Computable structures of rank omega_1^{CK}

Details Computable structures of rank omega_1^{CK} Computable structures of rank omega_1^{CK}

2005-08-25

arxiv.org/abs/math/0508507v1

Mathematics

Logic

13 pages, submitted to the Journal of Mathematical Logic Aug 2004

Scientific paper

We obtain a computable structure of Scott rank omega_1^{CK} (call this ock),
and give a general coding procedure that transforms any hyperarithmetical
structure A into a computable structure A' such that the rank of A is ock,
ock+1, or < ock iff the same is true of A'.

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