List of Recent Publications

1. C. T. Chong and Yue Yang, $\Sigma_2$ induction and infinite injury priority arguments. Part I: Maximal sets and the jump operator. J. Symbolic Logic, 63 (1998), 797-814

2. C. T. Chong and Yue Yang, $\Sigma_2$ induction and infinite injury priority arguments. Part II: Tame $\Sigma_2$ coding and the jump operator. Annals of Pure and Applied Logic 87 (1997), 103-116

3. C. T. Chong and Yue Yang, Recursion theory in weak fragments of arithmetic: A study of cuts. In: Proc. Sixth Asian Logic Conference, Beijing, pp. 47-65, World Scientific, 1998

4. C. T. Chong and Sy D. Friedman, Ordinal recursion theory, in: Handbook of Computability Theory, pp. 277-300, Studies in Logic and Foundations of Mathematics, Elsevier, 1999

5. C. T. Chong, L. Qian and Yue Yang, The Friedberg Jump Inversion Theorem revisited: A study of undefinable cuts, in: Logic Colloquium 98, pp. 140-153, Association for Symbolic Logic, 2000

6. C. T. Chong and Yue Yang, Computability theory in arithmetic: Provability, structure and techniques, in: Computability Theory and Its Applications, pp. 73-81, Contemporary Math. 257, Amer. Math. Soc., 2000

7. C. T. Chong, L. Qian. T. A. Slaman and Yue Yang, $\Sigma_2$ induction and infinite injury priority arguments. Part III: Prompt sets, minimal pairs and Shoenfields conjecture, Israel J. Math. 121 (2001), 1-28

8. C. T. Chong, R. A. Shore and Yue Yang, Interpreting arithmetic in models of $\Sigma_4$ induction, Lecture Notes in Logic, 2005, to appear

9. M. M. Arslanov, C. T. Chong,  S. B. Cooper and Yue Yang, The Minimal E-degree Problem in Fragments of Peano Arithmetic, Annals of Pure and Applied Logic 131 (2005), 159-175

10. C. T. Chong, Ansheng Li and Yue Yang, The existence of high nonbounding degrees in the difference hierarchy, Annals of Pure and Applied Logic, to appear

11. C. T. Chong, Ansheng Li and Yue Yang, The difference hierarchy in models of $\De;ta_1$ induction

12. C. T. Chong and Yue Yang, The jump of a $\Sigma\sb n$-cut, J. Lond. Math. Soc. (2) 75 (2007), no.3, 690--704. 03D20 (03F30 03H15)

13. C. T. Chong, Nonstandard methods in Ramsey's Theorem for pairs

14. C. T. Chong, Andre Nies and Liang Yu, Higher randomness notions and their lowness properties, Israel Journal of Mathematics, to appear

15. C. T. Chong and Liang Yu, Maximal chains in the Turing degrees, J. Symbolic Logic 72 (2007), no. 4, 1219--1227. 03D28 (03E25 03E35 03E45)

16. C. T. Chong and Liang Yu, Thin Pi^1_1 maximal antichains in the Turing degrees, in: Barry S Cooper, Benedikt Lowe and Andrea Sorbi (Editors), CIE 2007, Springer Lecture Notes in Computer Science Vol. 1497, pp. 162--168, 2007.

17. C. T. Chong and Liang Yu, A$\Pi^1_1$ uniformization principle for reals, Transactions of American Mathematical Society, to appear

18. C. T. Chong and Theodore A. Slaman, The theory of $\alpha$-degrees is undecidable

19. C. T. Chong and Wei Wang, Hyperimmune free degrees beyond $\omega$