Skip to main content

Elimination of quantifiers for the theory of Archimedean ordered divisible groups in a logic with Ramsey quantifiers

  • Conference paper
  • First Online:
Models and Sets

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1103))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barwise, K.J. (ed.): Handbook of mathematical logic North-Holland Publ. Co., Amsterdam-London, 1977

    Google Scholar 

  2. Baudisch, A.: Elimination of the quantifier Q in the theory of abelian groups Bull. de l'Acad. Polon. Sci., Ser. Sci. Math. Astronom. Phys. 24 (1976), 543–549.

    MathSciNet  MATH  Google Scholar 

  3. Baudisch, A.: Decidability of the theory of abelian groups with Ramsey quantifiers Bull. de l'Acad. Polon. Sci., Ser. Sci. Math. Astronom. Phys. 25 (1977), 733–739

    MathSciNet  MATH  Google Scholar 

  4. Chang, C.C. & Keisler, H.J.: Model theory North-Holland Publ. Co., Amsterdam-London, 1973

    MATH  Google Scholar 

  5. Cowles, J.: The theory of archimedean real closed fields in logics with Ramsey quantifiers Fund. Math. 103 (1979), 65–76

    MathSciNet  MATH  Google Scholar 

  6. Courant, R.: Vorlesungen über Differential-und Integralrechnung (2 Bände) Springer Verlag, Heidelberg-Berlin-New York, 1971/72

    Book  MATH  Google Scholar 

  7. Fuchs, L.: Partially ordered algebraic systems Pergamon Press, Oxford, 1963.

    MATH  Google Scholar 

  8. Magidor, M. & Malitz, J.: Compact extensions of L(Q) (part 1a) Ann. Math, Logic 11 (1977), 217–261

    Article  MathSciNet  MATH  Google Scholar 

  9. Mostowski, A.: On a generalization of quantifiers Fund. Math. 44 (1957), 12–36

    MathSciNet  MATH  Google Scholar 

  10. Schmitt, P.H.: Model theory of ordered abelian groups Habilitationsschrift Univ. Heidelberg, 1982

    Google Scholar 

  11. Szmielew, W.: Elementary properties of abelian groups Fund. Math. 41 (1955), 203–271

    MathSciNet  MATH  Google Scholar 

  12. Weispfenning, V.: Elimination of quantifiers for certain ordered and lattice-ordered abelian groups Bull. Soc. Math. Belg. 33 (1981), 131–155

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Gert H. Müller Michael M. Richter

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Lenski, W. (1984). Elimination of quantifiers for the theory of Archimedean ordered divisible groups in a logic with Ramsey quantifiers. In: Müller, G.H., Richter, M.M. (eds) Models and Sets. Lecture Notes in Mathematics, vol 1103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099390

Download citation

  • DOI: https://doi.org/10.1007/BFb0099390

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13900-3

  • Online ISBN: 978-3-540-39115-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics