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Index sets for classes of high rank structures

  • W. Calvert (a1), E. Fokina (a2), S. S. Goncharov (a3), J. F. Knight (a4), O. Kudinov (a5), A. S. Morozov (a6) and V. Puzarenko (a7)...
Abstract

This paper calculates, in a precise way. the complexity of the index sets for three classes of computable structures: the class of structures of Scott rank , the class , of structures of Scott rank , and the class K of all structures of non-computable Scott rank. We show that I(K) is m-complete is m-complete relative to Kleene's and is m-complete relative to .

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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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