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Model Theory and Arithmetic

Comptes rendus d'une action thematique programmee du C.N.R.S. sur la theorie des modeles et l'Arithmetique, Paris, France, 1979/80

  • Conference proceedings
  • © 1981

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Editors:
  1. Chantal Berline
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  2. Kenneth McAloon
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  3. Jean-Pierre Ressayre
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 890)

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Table of contents (20 papers)

  1. Front Matter

    Pages N2-VI
    Download chapter PDF

  2. Models of Peano Arithmetic

    • Anand Pillay
    Pages 1-12

  3. Cuts in Models of Arithmetic

    • Anand Pillay
    Pages 13-20

  4. Two notes on the Paris independence result

    • Peter Aczel
    Pages 21-24

  5. The ordinal height of a density

    • Chantal Berline, Kenneth McAloon, Jean-Pierre Ressayre
    Pages 25-31

  6. Ideaux des anneaux de Peano (d'apres Cherlin)

    • Chantal Berline
    Pages 32-43

  7. Theorie elementaire de la multiplication des entiers naturels

    • Patrick Cegielski
    Pages 44-89

  8. La representation en termes de faisceaux des modeles de la theorie elementaire de la multiplication des entiers naturels

    • Zoè Chatzidakis
    Pages 91-110

  9. Note on a nullstellensatz

    • Gregory L. Cherlin, Max A. Dikmann
    Pages 111-114

  10. Anti-Basis theorems and their relation to independence results in Peano arithmetic

    • Peter Clote
    Pages 115-133

  11. A note on Decidable Model theory

    • Peter Clote
    Pages 134-142

  12. Interprétations d'Arithmétiques dans des groupes et des treillis

    • Michèle Jambu-Giraudet
    Pages 143-153

  13. Les methodes de Kieby-Paris et la théorie des ensembles

    • Kenneth Mc Aloon, Jean-Pierre Ressayre
    Pages 154-184

  14. The laws of exponentiation

    • Angus Macintyre
    Pages 185-197

  15. Le théorème de MATIYASSÉVITCH et résultats connexes

    • M. Margenstern
    Pages 198-241

  16. Borne superieure de la complexite de la theorie de ℕ muni de la relation de divisibilite

    • Pascal Michel
    Pages 242-250

  17. Some conservation results for fragments of arithmetic

    • J. B. Paris
    Pages 251-262

  18. Partition properties and definable types in Peano Arithmetic

    • Anand Pillay
    Pages 263-269

  19. De la structure additive a la saturation des modeles de Peano et a une classification des sous-langages de l'Arithmetique

    • Denis Richard
    Pages 270-296

  20. On discretely ordered rings in which every definable ideal is principal

    • A. J. Wilkie
    Pages 297-303
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Keywords

Bibliographic Information

  • Book Title: Model Theory and Arithmetic

  • Book Subtitle: Comptes rendus d'une action thematique programmee du C.N.R.S. sur la theorie des modeles et l'Arithmetique, Paris, France, 1979/80

  • Editors: Chantal Berline, Kenneth McAloon, Jean-Pierre Ressayre

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0095651

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1981

  • Softcover ISBN: 978-3-540-11159-7Published: 01 November 1981

  • eBook ISBN: 978-3-540-38629-2Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 306

  • Topics: Mathematical Logic and Foundations

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