论文标题
描述性组合和分布式算法
Descriptive combinatorics and distributed algorithms
论文作者
论文摘要
这是一篇文章的草稿，将出现在2022年10月的AMS通知中。在这篇调查文章中，我们探讨了一个名为“描述性组合主义者”的迷人领域及其最近发现的与分布式算法的联系 - 计算机科学的基本组成部分，在分散计算的现代时代，计算机科学变得越来越重要。在本文的第一部分中，我们简要介绍了一些中心概念和描述性组合学的问题。第二部分是概述有关描述性组合和分布式算法之间相互作用的一些结果，以及一些开放问题。在描述性集理论或计算机科学中，几乎没有背景的读者应该可以访问这篇文章。
This is a draft of an article to appear in the October 2022 issue of the Notices of the AMS. In this survey article we explore a fascinating area called descriptive combinatorics and its recently discovered connections to distributed algorithms -- a fundamental part of computer science that is becoming increasingly important in the modern era of decentralized computation. In the first part of the article we give a brief introduction to some of the central notions and problems of descriptive combinatorics. The second part is devoted to an overview of some of the results concerning the interactions between descriptive combinatorics and distributed algorithms, as well as a few open problems. The article should be accessible to readers with little to no background in either descriptive set theory or computer science.
