{"title":"对维瑟形式逻辑的修正及其与索洛维模态逻辑的联系","authors":"","doi":"10.3103/s1066369x23110051","DOIUrl":null,"url":null,"abstract":"<span> <h3>Abstract</h3> <p>We present a new logic called <strong>SPL</strong>, embedded into Solovay’s provability logic <strong>S</strong>, using a translation that embeds Visser’s formal logic <strong>FPL</strong> into Gödel–Löb’s provability logic <strong>GL</strong>. <strong>SPL</strong> is formulated as sequent and natural deduction calculi, and a the Kripke semantics is proposed for <strong>SPL</strong>.</p> </span>","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"7 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Modification of Visser’s Formal Logic and Its Connection with Solovay’s Modal Logic\",\"authors\":\"\",\"doi\":\"10.3103/s1066369x23110051\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<span> <h3>Abstract</h3> <p>We present a new logic called <strong>SPL</strong>, embedded into Solovay’s provability logic <strong>S</strong>, using a translation that embeds Visser’s formal logic <strong>FPL</strong> into Gödel–Löb’s provability logic <strong>GL</strong>. <strong>SPL</strong> is formulated as sequent and natural deduction calculi, and a the Kripke semantics is proposed for <strong>SPL</strong>.</p> </span>\",\"PeriodicalId\":46110,\"journal\":{\"name\":\"Russian Mathematics\",\"volume\":\"7 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Russian Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3103/s1066369x23110051\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3103/s1066369x23110051","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
A Modification of Visser’s Formal Logic and Its Connection with Solovay’s Modal Logic
Abstract
We present a new logic called SPL, embedded into Solovay’s provability logic S, using a translation that embeds Visser’s formal logic FPL into Gödel–Löb’s provability logic GL. SPL is formulated as sequent and natural deduction calculi, and a the Kripke semantics is proposed for SPL.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
