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Beatty sequences and the arithmetical hierarchy

Published online by Cambridge University Press:  30 March 2017

Mojtaba Moniri
Affiliation:
Tarbiat Modares University, Tehran
Ali Enayat
Affiliation:
American University, Washington DC
Iraj Kalantari
Affiliation:
Western Illinois University
Mojtaba Moniri
Affiliation:
Tarbiat Modares University, Tehran, Iran
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Logic in Tehran , pp. 126 - 133
Publisher: Cambridge University Press
Print publication year: 2006

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References

[A] P., Arnoux, Sturmian sequences,Substitutions in Dynamics, Arithmetics and Combinatorics (V., Berthé et al., editors), Lecture Notes in Mathematics, vol. 1794, Springer, Berlin, 2002, pp. 143–198.
[H] G., Harman, Metric Number Theory, The Clarendon Press Oxford University Press, New York, 1998.
[K] R., Kaye, Models of Peano Arithmetic, The Clarendon Press Oxford University Press, New York, 1991.
[N] I., Niven, Diophantine Approximations, Interscience Publishers, a division of John Wiley & Sons, New York, 1963.
[R] R. M., Robinson, Review of rekursive funktionen by R. Péter,The Journal of Symbolic Logic, vol. 16 (1951), pp. 280–282.Google Scholar
[S] R. I., Soare, Recursively Enumerable Sets and Degrees, Perspectives inMathematical Logic, Springer-Verlag, Berlin, 1987.
[ZW] X., Zheng and K., Weihrauch, The arithmetical hierarchy of real numbers,Mathematical Logic Quarterly, vol. 47 (2001), no. 1, pp. 51–65.Google Scholar

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