: From Hatcher's Algebraic Topology
* `exercises/awodey*`: From Awodey's Category Theory
- `notes/` contains LaTeX notes on various subjects at the level of detail I required at the time (no attempt to be comprehensive nor expository has been made).
* `notes/hott-figures` is a bunch of Tikz drawings corresponding to lemmas and theorems in the HoTT book
- `tex-preamble/` is a collection of LaTeX files that are useful to `\input{}` at the beginning of documents.
## Work elsewhere
For work I've done related to my thesis that isn't hosted here, see my work on:
* [siddharthist/write-yourself-a-scheme-in-agda](https://github.com/siddharthist/write-yourself-a-scheme-in-agda)
* [HoTT/HoTT](https://github.com/HoTT/HoTT/pulls?utf8=%E2%9C%93&q=is%3Apr%20author%3Asiddharthist%20)
* [UniMath/UniMath](https://github.com/UniMath/UniMath/pulls?utf8=%E2%9C%93&q=is%3Apr%20author%3Asiddharthist%20)
* [HoTT/book](https://github.com/HoTT/book/pulls?utf8=%E2%9C%93&q=is%3Apr%20author%3Asiddharthist%20)