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On finite linear intermediate predicate logics

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Abstract

An intermediate predicate logicS n+ (n>0) is introduced and investigated. First, a sequent calculusGS n is introduced, which is shown to be equivalent toS n+ and for which the cut elimination theorem holds. In § 2, it will be shown thatS n+ is characterized by the class of all linear Kripke frames of the heightn.

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References

  1. M. C. Fitting,Intuitionistic Logic, Model Theory and Forcing, North-Holland, Amsterdam, 1969.

    Google Scholar 

  2. T. Hosoi,On intermediate logics III,Journal of Tsuda College 6 (1974), pp. 23–38.

    Google Scholar 

  3. Y. Komori,Some results on the super-intuitionistic predicate logics,Reports on Mathematical Logic 15 (1983), pp. 13–31.

    Google Scholar 

  4. H. Ono,Model extension theorem and Craig's interpolation theorem for intermediate predicate logics,Reports on Mathematical Logics 15 (1983), pp. 41–58.

    Google Scholar 

  5. H. Ono,Some problems in intermediate predicate logics,Reports on Mathematical Logic 21 (1987), pp. 55–67.

    Google Scholar 

  6. O. Sonobe,A Gentzen-type formulation of some intermediate propositional logics,Journal of Tsuda College 7 (1975), pp. 7–14.

    Google Scholar 

  7. S. Yokota,Axiomatization of the first-order intermediate logics of bounded Kripkean heights, in preparation.

  8. G. Corsi,On Dummett's LC quantified, manuscript, 1987.

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Authors and Affiliations

  1. Faculty of Integrated Arts and Sciences, Hiroshima University, 730, Hiroshima, Japan

    Hiroakira Ono

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  1. Hiroakira Ono
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To the memory of the late Professor Iwao Nishimura

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Ono, H. On finite linear intermediate predicate logics. Stud Logica 47, 391–399 (1988). https://doi.org/10.1007/BF00671568

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  • DOI: https://doi.org/10.1007/BF00671568

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