Skip to main content
SpringerLink
Log in

The decision problem for some finite extensions of the intuitionistic theory of abelian groups

  • Published:
Studia Logica Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. D. M. Gabbay,Sufficient conditions for the undecidability of intuitionistic theories.The Journal of Symbolic Logic, Vol. 37, No. 2 (1972), pp. 375–384.

    Google Scholar 

  2. D. M. Gabbay,Undecidability of intuitionistic theories of algebraic and real closed fields,The Journal of Symbolic Logic, Vol. 38, No. 1 (1973), pp. 86–92.

    Google Scholar 

  3. D. M. Gabbay,Undecidability of intuitionistic theories formulated with the apartness relation,Fundamenta Mathematicae, 1973.

  4. D. M. Gabbay,Decidability of some intuitionistic predicate theories,The Journal of Symbolic Logic, Vol. 37, No. 3 (1972), pp. 579–587.

    Google Scholar 

  5. S. R. Kripke,Semantical analysis for intuitionistic logic (I), in:Formal systems recursive functions, J. Crossley and M. Dunnett (eds.), Amsterdam, 1965.

  6. A. Kurosh,Theory of groups, Vol. 1, Chelsea.

  7. M. O. Rabin,Decidability of 2nd order theories and automata in infinite trees.Transactions of the American Mathematical Society, July 1969, pp. 1–35.

  8. C. Smorynski,Some recent results on elementary intuitinistic theories, thesis. University of Illinois.

  9. A. Heyting,Axiomatic method in intuitionism, in:Essays on the foundations of mathematics, Jerusalem, 1967, pp. 237–248.

  10. A. Heyting,Intuitionism, North-Holland Publishing Comp.

  11. S. C. Kleene andR. E. Vesley,Foundations of intuitionistic mathematics, North-Holland Publishing Comp.

  12. D. M. Gabbay,Completeness properties of HPC W.r.tRecursive models, to appear.

  13. P. Freyd,Aspects of Topoi,The Australian Mathematical Society Bulletin, 1972, pp. 1–76.

  14. C. S. Mulvey,Intuitionistic algebra and representations of rings. Report, University of Sussex, 1973.

Download references

Author information

Authors and Affiliations

  1. Bar-Ilan University, Ramat-Gan, Tev Aviv, Israel

    Dov M. Gabbay

Authors
  1. Dov M. Gabbay
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Allatum est die 2 Septembris 1974

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gabbay, D.M. The decision problem for some finite extensions of the intuitionistic theory of abelian groups. Stud Logica 34, 59–67 (1975). https://doi.org/10.1007/BF02314424

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02314424

Keywords

Search

Navigation