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Global inductive definability1

Published online by Cambridge University Press:  12 March 2014

Jon Barwise  and
Yiannis N. Moschovakis
Jon Barwise
Affiliation:
University of Wisconsin, Madison, Wisconsin 53706
Yiannis N. Moschovakis
Affiliation:
University of California, Los Angeles, California 94720
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Abstract

We show that several theorems on ordinal bounds in different parts of logic are simple consequences of a basic result in the theory of global inductive definitions.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 43 , Issue 3 , September 1978 , pp. 521 - 534
Copyright
Copyright © Association for Symbolic Logic 1978

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Footnotes

1

The preparation of this paper was partially supported by Grant NSF-MCS 76-06541.

References

REFERENCES

Barwise, Jon [1974], Axioms for abstract model theory, Annals of Mathematical Logic, vol. 7, pp. 221–265.CrossRefGoogle Scholar
Barwise, Jon [1975], Admissible sets and structures, Springer-Verlag, Berlin and New York.CrossRefGoogle Scholar
Barwise, J., Gandy, R. O. and Moschovakis, Y. N. [1971], The next admissible set, this Journal, vol. 36, pp. 108–120.Google Scholar
Chang, C. C. and Keisler, H. J. [1973], Model theory, North-Holland, Amsterdam.Google Scholar
Eklof, P. and Sabbagh, G. [1971], Definability problems for modules and rings, this Journal, vol. 36, pp. 623–649.Google Scholar
Jacobson, N. [1945], The radical and semi-simplicity for arbitrary rings, American Journal of Mathematics, vol. 67, pp. 300–320.CrossRefGoogle Scholar
Jategaonkar, A. V. [1969], A counter-example in ring theory and homological algebra, Journal of Algebra, vol. 12, pp. 418–440.CrossRefGoogle Scholar
Moschovakis, Y. N. [1974], Elementary induction on abstract structures, North-Holland, Amsterdam.Google Scholar
Sacks, G. [1972], Saturated model theory, Benjamin, New York.Google Scholar
Sacks, G. [to appear], Effective bounds on Morley rank.Google Scholar