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Henselianity and the Denef-Pas Language
The Journal of Symbolic Logic
Vol. 74, No. 2 (Jun., 2009), pp. 655-664
Published by: Association for Symbolic Logic
Stable URL: http://www.jstor.org/stable/40378084
Page Count: 10
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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.
The Journal of Symbolic Logic © 2009 Association for Symbolic Logic