{"title":"一种处理描述逻辑SHOQ中标称和量化数限制的ExpTime表方法","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":"{\"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}","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}
An ExpTime Tableau Method for Dealing with Nominals and Quantified Number Restrictions in Deciding the Description Logic SHOQ
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.