{"title":"Knot automata","authors":"L. Kauffman","doi":"10.1109/ISMVL.1994.302182","DOIUrl":null,"url":null,"abstract":"This paper studies a mathematical model for automata as direct abstractions of digital circuitry. We give a rigorous model for distributed delays in terms of a precedence order of operations. The model is applied to automata that arise in the study of topological invariants of knots in three dimensional space and to digital design.<<ETX>>","PeriodicalId":137138,"journal":{"name":"Proceedings of 24th International Symposium on Multiple-Valued Logic (ISMVL'94)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 24th International Symposium on Multiple-Valued Logic (ISMVL'94)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1994.302182","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 15

Abstract

This paper studies a mathematical model for automata as direct abstractions of digital circuitry. We give a rigorous model for distributed delays in terms of a precedence order of operations. The model is applied to automata that arise in the study of topological invariants of knots in three dimensional space and to digital design.<>
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结自动机
本文研究了作为数字电路直接抽象的自动机的数学模型。我们根据操作的优先顺序给出了一个严格的分布式延迟模型。该模型适用于三维空间中结点拓扑不变量研究中出现的自动机和数字设计。
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