Abstract
AbstractWe show that there is a first order sentence φ(x: a, b, l) such that for every computable partial order and -degree u > 0e, there are -enumeration degrees a ≤ u, b, and l such that . Allowing to be a suitably defined standard model of arithmetic gives a parameterized interpretation of true arithmetic in the -enumeration degrees. Finally we show that there is a first order sentence that correctly identifies a subset of the standard models, which gives a parameterless interpretation of true arithmetic in the -enumeration degrees.
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