马丁·霍夫曼对类型理论的贡献:类群和一元性

IF 0.4 4区计算机科学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Mathematical Structures in Computer Science Pub Date : 2021-06-28 DOI:10.1017/S0960129520000316

Thorsten Altenkirch

引用次数: 1

摘要

摘要我的目标是简单介绍Martin关于群像模型的工作，以及它如何与最近在同调类型理论中的单价概念相联系，同时分享对Martin的一些记忆。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Martin Hofmann’s contributions to type theory: Groupoids and univalence

Abstract My goal is to give an accessible introduction to Martin’s work on the groupoid model and how it is related to the recent notion of univalence in Homotopy Type Theory while sharing some memories of Martin.

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来源期刊

Mathematical Structures in Computer Science 工程技术-计算机：理论方法

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： Mathematical Structures in Computer Science is a journal of theoretical computer science which focuses on the application of ideas from the structural side of mathematics and mathematical logic to computer science. The journal aims to bridge the gap between theoretical contributions and software design, publishing original papers of a high standard and broad surveys with original perspectives in all areas of computing, provided that ideas or results from logic, algebra, geometry, category theory or other areas of logic and mathematics form a basis for the work. The journal welcomes applications to computing based on the use of specific mathematical structures (e.g. topological and order-theoretic structures) as well as on proof-theoretic notions or results.