Journal of Symbolic Logic

Henselianity and the Denef-Pas language

Yimu Yin

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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.

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J. Symbolic Logic, Volume 74, Issue 2 (2009), 655-664.

First available in Project Euclid: 2 June 2009

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Yin, Yimu. Henselianity and the Denef-Pas language. J. Symbolic Logic 74 (2009), no. 2, 655--664. doi:10.2178/jsl/1243948332.

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