{"title":"Query answering in lattice-based description logic","authors":"Krishna Manoorkar, Ruoding Wang","doi":"arxiv-2409.02289","DOIUrl":null,"url":null,"abstract":"Recently, the description logic LE-$\\mathcal{ALC}$ was introduced for\nreasoning in the semantic environment of the enriched formal contexts, and a\ntableaux algorithm was developed for checking the consistency of ABoxes in this\nlogic \\cite{van2023non}. In this paper, we study the ontology-mediated query\nanswering in LE-$\\mathcal{ALC}$. In particular, we show that several different\ntypes of queries can be answered efficiently for LE-$\\mathcal{ALC}$ knowledge\nbases with acyclic TBoxes using our tableaux algorithm directly or by extending\nit with some additional rules.","PeriodicalId":501208,"journal":{"name":"arXiv - CS - Logic in Computer Science","volume":"24 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Logic in Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.02289","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
Recently, the description logic LE-$\mathcal{ALC}$ was introduced for
reasoning in the semantic environment of the enriched formal contexts, and a
tableaux algorithm was developed for checking the consistency of ABoxes in this
logic \cite{van2023non}. In this paper, we study the ontology-mediated query
answering in LE-$\mathcal{ALC}$. In particular, we show that several different
types of queries can be answered efficiently for LE-$\mathcal{ALC}$ knowledge
bases with acyclic TBoxes using our tableaux algorithm directly or by extending
it with some additional rules.
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