2022•arXiv (Cornell University)Open access

A tutorial on implementing De Morgan cubical type theory

Tesla Zhang

Abstract

This tutorial explains (one way) how to implement De Morgan cubical type theory to people who know how to implement a dependent type theory. It contains an introduction to basic concepts of cubes, type checking algorithms under a cofibration, the idea of "transportation rules" and cubical operations. This tutorial is a by-product of an experimental implementation of cubical type theory, called Guest0x0.

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Key concepts: Type theory, Type (biology), Computer science, Product (mathematics), Product type, Calculus (dental), Programming language, Algebra over a field