Recursion-Theoretic Hierarchies (Hardcover)

Introduction; Part I. Basic Notations of Definability: 1. Groundwork; 2. Ordinary recursion theory; 3. Hierarchies and definability; Part II. The Analytical and Projective Hierarchies: 4. The first level; 5. Δ^1_2 and beyond; Part III. Generalized Recursion Theories: 6. Recursion in a type-2 functional; 7. Recursion in a type-3 functional; 8. Recursion on ordinals; Epilogue; References; Global notational conventions; Special notations; Index.