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Henselianity and the Denef-Pas language

Published online by Cambridge University Press:  12 March 2014

Yimu Yin
Yimu Yin*
Affiliation:
Department of Philosophy, Carnegie Mellon University, Pittsburgh, Pa 15213, USA, E-mail: yimuy@andrew.cmu.edu
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Abstract

We prove that if an equicharacteristic valued field has a ℤ-group as its value group and admits quantifier elimination in the main sort of the prototypical Denef-Pas style language then it is henselian. In fact the proof of this suggests that a reasonable class of Denef-Pas style languages is natural with respect to henselianity.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 74 , Issue 2 , June 2009 , pp. 655 - 664
Copyright
Copyright © Association for Symbolic Logic 2009

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References

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