{"title":"结自动机","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":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":"{\"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\":\"17 1\",\"pages\":\"0\"},\"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}","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}
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.<>