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The ordered field of real numbers and logics with Malitz quantifiers1

Published online by Cambridge University Press:  12 March 2014

Andreas Rapp
Andreas Rapp*
Affiliation:
Mathematisches Institut, Albert-Ludwigs Universität, D-7800 Freiburg, West Germany
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Abstract

Let ℜ = (R, + R,…) be the ordered field of real numbers. It will be shown that the -theory of ℜ is decidable, where denotes the Malitz quantifier of order n in the ℵ1-interpretation.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 50 , Issue 2 , June 1985 , pp. 380 - 389
Copyright
Copyright © Association for Symbolic Logic 1985

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Footnotes

1

This paper contains a chapter of my doctoral dissertation completed at the University of Freiburg. I would like to express my gratitude to my supervisor, Professor Dr. H.-D. Ebbinghaus, for his support and encouragement.

References

REFERENCES

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