结着色作为验证

2020 22nd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC) Pub Date : 2020-09-01 DOI:10.1109/SYNASC51798.2020.00016

Robert W. McGrail, Thuy Trang Nguyen, Mary Sharac Granda

{"title":"结着色作为验证","authors":"Robert W. McGrail, Thuy Trang Nguyen, Mary Sharac Granda","doi":"10.1109/SYNASC51798.2020.00016","DOIUrl":null,"url":null,"abstract":"This work presents the CMK knot coloring software system. CMK is a command-line tool written in SWI-Prolog that computes colorings of three-dimensional knots by finite quandles. The original purpose was to classify knots by certain computational properties. CMK features a predicate that computes knot quandle presentations from braid words. The authors describe the key algorithms. Errors in five braid representations within the Mathematica™ KnotData collection are revealed through CMK.","PeriodicalId":278104,"journal":{"name":"2020 22nd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Knot Coloring as Verification\",\"authors\":\"Robert W. McGrail, Thuy Trang Nguyen, Mary Sharac Granda\",\"doi\":\"10.1109/SYNASC51798.2020.00016\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This work presents the CMK knot coloring software system. CMK is a command-line tool written in SWI-Prolog that computes colorings of three-dimensional knots by finite quandles. The original purpose was to classify knots by certain computational properties. CMK features a predicate that computes knot quandle presentations from braid words. The authors describe the key algorithms. Errors in five braid representations within the Mathematica™ KnotData collection are revealed through CMK.\",\"PeriodicalId\":278104,\"journal\":{\"name\":\"2020 22nd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 22nd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SYNASC51798.2020.00016\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 22nd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SYNASC51798.2020.00016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

摘要

本文介绍了CMK结着色软件系统。CMK是一个用SWI-Prolog编写的命令行工具，它通过有限的纠缠计算三维结的着色。最初的目的是根据某些计算性质对结进行分类。CMK的特征是一个谓词，可以从编织词中计算结纠缠表示。作者描述了关键算法。通过CMK揭示了Mathematica™KnotData集合中的五个辫子表示中的错误。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Knot Coloring as Verification

This work presents the CMK knot coloring software system. CMK is a command-line tool written in SWI-Prolog that computes colorings of three-dimensional knots by finite quandles. The original purpose was to classify knots by certain computational properties. CMK features a predicate that computes knot quandle presentations from braid words. The authors describe the key algorithms. Errors in five braid representations within the Mathematica™ KnotData collection are revealed through CMK.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2020 22nd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)

自引率

0.00%

发文量