A hands|on introduction to cubicaltt
A hands-on introduction to cubicaltt - Homotopy Type Theory
Cubical Type Theory has a model in cubical sets with lots of structure (symmetries, connections, diagonals) and is hence consistent. Furthermore ...
A hands-on introduction to cubicaltt: "Cubical Type Theory ... makes ...
A hands-on introduction to cubicaltt: "Cubical Type Theory ... makes various extensionality principles, like function extensionality and Voevodsky's univalence ...
mortberg | Homotopy Type Theory
A hands-on introduction to cubicaltt. Some months ago I gave a series of hands-on lectures on cubicaltt at Inria Sophia Antipolis that can be ...
cubicaltt/lectures/lecture1.ctt at master - GitHub
... introduction is a multiline comment. After this long introduction it is finally time for some cubicaltt code! -} -- In cubicaltt all files must start with ...
Introduction to Cubical Type Theory (Part I) - YouTube
CSCI 8980 Higher-Dimensional Type Theory https://favonia.org/courses/hdtt2020/
... Cubical Type Theory). A hands-on introduction to cubicaltt - series of lectures on cubicaltt given at Inria Sophia Antipolis (May-June 2017) and in the HoTT ...
Glue types in cubical type theory - Mathematics Stack Exchange
Example from A hands-on introduction to cubicaltt: ua (A B : U) (e ... For instance, cubical Agda accepts the following definition (I'm ...
Introduction. Goal: provide a computational justification for notions ... cubicaltt. July 13, 2016. 5 / 20. Page 6. Normal form of ...
A hands-on introduction to cubicaltt · https://homotopytypetheory.org/2017/09/16/a-hands-on-introduction-to-cubicaltt/ · r/a:t5_32ht4 - A hands-on ...
Cubical Type Theory: a constructive interpretation of the univalence ...
Note, that judgmental equality for I will be re-defined once we introduce restricted contexts in Section 4. 3.1 Syntax and inference rules. The extension to the ...
Stream: maths - Zulip Chat Archive
... a-hands-on-introduction-to-cubicaltt/. cubicaltt is based on a novel type theory called Cubical Type Theory that provides new ways to reason ...
A tutorial on implementing De Morgan cubical type theory - arXiv
It contains an introduction to basic concepts of cubes, type checking algorithms under a cofibration, the idea of "transportation rules" and ...
Introduction to Cubical Type Theory (Part II) (revised on 4/6) - YouTube
CSCI 8980 Higher-Dimensional Type Theory https://favonia.org/courses/hdtt2020/ This revised version fixed a mistake about the empty type ...
Excursions in Cubical Type Theory - Siva Somayyajula
A hands-on introduction to cubicaltt, Sep 2017. [5] Univalent Foundations Program, T. Homotopy Type Theory: Univalent Foundations of ...
a cubical type theory - Google Groups
>> closed term of type Nat reduces to a numeral. ... >> cubicaltt (after it is formalized in cubicaltt). ... >> M. >.
Cubical type theory is a flavor of dependent type theory in which maps out of an interval primitive is used to define cubical path types.
Cubical Type Theory - amelia.how
For that sort of proof, we need to introduce a transport operation, which, given the left endpoint of a path of types, returns the right ...
Cubical methods in homotopy type theory and univalent foundations
The goal of these lectures was to give an introduction to cubical ... cubicaltt. Available at https://github.com/simhu/cubical/.Google ...
Cubical Type Theory: a constructive interpretation of the univalence ...
Note, that judgmental equality for I will be re-defined once we introduce restricted contexts in Section 4. 3.1 Syntax and inference rules. The extension to the ...
Cubical Type Theory: a constructive interpretation of the univalence ...
This paper presents a type theory in which it is possible to directly manipulate n-dimensional cubes (points, lines, squares, cubes, etc.)