{"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}
引用次数: 3
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.
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