Studia Logica

, Volume 40, Issue 2, pp 89–98 | Cite as

Model theory for tense logic: Saturated and special models with applications to the tense hierarchy

  • Hirokazu Nishimura
Article
  • 52 Downloads

Abstract

The aims of this paper are: (1) to present tense-logical versions of such classical notions as saturated and special models; (2) to establish several fundamental existence theorems about these notions; (3) to apply these powerful techniques to tense complexity.

In this paper we are concerned exclusively with quantifiedK1 (for linear time) with constant domain. Our present research owes much to Bowen [2], Fine [5] and Gabbay [6].

Keywords

Mathematical Logic Special Model Model Theory Linear Time Existence Theorem 

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References

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    J. L. Bell andA. B. Slomson,Models and Ultraproducts, North Holland, 1969.Google Scholar
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    K. A. Bowen,Normal modal model theory,Journal of Philosophical Logic 4 (1975), pp. 97–131.Google Scholar
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Copyright information

© Polish Academy of Sciences 1981

Authors and Affiliations

  • Hirokazu Nishimura
    • 1
  1. 1.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan

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