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  • 标题:Topological and Multi-Topological Frames in the Context of Intuitionistic Modal Logic
  • 本地全文:下载
  • 作者:Tomasz Witczak
  • 期刊名称:Bulletin of the Section of Logic
  • 印刷版ISSN:0138-0680
  • 电子版ISSN:2449-836X
  • 出版年度:2019
  • 卷号:48
  • 期号:3
  • 页码:187-205
  • DOI:10.18778/0138-0680.48.3.03
  • 出版社:Lodz University Press
  • 摘要:We present three examples of topological semantics for intuitionistic modal logic with one modal operator □. We show that it is possible to treat neighborhood models, introduced earlier, as topological or multi-topological. From the neighborhood point of view, our method is based on differences between properties of minimal and maximal neighborhoods. Also we propose transformation of multitopological spaces into the neighborhood structures.
  • 其他摘要:We present three examples of topological semantics for intuitionistic modal logic with one modal operator □. We show that it is possible to treat neighborhood models, introduced earlier, as topological or multi-topological. From the neighborhood point of view, our method is based on differences between properties of minimal and maximal neighborhoods. Also we propose transformation of multitopological spaces into the neighborhood structures.
  • 关键词:intuitionistic modal logic; neighbourhood semantics; topological semantics; Kripke frames; soundness and completeness.
  • 其他关键词:intuitionistic modal logic;neighbourhood semantics;topological semantics;Kripke frames;soundness and completeness
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