{"title":"Separation in nonlinear time models","authors":"Amihood Amir","doi":"10.1016/S0019-9958(85)80059-0","DOIUrl":null,"url":null,"abstract":"<div><p>Little is known about the expressive completeness of connectives in temporal logic systems with a nonlinear time model. We introduce <em>separation</em>—a general tool for proving completeness in nonlinear time models. We then use the separation theorem to show expressive completeness of a finite set of connectives in various branching time models.</p></div>","PeriodicalId":38164,"journal":{"name":"信息与控制","volume":"66 3","pages":"Pages 177-203"},"PeriodicalIF":0.0000,"publicationDate":"1985-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0019-9958(85)80059-0","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"信息与控制","FirstCategoryId":"1093","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0019995885800590","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: 5
Abstract
Little is known about the expressive completeness of connectives in temporal logic systems with a nonlinear time model. We introduce separation—a general tool for proving completeness in nonlinear time models. We then use the separation theorem to show expressive completeness of a finite set of connectives in various branching time models.
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