A.Blass, Complexity of winning strategies, Discrete Mathematics3 (1972), 295–300.
2.
C.T.Chong and L.Yu, Maximal chains in the Turing degrees, The Journal of Symbolic Logic72(4) (2007), 1219–1227.
3.
R.G.Downey and D.R.Hirschfeldt, Algorithmic Randomness and Complexity, Theory and Applications of Computability, Springer, New York, 2010.
4.
L.A.Harrington, Analytic determinacy and , The Journal of Symbolic Logic43(4) (1978), 685–693.
5.
L.A.Harrington and A.S.Kechris, A basis result for sets of reals with an application to minimal covers, Proceedings of the American Mathematical Society53(2) (1975), 445–448.
6.
C.G.JockuschJr. and R.I.Soare, classes and degrees of theories, Transactions of the American Mathematical Society173 (1972), 33–56.
7.
P.Koellner and W.H.Woodin, Large cardinals from determinacy, in: Handbook of Set Theory, M.Foreman and A.Kanamori, eds, Springer, Netherlands, 2010, pp. 1951–2119.
8.
M.Lerman, Degrees of Unsolvability, Perspectives in Mathematical Logic, Springer, Berlin, 1983.
9.
D.A.Martin, The axiom of determinateness and reduction principles in the analytical hierarchy, Bulletin of the American Mathematical Society74 (1968), 687–689.
10.
D.A.Martin and J.R.Steel, A proof of projective determinacy, Journal of the American Mathematical Society2(1) (1989), 71–125.
11.
J.S.Miller and L.Yu, On initial segment complexity and degrees of randomness, Transactions of the American Mathematical Society360(6) (2008), 3193–3210.
12.
A.Montalbán and R.Shore, The strength of Turing determinacy within second order arithmetic, Fundamenta Mathematicae, to appear.
13.
Y.N.Moschovakis, Descriptive Set Theory, 2nd edn, Mathematical Surveys and Monographs, Vol. 155, American Mathematical Society, Providence, RI, 2009.