Mustafa Manat

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Let a be a Kleene’s ordinal notation of a nonzero computable ordinal. We give a sufficient condition on a, so that for every Σ−1 a -computable family of two embedded sets, i.e., two sets A,B, with A properly contained in B, the Rogers semilattice of the family is infinite. This condition is satisfied by every notation of ω; moreover every nonzero computable(More)
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