1983•Journal of Symbolic LogicRequires access

Some recent developments in higher recursion theory

Sy D. Friedman

Abstract

Abstract 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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Key concepts: Recursion (computer science), Forcing (mathematics), Closure (psychology), Set theory, Model theory, Mathematics, Computability theory, Set (abstract data type)