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Preprint Number 857
857. Immanuel Halupczok and Franziska Jahnke
A definable henselian valuation with high quantifier complexity
We give an example of a parameter-free definable henselian valuation ring which is neither definable by a parameter-free ∀∃-formula nor by a parameter-free ∃∀-formula in the language of rings. This answers a question of Prestel.
Mathematics Subject Classification: Primary: 03C40, 12L12. Secondary: 12E30, 13J15
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