{"title":"Collapsing Constructive and Intuitionistic Modal Logics","authors":"Leonardo Pacheco","doi":"arxiv-2408.16428","DOIUrl":null,"url":null,"abstract":"In this note, we prove that the constructive and intuitionistic variants of\nthe modal logic $\\mathsf{KB}$ coincide. This result contrasts with a recent\nresult by Das and Marin, who showed that the constructive and intuitionistic\nvariants of $\\mathsf{K}$ do not prove the same diamond-free formulas.","PeriodicalId":501306,"journal":{"name":"arXiv - MATH - Logic","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.16428","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this note, we prove that the constructive and intuitionistic variants of
the modal logic $\mathsf{KB}$ coincide. This result contrasts with a recent
result by Das and Marin, who showed that the constructive and intuitionistic
variants of $\mathsf{K}$ do not prove the same diamond-free formulas.
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