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Univalent Foundations Program 作者

译者

2014-6-3 出版日期

609 页数

0 价格

Paperback

丛书系列

9787704251709 图书编码

Homotopy Type Theory 在线电子书图书标签: 数学 Math 计算机同伦类型论范畴论 pl TypeTheory Mathematics

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Homotopy Type Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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Homotopy Type Theory 在线电子书图书描述

Homotopy type theory is a new branch of mathematics that combines aspects of several different fields in a surprising way. It is based on a recently discovered connection between homotopy theory and type theory. It touches on topics as seemingly distant as the homotopy groups of spheres, the algorithms for type checking, and the definition of weak ∞-groupoids. Homotopy type theory offers a new “univalent” foundation of mathematics, in which a central role is played by Voevodsky’s univalence axiom and higher inductive types. The present book is intended as a first systematic exposition of the basics of univalent foundations, and a collection of examples of this new style of reasoning — but without requiring the reader to know or learn any formal logic, or to use any computer proof assistant. We believe that univalent foundations will eventually become a viable alternative to set theory as the “implicit foundation” for the unformalized mathematics done by most mathematicians.

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