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A three-valued quantificational logic of context

  • Kaile Su
  • Decheng Ding
  • Huowang Chen
Session 10: Rewriting and Logic
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1276)

Abstract

In this paper we set a three-valued quantificational multi-modal logic which can be used in characterizing the general logical properties of contexts and those of agents. A new non-Kripke style framework of semantics is introduced, and a Hilbert style proof system is proposed for this logic which is proved to be sound and complete as main results of this paper. This logic extends standard quantificational multi-modal logic of knowledge and belief in three directions. Firstly, we can make explicit quantification over modalities. Secondly, it is not necessary that all first-order structures in a particular model have the same domain and the same language. Each context or agent not only may have its own language and domain of objects, but also deferent languages and domains in the view-points of deferent contexts or agents. Thirdly, this logic is three-valued and any sentence in a particular model may be true, false and meaningless.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Kaile Su
    • 1
    • 3
  • Decheng Ding
    • 2
  • Huowang Chen
    • 3
  1. 1.Inst. of Computer ScienceShantou Univ.ShantouP.R. China
  2. 2.Dept. of Math.Nanjing Univ.NanjingP.R. China
  3. 3.Dept. of Computer ScienceChangsha Inst. of TechnologyChangshaP.R. China

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