{"title":"Normalization and axiomatization for numerical dependencies","authors":"John Grant, Jack Minker","doi":"10.1016/S0019-9958(85)80017-6","DOIUrl":null,"url":null,"abstract":"<div><p>We show how to use both horizontal and vertical decomposition to normalize a database schema which contains numerical dependencies. We present a finite set of inference rules for numerical dependencies which is a generalization of the Armstrong axioms. We prove that this set is sound and complete for some special cases.</p></div>","PeriodicalId":38164,"journal":{"name":"信息与控制","volume":"65 1","pages":"Pages 1-17"},"PeriodicalIF":0.0000,"publicationDate":"1985-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0019-9958(85)80017-6","citationCount":"22","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"信息与控制","FirstCategoryId":"1093","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0019995885800176","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: 22
Abstract
We show how to use both horizontal and vertical decomposition to normalize a database schema which contains numerical dependencies. We present a finite set of inference rules for numerical dependencies which is a generalization of the Armstrong axioms. We prove that this set is sound and complete for some special cases.