{"title":"An exponential lower bound for real-time branching programs","authors":"Stanislav ák","doi":"10.1016/S0019-9958(86)80018-3","DOIUrl":null,"url":null,"abstract":"<div><p>Branching programs are a general model of sequential computation. One of their computational features is their possibility to question (repeatedly) the information from each input bit. Real-time branching programs make at most <em>n</em> questions when computing on an input of length <em>n</em>. The restriction “real-time” allows to find a simple language which requires the lower bound 2<sup>√2<em>n</em>/8</sup> on memory (= the state space).</p></div>","PeriodicalId":38164,"journal":{"name":"信息与控制","volume":"71 1","pages":"Pages 87-94"},"PeriodicalIF":0.0000,"publicationDate":"1986-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0019-9958(86)80018-3","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"信息与控制","FirstCategoryId":"1093","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0019995886800183","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 8
Abstract
Branching programs are a general model of sequential computation. One of their computational features is their possibility to question (repeatedly) the information from each input bit. Real-time branching programs make at most n questions when computing on an input of length n. The restriction “real-time” allows to find a simple language which requires the lower bound 2√2n/8 on memory (= the state space).
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