A New Spectrum of Recursive Models

Notre Dame Journal of Formal Logic 40 (3):307-314 (1999)
Abstract
We describe a strongly minimal theory S in an effective language such that, in the chain of countable models of S, only the second model has a computable presentation. Thus there is a spectrum of an -categorical theory which is neither upward nor downward closed. We also give an upper bound on the complexity of spectra
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DOI 10.1305/ndjfl/1022615611
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