Angsheng Li: Priority Arguments I, II, and III. I. Basic constructions of finite, infinite, and 0'''-priority tree construction This talk is on finite injury, novel infinite injury, and basic 0''' arguments. II. Advanced 0'''-priority tree constructions This is on nonsplitting constructions. III. Local Turing degrees The new features of non-c.e. degrees, and the power of the priority arguments in the non-c.e. area. ------------------------------------------------------------- Institute of Software Chinese Academy of Sciences P.O. Box 8718, Beijing, 100080 P.R. CHINA Email: angsheng@gcl.iscas.ac.cn, angsheng.li@yahoo.com Phone: 86-10-82625471 (O), 86-10-82522687 (H) Fax: 86-10-62562533 Web: http://gcl.iscas.ac.cn/li -------------------------------------------------------------