Interpretations of syntactic fragments of theories of fields
arxiv(2023)
摘要
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 ℚ.
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