Interpretations of syntactic fragments of theories of fields

Sylvy Anscombe; Arno Fehm

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arXiv · 2312.17616

Interpretations of syntactic fragments of theories of fields

Sylvy Anscombe·Arno Fehm

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Abstract

We set up general machinery to study interpretations of fragments of theories. We then apply this to existential fragments of theories of fields, and especially of henselian valued fields. As an application we prove many-one reductions between various existential theories of fields. In particular we exhibit several theories of fields many-one equivalent to the existential theory of $\mathbb{Q}$.

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BibTeX RIS

Sylvy Anscombe, Arno Fehm. 2023-12-29. Interpretations of syntactic fragments of theories of fields. https://arxiv.org/abs/2312.17616

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