Skip to main content
Log in

Some uses of dilators in combinatorial problems

Part III. Independence results by means of decreasingF-sequences (F Weakly Finite Dilator)

  • 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. Abrusci, V.M.: Dilators, generalized Goodstein sequences, independence results (A survey). In: Simpson, S.G. (ed.) Logic and combinatorics, pp. 1–23. Am. Math. Soc., 1987

  2. Abrusci, V.M., Girard, J.Y., Van de Wiele, J.: Some uses of dilators in combinatorial problems. Part I. In: Simpson, S.G. (ed.) Logic and combinatorics.pp. 25–53. Am. Math. Soc., 1987

  3. Girard, J.Y.:π 12 -logic. Part I: Dilators. Ann. Math. Logic21, 75–219 (1981)

    Google Scholar 

  4. Girard, J.Y.: Proof theory and logical complexity, Vol. I, Bibliopolis 1987

  5. Girard, J.Y., Vauzeilles, J.: A functorial construction of the Veblen hierarchy. J. Symb. Logic49, 713–729 (1984)

    Google Scholar 

  6. Kirby, L., Paris, J.: Accessible independence results for Peano Arithmetic. Bull Lond. Math. Soc.14, 285–293 (1982)

    Google Scholar 

  7. Paris, J., Harrington, L.: A mathematical incompleteness in Peano Arithmetic. In: Barwise, J. (ed.) Handbook of Mathematical Logic, pp. 1133–1142. North-Holland 1977

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abrusci, V.M. Some uses of dilators in combinatorial problems. Arch Math Logic 29, 85–109 (1989). https://doi.org/10.1007/BF01620619

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01620619

Keywords

Navigation