Degree structures below 0'

• Main Author: Liu, Jiang
• Other Authors: Wu Guohua
• Format: Theses and Dissertations
• Language: English
• Published: 2010
• Subjects: DRNTU::Science::Mathematics::Mathematical logic
• Online Access: https://hdl.handle.net/10356/20921
• Institution: Nanyang Technological University

This thesis is concerned with various degree structures below 0', varying from Turing degrees to truth-table degrees, from computably enumerable degrees to ∆_2^0 degrees. In Chapter 1, we first provide a general introduction to the development of computability theory in the last few decades, a...