{"title":"命题偏斜布尔逻辑","authors":"R. Bignall, M. Spinks","doi":"10.1109/ISMVL.1996.508334","DOIUrl":null,"url":null,"abstract":"A non-commutative propositional logic is described. A Hilbert-style axiomatisation is given for the logic, and a multiple-valued interpretation is constructed. The logic is shown to be sound and complete with respect to this interpretation. We also show that the logic has no finite complete models. An application includes the specification and design of multiple-valued switching circuits.","PeriodicalId":403347,"journal":{"name":"Proceedings of 26th IEEE International Symposium on Multiple-Valued Logic (ISMVL'96)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":"{\"title\":\"Propositional skew Boolean logic\",\"authors\":\"R. Bignall, M. Spinks\",\"doi\":\"10.1109/ISMVL.1996.508334\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A non-commutative propositional logic is described. A Hilbert-style axiomatisation is given for the logic, and a multiple-valued interpretation is constructed. The logic is shown to be sound and complete with respect to this interpretation. We also show that the logic has no finite complete models. An application includes the specification and design of multiple-valued switching circuits.\",\"PeriodicalId\":403347,\"journal\":{\"name\":\"Proceedings of 26th IEEE International Symposium on Multiple-Valued Logic (ISMVL'96)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-01-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 26th IEEE International Symposium on Multiple-Valued Logic (ISMVL'96)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.1996.508334\",\"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 of 26th IEEE International Symposium on Multiple-Valued Logic (ISMVL'96)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1996.508334","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A non-commutative propositional logic is described. A Hilbert-style axiomatisation is given for the logic, and a multiple-valued interpretation is constructed. The logic is shown to be sound and complete with respect to this interpretation. We also show that the logic has no finite complete models. An application includes the specification and design of multiple-valued switching circuits.