Skip to main content
Log in

Overspill and fragments of arithmetic

  • Published:
Archive for Mathematical Logic Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. Bezboruah, A., Shepherdson, J.C.: Gödel's second incompleteness theorem forQ. J. Symb. Logic41, 503–512 (1976)

    Google Scholar 

  2. Hájek, P.: Positive results on fragments of arithmetic

  3. Hirschfeld, J., Wheeler, W.: Forcing, arithmetic, division rings (Lect. Notes Math. 454). Berlin, Heidelberg, New York: Springer 1975

    Google Scholar 

  4. Lessan, H.: Models of arithmetic. Ph.D. thesis, University of Manchester, 1978

  5. McAloon, K.: Completeness theorems, incompleteness theorems and models of arithmetic. Trans. Am. Math. Soc.239, 253–277 (1978)

    Google Scholar 

  6. Paris, J., Kirby, L.A.S.:ε n -Collection schemas in arithmetic. Logic Colloquium '77. Amsterdam: North-Holland, pp. 199–209, 1978

    Google Scholar 

  7. Kaye, R.: Parameter-free universal induction. Z. Math. Logik Grundlagen Math.

  8. Paris, J.: O struktuře modelů omezenéE 1-indukce. Časopis Pěstováni Mat.109, 372–379 (1984)

    Google Scholar 

  9. Wilmers, G.: Bounded existential induction. J. Symb. Logic50, 72–90 (1985)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Work on this paper was started in June 1987, while the author was visiting the University of Manchester on a British Council travel grant, and finished in the spring of 1988, while he was visiting UCLA. The author is grateful to R. Kaye, G. Wilmers and especially J. Paris for correspondence and discussions concerning this paper, and to his colleagues at UCLA for their hospitality; he also acknowledges helpful suggestions by the referees

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dimitracopoulos, C. Overspill and fragments of arithmetic. Arch Math Logic 28, 173–179 (1989). https://doi.org/10.1007/BF01622877

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01622877

Keywords

Navigation