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文章基本信息

  • 标题:Constant Domain Quantified Modal Logics Without Boolean Negation
  • 本地全文:下载
  • 作者:Greg Restall
  • 期刊名称:Australasian Journal of Logic
  • 印刷版ISSN:1448-5052
  • 电子版ISSN:1448-5052
  • 出版年度:2005
  • 卷号:3
  • 期号:0
  • 出版社:Philosophy Department, University of Melbourne
  • 摘要:his paper provides a sound and complete axiomatisation for constant domain modal logics without Boolean negation. This is a simpler case of the difficult problem of providing a sound and complete axiomatisation for constant-domain quantified relevant logics, which can be seen as a kind of modal logic with a two-place modal operator, the relevant conditional. The completeness proof is adapted from a proof for classical modal predicate logic (I follow James Garson’s 1984 presentation of the completeness proof quite closely), but with an important twist, to do with the absence of Boolean negation.
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