**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, in:*
Reverse Mathematics 2001 *(Stephen Simpson, Ed.). Wellesley, MA: A K Peters; Urbana, IL: Association for Symbolic Logic (ASL) (ISBN 1-56881-263-9/hbk; 1-56881-264-7/pbk). Lecture Notes in Logic 21, 120-146 (2005)

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*, 138, No. 1-3, 31-51 (2006)

__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, in:* Computational prospects of infinity.* Part II: Presented talks. Selected papers of the workshop, June 20-August 15, 2005 (Chitat Chong, Qi Feng, Theodoare A. Slaman, W. Hugh Woodin and Yue Yang, Eds.). Hackensack, NJ: World Scientific (ISBN 978-981-279-654-7/hbk). Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 15, 47-57 (2008)

14. C. T. Chong, Andre Nies and Liang Yu, Higher randomness notions and their lowness properties, *Israel Journal of Mathematics*, 166, 39-60 (2008)

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*, 361 (2009), 4233-4245

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

19. C. T. Chong, Wei Wang and Liang Yu, The consistency strength of projective Martin's Conjecture, Fundamenta Mathematicae 207 (2010),
21--27

20. C. T. Chong, Steffen Lempp and Yue Yang, On the role of the collection principle for \Sigma^0_2 formulas in second order reverse mathematics,
Proceedings of the American Mathematical Society 138 (2010), 1093--1100

21. C. T. Chong and Theodore A. Slaman, The theory of $\alpha$-degrees is undecidable, *Israel J. Math.*,
189 (2010), 229--252

22. C. T. Chong, Theodore A Slaman and Yue Yang,
$\Pi^1_1$-conservation of combinatorial principles weaker than Ramsey's
theorem for pairs, *Advances in Mathematics*, 230 (2012), 1060--1077

23. C. T. Chong, Theodore A. Slaman and Yue Yang, The metamathematics of Stable Ramsey's Theorem for pairs, *Journal of the American Mathematical Society*, 27 (2014), 863--892.

24. C. T Chong and Liang Yu, Randomness in the higher setting, *Journal of Symbolic Logic* 80 (2015), 1131-1148

25. C. T. Chong, Wei Li and Yue Yang, Nonstandard models in recursion theory and reverse mathematics, *Bulletin of Symbolic Logic 20 (2014), 170-200*

26. C. T. Chong, Gordon Hoi, Frank Stephan and Daniel Turetsky, Partial functions and domination, *Logical Methods in Computer Science*, 11(2015), 1-16

27. C. T. Chong and Liang Yu, Measure-theoretic applications of higher Demuth randomness, *Transactions of the American Mathematical Society* 328 (2016), 8249-8265

28. C. T. Chong, Theodore A. Slaman and Yue Yang, The inductive strength of Ramsey's Theorem for pairs, *Advances in Mathematics* , 21 (2017), 121-141

29. C. T. Chong, $1$-generic degrees bounding minimal degrees revisited, *Computability and Complexity*, Lecture Notes in Compuer Science, Springer 2017, (Rod Downey Festschrift)

30. C. T. Chong, Liu Zhen Wu and Liang Yu, Basis theorems for $\Sigma^1_2$-sets, *Journal of Symbolic Logic*, to appear

31. C. T. Chong, Wei Li, Wei Wang and Yue Yang, On the computability of perfect subsets of sets of positive measure, *Proceedings of the American Mathematical Society*, to appear

32. C. T. Chong, Wei Li, Wei Wang and Yue Yang, On the strength of Ramsey's theorem for trees, *Preprint*