Model completeness for Henselian fields with finite ramification valued in a $Z$-group

We prove that the theory of a Henselian valued field of characteristic zero, with finite ramification, and whose value group is a $Z$-group, is model-complete in the language of rings if the theory of its residue field is model-complete in the language of rings. We apply this to prove that every inf...

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Bibliographic Details
Main Authors: Derakhshan, J, Macintyre, A
Format: Journal article
Published: Cornell University 2016