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Computable structures of rank omega₁^(CK)

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arxiv math/0508507 v1 pith:YKT6PAB2 submitted 2005-08-25 math.LO

Computable structures of rank omega₁^(CK)

classification math.LO
keywords computablerankstructureomegacallcodinggeneralgive
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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