Biinterpretability up to double jump in the degrees
نویسنده
چکیده
We prove that, for every z 00 with z00 > 000 (i.e. z 2 L2), the structure D( z) of the Turing degrees below x is biinterpretable with rst order arithmetic up to double jump. As a corollary, every relation on D( z) which is invariant under double jump is de nable in D( z) if and only if it is de nable in arithmetic.
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