{"title":"关于系统CB1和准一致性结石的一个格","authors":"J. Ciuciura","doi":"10.12775/llp.2019.035","DOIUrl":null,"url":null,"abstract":"In this paper, we present a calculus of paraconsistent logic. We propose an axiomatisation and a semantics for the calculus, and prove several important meta-theorems. The calculus, denoted as CB 1 , is an extension of systems PI, C min and B 1 , and a proper subsystem of Sette’s calculus P 1 . We also investigate the generalization of CB 1 to the hierarchy of related calculi.","PeriodicalId":43501,"journal":{"name":"Logic and Logical Philosophy","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2019-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"On the system CB1 and a lattice of the paraconsistent calculi\",\"authors\":\"J. Ciuciura\",\"doi\":\"10.12775/llp.2019.035\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we present a calculus of paraconsistent logic. We propose an axiomatisation and a semantics for the calculus, and prove several important meta-theorems. The calculus, denoted as CB 1 , is an extension of systems PI, C min and B 1 , and a proper subsystem of Sette’s calculus P 1 . We also investigate the generalization of CB 1 to the hierarchy of related calculi.\",\"PeriodicalId\":43501,\"journal\":{\"name\":\"Logic and Logical Philosophy\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2019-12-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Logic and Logical Philosophy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12775/llp.2019.035\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"LOGIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Logic and Logical Philosophy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12775/llp.2019.035","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"LOGIC","Score":null,"Total":0}
On the system CB1 and a lattice of the paraconsistent calculi
In this paper, we present a calculus of paraconsistent logic. We propose an axiomatisation and a semantics for the calculus, and prove several important meta-theorems. The calculus, denoted as CB 1 , is an extension of systems PI, C min and B 1 , and a proper subsystem of Sette’s calculus P 1 . We also investigate the generalization of CB 1 to the hierarchy of related calculi.
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