{"title":"限时随机存取机","authors":"S. Cook, R. Reckhow","doi":"10.1145/800152.804898","DOIUrl":null,"url":null,"abstract":"In this paper we introduce a formal model for random access computers and argue that the model is a good one to use in the theory of computational complexity. Results are proved which compare run times for recognizing sets using this model (which has a fixed program) with a stored program model and with Turing machines. The main result, theorem 3, shows the existence of a time complexity hierarchy which is finer than that of any standard abstract computer model. An Algol-like programming language is introduced which facilitates proofs of the theorems.","PeriodicalId":229726,"journal":{"name":"Proceedings of the fourth annual ACM symposium on Theory of computing","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1972-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"270","resultStr":"{\"title\":\"Time-bounded random access machines\",\"authors\":\"S. Cook, R. Reckhow\",\"doi\":\"10.1145/800152.804898\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we introduce a formal model for random access computers and argue that the model is a good one to use in the theory of computational complexity. Results are proved which compare run times for recognizing sets using this model (which has a fixed program) with a stored program model and with Turing machines. The main result, theorem 3, shows the existence of a time complexity hierarchy which is finer than that of any standard abstract computer model. An Algol-like programming language is introduced which facilitates proofs of the theorems.\",\"PeriodicalId\":229726,\"journal\":{\"name\":\"Proceedings of the fourth annual ACM symposium on Theory of computing\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1972-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"270\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the fourth annual ACM symposium on Theory of computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/800152.804898\",\"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/10.1145/800152.804898","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we introduce a formal model for random access computers and argue that the model is a good one to use in the theory of computational complexity. Results are proved which compare run times for recognizing sets using this model (which has a fixed program) with a stored program model and with Turing machines. The main result, theorem 3, shows the existence of a time complexity hierarchy which is finer than that of any standard abstract computer model. An Algol-like programming language is introduced which facilitates proofs of the theorems.
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