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arXiv · 1111.1211

Categoricity Properties for Computable Algebraic Fields

Denis Hirschfeldt·Ken Kramer·Russell Miller·Alexandra Shlapentokh
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Abstract

We examine categoricity issues for computable algebraic fields. We give a structural criterion for relative computable categoricity of these fields, and use it to construct a field that is computably categorical, but not relatively computably categorical. Finally, we show that computable categoricity for this class of fields is $\Pi^0_4$-complete.

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BibTeXRIS

Denis Hirschfeldt, Ken Kramer, Russell Miller, Alexandra Shlapentokh. 2011-11-04. Categoricity Properties for Computable Algebraic Fields. https://arxiv.org/abs/1111.1211

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