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THE COMPUTATIONAL CONTENT OF INTRINSIC DENSITY

THE COMPUTATIONAL CONTENT OF INTRINSIC DENSITY

Abstract In a previous article, the author introduced the idea of intrinsic density—a restriction of asymptotic density to sets whose density is invariant under computable permutation. We prove that sets with well-defined intrinsic density (and particularly intrinsic density 0) exist only in Turing degrees that are either high ( ${\bf{a}}\prime …