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Elementary Classes and Elementary Equivalence

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Mathematical Logic

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 37))

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Abstract

We now investigate the basic notions of first-order logic. We shall give mathematical characterizations of elementary classes due to Fraissé, Ehrenfeucht, and Keisler and Shelah. The fundamental results of first-order logic are distinguished from more general languages by a theorem of Lindstrom.

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© 1976 Springer-Verlag Inc.

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Monk, J.D. (1976). Elementary Classes and Elementary Equivalence. In: Mathematical Logic. Graduate Texts in Mathematics, vol 37. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9452-5_27

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  • DOI: https://doi.org/10.1007/978-1-4684-9452-5_27

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-9454-9

  • Online ISBN: 978-1-4684-9452-5

  • eBook Packages: Springer Book Archive

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