{"title":"An ExpTime Tableau Method for Dealing with Nominals and Quantified Number Restrictions in Deciding the Description Logic SHOQ","authors":"Linh Anh Nguyen, Joanna Golinska-Pilarek","doi":"10.3233/FI-2014-1133","DOIUrl":null,"url":null,"abstract":"We present the first tableau method with an EXPTIME (optimal) complexity for checking satisfiability of a knowledge base in the description logic ${\\cal{SHOQ}}$, which extends ${\\cal{ALC}}$ with transitive roles, hierarchies of roles, nominals and qualified number restrictions. The complexity is measured using unary representation for numbers (in number restrictions). Our procedure is based on global caching and integer linear feasibility checking.","PeriodicalId":286395,"journal":{"name":"International Workshop on Concurrency, Specification and Programming","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Workshop on Concurrency, Specification and Programming","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/FI-2014-1133","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12
Abstract
We present the first tableau method with an EXPTIME (optimal) complexity for checking satisfiability of a knowledge base in the description logic ${\cal{SHOQ}}$, which extends ${\cal{ALC}}$ with transitive roles, hierarchies of roles, nominals and qualified number restrictions. The complexity is measured using unary representation for numbers (in number restrictions). Our procedure is based on global caching and integer linear feasibility checking.
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