A Hierarchy of Cuts in Models of Arithmetic

, , , , &
Journal of Symbolic Logic 51 (4):1062-1066 (1986)
  Copy   BIBTEX

Abstract

This article has no associated abstract. (fix it)

Categories

Keywords

Reprint years

DOI

10.2307/2273919

Other Versions

original Wilkie, A. J. (1986) "J. B. Paris. A hierarchy of cuts in models of arithmetic. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 312–337. - George Mills. A tree analysis of unprovable combinatorial statements. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, pp. 248–311. - Jussi Ketonen and Robert Solovay. Rapidly growing Ramsey functions. Annals of mathematics, ser. 2 vol. 113 , pp. 267–314". Journal of Symbolic Logic 51(4):1062-1066
original Wilkie, A. J. (1986) "Review: J. B. Paris, L. Pacholski, J. Wierzejewski, A. J. Wilkie, A Hierarchy of Cuts in Models of Arithmetic; George Mills, A Tree Analysis of Unprovable Combinatorial Statements; Jussi Ketonen, Robert Solovay, Rapidly Growing Ramsey Functions". Journal of Symbolic Logic 51(4):1062-1066

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 100,061

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Angus Macintyre. Ramsey quantifiers in arithmetic. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 186–210. - James H. Schmerl and Stephen G. Simpson. On the role of Ramsey quantifiers in first order arithmetic. The journal of symbolic logic, vol. 47 , pp. 423–435. - Carl Morgenstern. On generalized quantifiers in arithmetic. The journal of symbolic logic, vol. 47 , pp. 187–190. [REVIEW]L. A. S. Kirby - 1985 - Journal of Symbolic Logic 50 (4):1078-1079.
Kirby L. A. S. and Paris J. B.. Initial segments of models of Peano's axioms. Set theory and hierarchy theory V, Bierutowice, Poland 1976, edited by Lachlan A., Srebrny M., and Zarach A., Lecture notes in mathematics, vol. 619, Springer-Verlag, Berlin, Heidelberg, and New York, 1977, pp. 211–226.Paris J. B.. Some independence results for Peano arithmetic. [REVIEW]Stephen G. Simpson - 1983 - Journal of Symbolic Logic 48 (2):482-483.
Joseph Becker and Leonard Lipshitz. Remarks on the elementary theories of formal and convergent power series. Fundament a mathematicae, vol. 105 , pp. 229–239. - Françoise Delon. Indécidabilité de la théorie des anneaux de séries formelles à plusiers indéterminées. Fundament a mathematicae, vol. 112 , pp. 215–229. - J. Becker, J. Denef, and L. Lipshitz. Further remarks on the elementary theory of formal power series rings. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 1–9. - Françoise Delon. Hensel fields in equal characteristic p > 0. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by. [REVIEW]S. Basarab - 1985 - Journal of Symbolic Logic 50 (3):853-854.
Angus Macintyre, Kenneth McKenna, and Lou van den Dries. Elimination of quantifiers in algebraic structures. Advances in mathematics, vol. 47 , pp. 74–87. - L. P. D. van den Dries. A linearly ordered ring whose theory admits elimination of quantifiers is a real closed field. Proceedings of the American Mathematical Society, vol. 79 , pp. 97–100. - Bruce I. Rose. Rings which admit elimination of quantifiers. The journal of symbolic logic, vol. 43 , pp. 92–112; Corrigendum, vol. 44 , pp. 109–110. - Chantal Berline. Rings which admit elimination of quantifiers. The journal of symbolic logic, vol. 43 , vol. 46 , pp. 56–58. - M. Boffa, A. Macintyre, and F. Point. The quantifier elimination problem for rings without nilpotent elements and for semi-simple rings. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture. [REVIEW]Gregory L. Cherlin - 1985 - Journal of Symbolic Logic 50 (4):1079-1080.

Analytics

Added to PP
n/a

Downloads
26 (#731,781)

6 months
3 (#1,449,818)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Jeffrey Paris
University of Manchester

Citations of this work

Transfinite induction within Peano arithmetic.Richard Sommer - 1995 - Annals of Pure and Applied Logic 76 (3):231-289.
Slow consistency.Sy-David Friedman, Michael Rathjen & Andreas Weiermann - 2013 - Annals of Pure and Applied Logic 164 (3):382-393.
Inductive Full Satisfaction Classes.Henryk Kotlarski & Zygmunt Ratajczyk - 1990 - Annals of Pure and Applied Logic 47 (1):199--223.
On Gödel incompleteness and finite combinatorics.Akihiro Kanamori & Kenneth McAloon - 1987 - Annals of Pure and Applied Logic 33 (C):23-41.
On me number of steps in proofs.Jan Krajíèek - 1989 - Annals of Pure and Applied Logic 41 (2):153-178.

View all 13 citations / Add more citations

References found in this work

No references found.

Add more references