{"title":"Minimisation of Models Satisfying CTL Formulas","authors":"S. Cerrito, Amélie David, V. Goranko","doi":"10.4230/LIPIcs.TIME.2019.13","DOIUrl":null,"url":null,"abstract":"We study the problem of minimisation of a given finite pointed Kripke model satisfying a given CTL formula, with the only objective to preserve the satisfaction of that formula in the resulting reduced model. We consider minimisations of the model with respect both to state-based redundancies and formula-based redundancies in that model. We develop a procedure computing all such minimisations, illustrate it with some examples, and provide some complexity analysis for it.","PeriodicalId":75226,"journal":{"name":"Time","volume":"1 1","pages":"13:1-13:15"},"PeriodicalIF":0.0000,"publicationDate":"2019-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Time","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4230/LIPIcs.TIME.2019.13","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study the problem of minimisation of a given finite pointed Kripke model satisfying a given CTL formula, with the only objective to preserve the satisfaction of that formula in the resulting reduced model. We consider minimisations of the model with respect both to state-based redundancies and formula-based redundancies in that model. We develop a procedure computing all such minimisations, illustrate it with some examples, and provide some complexity analysis for it.
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