Computational Semantics of Cartesian Cubical Type Theory
A hands-on introduction to cubicaltt - Homotopy Type Theory
Furthermore, Simon Huber has proved that Cubical Type Theory satisfies canonicity for natural numbers which gives a syntactic proof of ...
A PROTOTYPE IMPLEMENTATION OF CUBICAL TYPE THEORY ...
tax and models of cartesian cubical type theory. Mathematical. Structures in ... Semantics and Logics of Computation, pages 79–130. Cambridge. University ...
"Theory of types" redirects here. For an architectural term, see Form (architecture) § Theories. In mathematics and theoretical computer science, a type theory ...
Homotopy Type Theory Electronic Seminar | The n-Category Café
March 15 Carlo Angiuli (Carnegie Mellon University) Computational semantics of Cartesian cubical type theory. We are looking forward to ...
Cubical — Agda 2.8.0 documentation
In particular, it adds computational univalence and higher inductive types, hence giving computational meaning to Homotopy Type Theory and Univalent Foundations ...
Multimodal Dependent Type Theory - Lirias
Computational Semantics of Cartesian Cubical. Type Theory. Ph.D. Dissertation. Carnegie Mellon University. [7] Carlo Angiuli, Kuen-Bang Hou (Favonia), and ...
Carlo Angiuli, Computational semantics of Cartesian cubical type ...
Carlo Angiuli, Computational semantics of Cartesian cubical type theory. BoBoGalois. 相关推荐. 查看更多. Favonia- Cartesian cubical type theory.
Cubical Syntax for Reflection-Free Extensional Equality - DROPS
Carlo Angiuli, Kuen-Bang Hou (Favonia), and Robert Harper. Cartesian Cubical Computational Type Theory: Constructive Reasoning with Paths and ...
What kind of category is generated by Cubical type theory?
Cubical type theory doesn't quite fit into this sequence of type theories but it is surprisingly good at modelling HoTT. It is a strange kind of ...
Semantics of homotopy type theory - UB
Furthermore, there exists variants to HoTT (like Cubical Type. Theory) which provide better computational properties by replacing the univalence.
Unifying cubical and multimodal type theory - Daniel Gratzer
In this paper we combine the principled approach to modalities from multi- modal type theory (MTT) with the computationally well-behaved realization of identity.
Univalence from a Computer Science Point-of-View
cartesian cube category, homogenization, diagonal cofibs. [Angiuli,Favonia ... effects in computational cubical type theory? [Angiuli,Cavallo,Favonia ...
Multimodal Dependent Type Theory
Computational Semantics of Cartesian Cubical. Type Theory. Ph.D. Dissertation. Carnegie Mellon University. [7] Carlo Angiuli, Kuen-Bang Hou ...
Cubical Agda: A Dependently Typed Programming Language with ...
Cubical type theory provides a solution by giving computational meaning to Homotopy. Type Theory and Univalent Foundations, in particular to the univalence ...
Controlling unfolding in type theory - Department of Computer Science
cooltt proof assistant [29]; cooltt is an implementation of cartesian cubical type theory [2], a computational version of homotopy type theory whose syntactic.
Syntax and models of Cartesian cubical type theory - EBSCOhost
Unlike type theories that express univalence and higher inductive types as axioms, cubical type theories satisfy the canonicity property stating that closed ...
Normalization for Cubical Type Theory - Padova - Math-Unipd
We prove normalization for (univalent, Cartesian) cubical type theory, closing the last major open problem in the syntactic metatheory of ...
A Constructive Model of Directed Univalence in Bicubical Sets
First, building on the cubical tech- niques used to give computational models of homotopy type theory, we show that there is a universe of ...
Game semantics for dependent types - ScienceDirect.com
Game semantics provides a unified framework for intensional, computational semantics of various type theories, ... model of type theory in cubical sets. In ...
Cubical Synthetic Homotopy Theory - HAL
Cartesian Cubical Computational Type Theory: Constructive Reason- ing with Paths and Equalities. In 27th EACSL Annual Conference on. Computer ...