arXiv:2210.08232cs.PL
A tutorial on implementing De Morgan cubical type theory
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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.
It should be possible to embed cubical type theory in Idris.[1][2] 1: https://arxiv.org/abs/2210.08232 2: https://chat.openai.com/share/aadb7a0a-08a4-4951-b877-cb2f61...
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