{"title":"部分k值逻辑中Sheffer函数判定的一些结果。2。","authors":"Liu Ren-ren","doi":"10.1109/ISMVL.1998.679296","DOIUrl":null,"url":null,"abstract":"In multiple-valued logic theories, the characterization of Sheffer (1913) functions is an important problem, it includes the decision and construction for Sheffer functions in P/sub k/ and P/sub k/*. The solution of these problems depends on the solution of the decision problem of completeness in P/sub k/ and P/sub k/*, and reduced to determining the minimal coverings of precomplete classes in P/sub k/ and P/sub k/* respectively. In this paper, some full symmetric function sets are proved to be the component part of the minimal covering of precomplete classes in P/sub k/*.","PeriodicalId":377860,"journal":{"name":"Proceedings. 1998 28th IEEE International Symposium on Multiple- Valued Logic (Cat. No.98CB36138)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Some results on the decision for Sheffer functions in partial K-valued logic. II\",\"authors\":\"Liu Ren-ren\",\"doi\":\"10.1109/ISMVL.1998.679296\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In multiple-valued logic theories, the characterization of Sheffer (1913) functions is an important problem, it includes the decision and construction for Sheffer functions in P/sub k/ and P/sub k/*. The solution of these problems depends on the solution of the decision problem of completeness in P/sub k/ and P/sub k/*, and reduced to determining the minimal coverings of precomplete classes in P/sub k/ and P/sub k/* respectively. In this paper, some full symmetric function sets are proved to be the component part of the minimal covering of precomplete classes in P/sub k/*.\",\"PeriodicalId\":377860,\"journal\":{\"name\":\"Proceedings. 1998 28th IEEE International Symposium on Multiple- Valued Logic (Cat. No.98CB36138)\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-05-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. 1998 28th IEEE International Symposium on Multiple- Valued Logic (Cat. No.98CB36138)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.1998.679296\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 1998 28th IEEE International Symposium on Multiple- Valued Logic (Cat. No.98CB36138)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1998.679296","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some results on the decision for Sheffer functions in partial K-valued logic. II
In multiple-valued logic theories, the characterization of Sheffer (1913) functions is an important problem, it includes the decision and construction for Sheffer functions in P/sub k/ and P/sub k/*. The solution of these problems depends on the solution of the decision problem of completeness in P/sub k/ and P/sub k/*, and reduced to determining the minimal coverings of precomplete classes in P/sub k/ and P/sub k/* respectively. In this paper, some full symmetric function sets are proved to be the component part of the minimal covering of precomplete classes in P/sub k/*.