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Introduction

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Henkin-Keisler Models

Part of the book series: Mathematics and Its Applications ((MAIA,volume 392))

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Abstract

In this chapter we review the Henkin construction, the ultraproduct construction as well as some basic concepts and results from set theory and the theory of models.

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References

  • Chang, C.C. and Keisler, H. J., Model Theory, second edition (North Holland, Amsterdam), 1977.

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  • Hasenjaeger, G., Eine Bemerkung zu Henkin’s Beweis für die Vollständigkeit des Prdädikatenkalküls der ersten Stufe, J. Symbolic Logic 18, 42–48, 1953.

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  • Henkin, L., The Completeness of the First Order Functional Calculus, J. Symbolic Logic 14, 159–166, 1949.

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  • Tarski, A and Vaught, R.L., Arithmatical Extensions of Relational Systems, Comp. Math. 13, 82–101, 1957.

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© 1997 Kluwer Academic Publishers

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(1997). Introduction. In: Henkin-Keisler Models. Mathematics and Its Applications, vol 392. Springer, Boston, MA. https://doi.org/10.1007/978-0-585-28844-4_1

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  • DOI: https://doi.org/10.1007/978-0-585-28844-4_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-7923-4366-0

  • Online ISBN: 978-0-585-28844-4

  • eBook Packages: Springer Book Archive

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