Truncation in Hahn Fields is Undecidable and Wild

Published 12 Jun 2017 in math.LO | (1706.03722v1)

Abstract: We show that in any nontrivial Hahn field with truncation as a primitive operation we can interpret the monadic second-order logic of the additive monoid of natural numbers and are thus undecidable. We also specify a definable binary relation on such a structure that has $\SOP$ and $\TP$.

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Authors (1)

Santiago Camacho

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