{"title":"Algorithm of transforming any formula in LP(X) to a pure-generalized conjunction normal form","authors":"D. Meng, Yang Xu, K. Qin","doi":"10.1109/NAFIPS.2002.1018027","DOIUrl":null,"url":null,"abstract":"In the present paper the algorithm of transforming any formula in LP(X) to a pure-generalized conjunction normal form is focused. Concretely, some important concepts and results about lattice implication algebra (LIA), lattice-valued prepositional logic LP(X) and resolution principle based on LP(X) are introduced firstly. Then algorithm of transforming any implication term to a reducible form is considered. Finally, the method of transforming any formula F in LP(X) to a pure-generalized conjunction normal form is given.","PeriodicalId":348314,"journal":{"name":"2002 Annual Meeting of the North American Fuzzy Information Processing Society Proceedings. NAFIPS-FLINT 2002 (Cat. No. 02TH8622)","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2002 Annual Meeting of the North American Fuzzy Information Processing Society Proceedings. NAFIPS-FLINT 2002 (Cat. No. 02TH8622)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NAFIPS.2002.1018027","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In the present paper the algorithm of transforming any formula in LP(X) to a pure-generalized conjunction normal form is focused. Concretely, some important concepts and results about lattice implication algebra (LIA), lattice-valued prepositional logic LP(X) and resolution principle based on LP(X) are introduced firstly. Then algorithm of transforming any implication term to a reducible form is considered. Finally, the method of transforming any formula F in LP(X) to a pure-generalized conjunction normal form is given.