{"title":"不确定时间复杂度的层次结构","authors":"S. Cook","doi":"10.1145/800152.804913","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to prove the following result: Theorem 1 For any real numbers r1, r2, 1 ≤ r1 < r2, there is a set A of strings which has nondeterministic time complexity nr2 but not nondeterministic time complexity nr1 The computing devices are non-deterministic multitape Turing machines.","PeriodicalId":229726,"journal":{"name":"Proceedings of the fourth annual ACM symposium on Theory of computing","volume":"55 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1972-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"183","resultStr":"{\"title\":\"A hierarchy for nondeterministic time complexity\",\"authors\":\"S. Cook\",\"doi\":\"10.1145/800152.804913\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this paper is to prove the following result: Theorem 1 For any real numbers r1, r2, 1 ≤ r1 < r2, there is a set A of strings which has nondeterministic time complexity nr2 but not nondeterministic time complexity nr1 The computing devices are non-deterministic multitape Turing machines.\",\"PeriodicalId\":229726,\"journal\":{\"name\":\"Proceedings of the fourth annual ACM symposium on Theory of computing\",\"volume\":\"55 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1972-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"183\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the fourth annual ACM symposium on Theory of computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/800152.804913\",\"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 the fourth annual ACM symposium on Theory of computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/800152.804913","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The purpose of this paper is to prove the following result: Theorem 1 For any real numbers r1, r2, 1 ≤ r1 < r2, there is a set A of strings which has nondeterministic time complexity nr2 but not nondeterministic time complexity nr1 The computing devices are non-deterministic multitape Turing machines.
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