Category theory and Homotopy type theory Andr´e Joyal Universit´e du Qu´ebec a ` Montr´eal (UQAM)

Source URL: logica.dmi.unisa.it

• Homotopy theory
• Algebraic topology
• Category theory
• Differential topology
• Homotopy type theory
• Type theory
• Fibration
• Homotopy
• Homotopical algebra
• Model category
• Homotopy fiber

Lawvere-Tierney Sheafification in Homotopy Type Theory Lawvere-Tierney Sheafification

Source URL: hott-uf.gforge.inria.fr

Homotopy Type Theory Univalent Foundations of Mathematics T HE U NIVALENT F OUNDATIONS P ROGRAM I NSTITUTE FOR A DVANCED S TUDY

Source URL: www.heidelberg-laureate-forum.org

Homotopy-theoretic aspects of ¨ type theory Martin-Lof Nicola Gambino University of Palermo visiting

Source URL: www.math.unipa.it

Towards a Directed HoTT with Four Kinds of Variance Andreas Nuyts, Jesper Cockx, Dominique Devriese and Frank Piessens May 15, 2015 Homotopy type theory (HoTT) offers a constructive way of working with ∞-groupoids. Whe

Source URL: hott-uf.gforge.inria.fr

Daniel R. Licata Personal Information: E-mail:

Source URL: dlicata.web.wesleyan.edu

• Type theory
• International Conference on Functional Programming
• Programming language theory
• Homotopy type theory
• Twelf
• Dependent type
• Logical framework
• Functional programming
• SIGPLAN
• Programming language
• Symposium on Principles of Programming Languages
• Agda

W-TYPES IN HOMOTOPY TYPE THEORY BENNO VAN DEN BERG1 AND IEKE MOERDIJK2 Abstract. We will give a detailed account of why the simplicial sets model of the univalence axiom due to Voevodsky also models W-types. In addition,

Source URL: staff.fnwi.uva.nl

Homotopy Theoretic Aspects of Constructive Type Theory Michael Alton Warren August 2008 Carnegie Mellon University

Source URL: mawarren.net

Introduction Homotopy Type Theory The idea of HITs The fundamental group of the circle Computing transportations

Source URL: www.cs.ru.nl

Michael Shulman University of San Diego Homotopy type theory: towards Grothendieck’s dream Several decades ago, Grothendieck proposed that “∞-groupoids” could replace topological spaces as a context for homotopy

Source URL: web.science.mq.edu.au