A tutorial on implementing De Morgan cubical type theory
A tutorial on implementing De Morgan cubical type theory - arXiv
This tutorial explains (one way) how to implement De Morgan cubical type theory to people who know how to implement a dependent type theory.
(PDF) A tutorial on implementing De Morgan cubical type theory
Abstract. This tutorial explains (one way) how to implement De Morgan cubical type theory to people who know how to implement a dependent type ...
arXiv:2210.08232v4 [cs.PL] 6 Jun 2023 - Typeset.io
A TUTORIAL ON IMPLEMENTING DE MORGAN CUBICAL TYPE THEORY. 3. Which of these is an introduction rule, and which is an elimination rule? Exercise 1.4. Consider ...
Tesla Zhang's articles on arXiv
A tutorial on implementing De Morgan cubical type theory. Authors: Tesla Zhang. Comments: 27 pages. Subjects: Programming Languages (cs.PL). [5] arXiv ...
Implementation of cubical type theory as described in this paper?
They are a central piece in the paper. I started an nbe implementation that may help on the way. It handles intervals with de bruijn indices to ...
Notes · (Co)conditions hit the path · Two tricks to trivialize higher-indexed families · A tutorial on implementing De Morgan cubical type theory ...
A tutorial on implementing De Morgan cubical type theory - 专知论文
This tutorial explains (one way) how to implement De Morgan cubical type theory to people who know how to implement a dependent type theory.
A tutorial on implementing De Morgan cubical type theory. This tutorial explains (one way) how to implement De Morgan cubical type... ; Type theories in category ...
[PDF] Naive cubical type theory - Semantic Scholar
3 Citations · Internal Parametricity for Cubical Type Theory · Syntax and models of Cartesian cubical type theory · A tutorial on implementing De Morgan cubical ...
实施De Morgan 隔间理论教学(A tutorial on implementing De Morgan ...
This tutorial explains (one way) how to implement De Morgan cubical type theory to people who know how to implement a dependent type theory.
Tutorial implementations of extensional type theories
... implementing dependent type theories as very spartan proof assistants. ... How to implement the type checking of `transp` in de Morgan cubical ...
Carolyn Dever | 1 Publications | Related Authors - Typeset.io
TL;DR: In this article , the authors present a tutorial for implementing De Morgan cubical type theory to people who know how to implement a dependent type ...
Cubical Type Theory - amelia.how
In fact, I have a mostly-complete implementation of cubical type theory for us to use as a discussion framework. ... Hence, De Morgan algebra, not ...
Syntax and Models of Cartesian Cubical Type Theory
... implementation of the De Morgan model with regularity (Coquand, 2014a). Here, we adopt this decomposition only in certain types, such as higher inductive types.
Naive cubical type theory | Request PDF - ResearchGate
References (18) ; A tutorial on implementing De Morgan cubical type theory. Preprint · Oct 2022 ; Syntax and models of Cartesian cubical type theory. Article · Apr ...
Cubical — Agda 2.8.0 documentation
The key idea of Cubical Type Theory is to add an interval type I : IUniv (the reason this is in a special sort · Elements of the interval form a De Morgan ...
Type Theory: understand Martin‑Löf type theory, coinduction, HoTT, and ... Zhang, “A tutorial on implementing De Morgan cubical type theory”. [Online] ...
Syntax and models of Cartesian cubical type theory | Cambridge Core
An advantage of this formal approach is that our construction can also be interpreted in a range of other models, including cubical sets on the ...
The first cubical type theory, due to Cohen-Coquand-Huber-Moertberg 17, used an even richer cube category, the free De Morgan algebra generated ...
Maths - Cubical Type Theory - Martin Baker - EuclideanSpace
When using cubical type theory we can specify variables in ... De Morgan algebra is a generalisation of boolean algebra without rule of excluded middle.