Some recent developments in higher recursion theory

Journal of Symbolic Logic 48 (3):629-642 (1983)
In recent years higher recursion theory has experienced a deep interaction with other areas of logic, particularly set theory (fine structure, forcing, and combinatorics) and infinitary model theory. In this paper we wish to illustrate this interaction by surveying the progress that has been made in two areas: the global theory of the κ-degrees and the study of closure ordinals
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DOI 10.2307/2273455
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References found in this work BETA
The Fine Structure of the Constructible Hierarchy.R. Björn Jensen - 1972 - Annals of Mathematical Logic 4 (3):229-308.
Scott Sentences and Admissible Sets.Mark Nadel - 1974 - Annals of Mathematical Logic 7 (2-3):267-294.
Forcing with Tagged Trees.John R. Steel - 1978 - Annals of Mathematical Logic 15 (1):55-74.
Perfect-Set Forcing for Uncountable Cardinals.Akihiro Kanamori - 1980 - Annals of Mathematical Logic 19 (1-2):97-114.
Some Applications of Jensen's Coding Theorem.R. David - 1982 - Annals of Mathematical Logic 22 (2):177-196.

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Applications of Fodor's Lemma to Vaught's Conjecture.Mark Howard - 1989 - Annals of Pure and Applied Logic 42 (1):1-19.

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