{"title":"ExpTime Tableaux with Global Caching for Graded Propositional Dynamic Logic","authors":"Linh Anh Nguyen","doi":"10.3233/FI-2016-1408","DOIUrl":null,"url":null,"abstract":"We present the first direct tableau decision procedure for graded PDL, which uses global caching and has ExpTime (optimal) complexity when numbers are encoded in unary. It shows how to combine checking fulfillment of existential star modalities with integer linear feasibility checking for tableaux with global caching. As graded PDL can be used as a description logic for representing and reasoning about terminological knowledge, our procedure is useful for practical applications.","PeriodicalId":286395,"journal":{"name":"International Workshop on Concurrency, Specification and Programming","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Workshop on Concurrency, Specification and Programming","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/FI-2016-1408","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We present the first direct tableau decision procedure for graded PDL, which uses global caching and has ExpTime (optimal) complexity when numbers are encoded in unary. It shows how to combine checking fulfillment of existential star modalities with integer linear feasibility checking for tableaux with global caching. As graded PDL can be used as a description logic for representing and reasoning about terminological knowledge, our procedure is useful for practical applications.
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