The ∀∃-theory of the effectively closed Medvedev degrees is decidable
Author:
Publisher
Springer Science and Business Media LLC
Subject
Logic,Philosophy
Link
http://link.springer.com/content/pdf/10.1007/s00153-009-0150-6.pdf
Reference11 articles.
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2. Cenzer, D.: $${\Pi_1^0}$$ Classes in computability theory. In: Griffor, E. (ed.) Handbook of Computability, vol. 140, pp. 37–85. North Holland Studies in Logic (1999)
3. Cenzer D., Hinman P.G.: Density of the Medvedev lattice of $${\Pi^0_1}$$ classes. Arch. Math. Logic 42, linebreak 583–600 (2003)
4. Cenzer, D., Remmel, J.B.: $${\Pi^0_1}$$ Classes in mathematics. In: Handbook of Recursive Mathematics, vol. 2. Stud. Logic Found. Math. 139, 623–821. Elsevier (1998)
5. Lempp S., Nies A., Slaman T.A.: The Π3-theory of the computably enumerable Turing degrees is undecidable. Trans. Am. Math. Soc. 350, 2719–2736 (1998)
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1. Inside the Muchnik degrees II: The degree structures induced by the arithmetical hierarchy of countably continuous functions;Annals of Pure and Applied Logic;2014-06
2. Inside the Muchnik degrees I: Discontinuity, learnability and constructivism;Annals of Pure and Applied Logic;2014-05
3. A Survey of Mučnik and Medvedev Degrees;The Bulletin of Symbolic Logic;2012-06
4. Coding true arithmetic in the Medvedev degrees of Π10 classes;Annals of Pure and Applied Logic;2012-03
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