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Infinitary Languages N∞λ and Generalized Partial Isomorphisms

  • Maaret Karttunen
Part of the Synthese Library book series (SYLI, volume 122)

Abstract

In [3] Hintikka and Rantala define a new hierarchy of infinitary languages (the so-called N ∞λ. In our paper we consider the relationship between these languages and some generalized partial isomorphisms. With these generalizations we can give an algebraic characterization to the elementary equivalence of N∞λ.

Keywords

Free Variable Atomic Formula Predicate Symbol Winning Strategy Regular Cardinal 
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References

  1. [1]
    Dickmann, M. A., Large Infinitary Languages, North-Holland, Amsterdam, 1975.Google Scholar
  2. [2]
    Drake, F. R., Set Theory. An Introduction to Large Cardinals, North-Holland, Amsterdam, 1973.Google Scholar
  3. [3]
    Hintikka, J. and Rantala, V., ‘A new approach to infinitary languages’, Annals of Mathematical Logic 10 (1976), 95–115.CrossRefGoogle Scholar
  4. [4]
    Keisler, H. J., ‘Formulas with linearly ordered quantifiers’, in The Syntax and Semantics of Infinitary Languages, ed. by J. Barwise, Lecture Notes in Mathematics 72, Springer, Berlin, 1968, pp. 96–130.Google Scholar
  5. [5]
    Kueker, D. W., ‘Back-and-forth arguments and infinitary logics’, in Infinitary Logic: In Memoriam Carol Karp, ed. by D. W. Kueker, Lecture Notes in Mathematics 492, Springer, Berlin, 1975, pp. 17–71.CrossRefGoogle Scholar

Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1979

Authors and Affiliations

  • Maaret Karttunen
    • 1
  1. 1.Department of Computer ScienceUniversity of HelsinkiFinland

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