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References
REFERENCES
[Bu62]
[Bu62]Büchi, J. R., On a decision method in restricted second order arithmetic, Logic, Methodology and Philosophy of Science, Stanford University Press, 1962, pp. 1–11.Google Scholar
[BS73]
[BS73]Büchi, J. R. and Siefkes, D., The monadic second order theory of all countable ordinals, Lecture Notes in Mathematics, vol. 328, Springer, 1973.Google Scholar
[ER66]
[ER66]Elgot, C. and Rabin, M. O., Decidability and Undecidability of Extensions of Second (First) Order Theory of (Generalized) Successor, this Journal, vol. 31 (1966), no. 2, pp. 169–181.Google Scholar
[FV59]
[FV59]Feferman, S. and Vaught, R. L., The first order properties of products of algebraic systems. Fundamenta Mathematicae, vol. 47 (1959), pp. 57–103.CrossRefGoogle Scholar
[GMS83]
[GMS83]Gurevich, Y., Magidor, M., and Shelah, S., The monadic theory of ω2, this Journal, vol. 48 (1983), pp. 387–398.Google Scholar
[GS89]
[GS89]Gurevich, Y and Shelah, S., On the strength of the interpretation method, this Journal, vol. 54 (1989), pp. 305–323.Google Scholar
[LS97]
[LS97]Lifsches, S. and Shelah, S., Peano arithmetic may not be interpretable in the monadic theory of linear orders, this Journal, vol. 62 (1997), pp. 848–872.Google Scholar
[LS98]
[LS98]Lifsches, S. and Shelah, S., Uniformization and Skolem functions in the class of trees, this Journal, vol. 63 (1998), pp. 103–127.Google Scholar
[LS99]
[LS99]Lifsches, S. and Shelah, S., Random graphs in the monadic theory of order. Archive for Mathematical Logic, vol. 38 (1999), pp. 273–312.CrossRefGoogle Scholar
[Rab69]
[Rab69]Rabin, M. O., Decidability of second-order theories and automata on infinite trees, Transactions of the American Mathematical Society, vol. 141 (1969), pp. 1–35.Google Scholar
[Ro82]
[Ro82]Rosenstein, J. G., Linear orderings, Academic Press Inc., New York, 1982.Google Scholar
[Sh75]
[Sh75]Shelah, S., The monadic theory of order, Annals of Mathematics. Second Series, vol. 102 (1975), pp. 379–419.CrossRefGoogle Scholar