{"title":"Subintuitionistic logics and their modal companions: a nested approach.","authors":"Matteo Tesi","doi":"10.1080/11663081.2024.2366756","DOIUrl":"https://doi.org/10.1080/11663081.2024.2366756","url":null,"abstract":"<p><p>In the present paper we deal with subintuitionistic logics and their modal companions. In particular, we introduce nested calculi for subintuitionistic systems and for modal logics in the <math><mrow><mi>S</mi> <mn>5</mn></mrow> </math> modal cube ranging from <math><mrow><mi>K</mi></mrow> </math> to <math><mrow><mi>S</mi> <mn>4</mn></mrow> </math> . The latter calculi differ from standard nested systems, as there are multiple rules handling the modal operator. As an upshot, we get a purely syntactic proof of the Gödel-McKinsey-Tarski embedding which preserves the structure and the height of the derivations. Finally, we obtain a conservativity result for classical logic over a weak subintuitionistic system.</p>","PeriodicalId":38573,"journal":{"name":"Journal of Applied Non-Classical Logics","volume":"34 4","pages":"493-526"},"PeriodicalIF":0.0,"publicationDate":"2024-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11737289/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143013448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
G. Nguepy Dongmo, B. B. Koguep Njionou, L. Kwuida, M. Onabid
{"title":"Multilattice as the set of truth values for fuzzy rough sets","authors":"G. Nguepy Dongmo, B. B. Koguep Njionou, L. Kwuida, M. Onabid","doi":"10.1080/11663081.2024.2373016","DOIUrl":"https://doi.org/10.1080/11663081.2024.2373016","url":null,"abstract":"","PeriodicalId":38573,"journal":{"name":"Journal of Applied Non-Classical Logics","volume":" 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141673424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Truth diagrams for some non-classical and modal logics","authors":"Can Başkent","doi":"10.1080/11663081.2024.2366752","DOIUrl":"https://doi.org/10.1080/11663081.2024.2366752","url":null,"abstract":"","PeriodicalId":38573,"journal":{"name":"Journal of Applied Non-Classical Logics","volume":" 45","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141678117","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Logics from rough sets","authors":"M. Banerjee, M. K. Chakraborty, Andrzej Szalas","doi":"10.1080/11663081.2024.2336616","DOIUrl":"https://doi.org/10.1080/11663081.2024.2336616","url":null,"abstract":"characterises the quasiorder-generated","PeriodicalId":38573,"journal":{"name":"Journal of Applied Non-Classical Logics","volume":"10 24","pages":"171 - 173"},"PeriodicalIF":0.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141684272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Crypto-preorders, topological relations, information and logic","authors":"Piero Pagliani","doi":"10.1080/11663081.2024.2336374","DOIUrl":"https://doi.org/10.1080/11663081.2024.2336374","url":null,"abstract":"","PeriodicalId":38573,"journal":{"name":"Journal of Applied Non-Classical Logics","volume":" 30","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140692110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A study of modal logic with semantics based on rough set theory","authors":"Md. Aquil Khan, Ranjan, Amal Talukdar","doi":"10.1080/11663081.2024.2336385","DOIUrl":"https://doi.org/10.1080/11663081.2024.2336385","url":null,"abstract":"","PeriodicalId":38573,"journal":{"name":"Journal of Applied Non-Classical Logics","volume":"54 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140736925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Granular knowledge and rational approximation in general rough sets – I","authors":"A. Mani","doi":"10.1080/11663081.2024.2336387","DOIUrl":"https://doi.org/10.1080/11663081.2024.2336387","url":null,"abstract":"","PeriodicalId":38573,"journal":{"name":"Journal of Applied Non-Classical Logics","volume":"197 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140746465","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}