{"title":"Real-Time Computation and Recursive Functions Not Real-Time Computable","authors":"H. Yamada","doi":"10.1109/TEC.1962.5219459","DOIUrl":null,"url":null,"abstract":"As an attempt to investigate a general theory of real-time computability in digital computers, a subclass of Turing machines is formally introduced together with some classes of functions that are computable by them in real time. Then the existence is established of a class of recursive functions that are not computable in real time by use of a class of machines, no matter how general we make the machines subject to a given constraint.","PeriodicalId":177496,"journal":{"name":"IRE Trans. Electron. Comput.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1962-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"91","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IRE Trans. Electron. Comput.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TEC.1962.5219459","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 91
Abstract
As an attempt to investigate a general theory of real-time computability in digital computers, a subclass of Turing machines is formally introduced together with some classes of functions that are computable by them in real time. Then the existence is established of a class of recursive functions that are not computable in real time by use of a class of machines, no matter how general we make the machines subject to a given constraint.
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