Table of Contents

Contents: Hyperarithmetic Sets: Constructive Ordinals and Sets. The Hyperarithmetic Hierarchy. Predicates of Reals. Measure and Forcing.- Metarecursion: Metarecursive Enumerability. Hyperregularity and Priority.- -Recursion: Admissibility and Regularity. Priority Arguments. Splitting, Density and Beyond.- E-Recursion: E-closed Structures.- Forcing Computations to Converge.- Selection and k-Sections.- E-Recursively Enumerable Degrees.- Bibliography.- Subject Index.