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Almost complemented Π01 classes

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Abstract

We explore an analogue of major subset for Π01 classes, which leads to the definition and characterization of almost complemented Π01 classes.

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References

  1. Cenzer, D., Jockusch, C.: Π01 classes–structure and applications. In Computability theory and its applications (Boulder, CO, 1999), Contemp. Math. 257, Amer. Math. Soc. Providence, RI, 2000 pp 39–59

  2. Cholak, P., Coles, R., Downey, R., Herrmann, E.: Automorphisms of the lattice of Π01 classes. Trans. Amer. Math. Soci. 353, 4899–4924 (electronic) (2001)

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  3. Lachlan, A.H.: The elementary theory of recursively enumerable sets. Duke Math. Jour. 35, 123–146 (1968)

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Authors and Affiliations

  1. Division of Science and Mathematics, McKendree College, 701 College Road, Lebanon, IL, 62254, USA

    Linda Lawton

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  1. Linda Lawton
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Based on a portion of the author's Ph. D. dissertation

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Lawton, L. Almost complemented Π01 classes. Arch. Math. Logic 45, 555–568 (2006). https://doi.org/10.1007/s00153-005-0293-z

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  • DOI: https://doi.org/10.1007/s00153-005-0293-z

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