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A Hyperimmune Minimal Degree and an ANR 2-Minimal Degree

Notre Dame Journal of Formal Logic 51 (4):443-455 (2010)

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A 2-minimal non-gl2 degree.Mingzhong Cai - 2010 - Journal of Mathematical Logic 10 (1):1-30.details We show that there is a non-GL2 degree which is a minimal cover of a minimal degree. This answers a question by Lerman. Logic and Philosophy of Logic Logic and Philosophy of Logic, Miscellaneous in Logic and Philosophy of Logic Model Theory in Logic and Philosophy of Logic Direct download (4 more) Export citation Bookmark 2 citations
Low level nondefinability results: Domination and recursive enumeration.Mingzhong Cai & Richard A. Shore - 2013 - Journal of Symbolic Logic 78 (3):1005-1024.details Logic and Philosophy of Logic Logic and Philosophy of Logic, Miscellaneous in Logic and Philosophy of Logic Direct download (3 more) Export citation Bookmark
2-Minimality, jump classes and a note on natural definability.Mingzhong Cai - 2014 - Annals of Pure and Applied Logic 165 (2):724-741.details We show that there is a generalized high degree which is a minimal cover of a minimal degree. This is the highest jump class one can reach by finite iterations of minimality. This result also answers an old question by Lerman. Areas of Mathematics in Philosophy of Mathematics Model Theory in Logic and Philosophy of Logic Science, Logic, and Mathematics Direct download (4 more) Export citation Bookmark

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