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Modest theory of short chains. I

Published online by Cambridge University Press:  12 March 2014

Yuri Gurevich*
Affiliation:
Ben-Gurion University, Beer-Sheva, Israel

Abstract

This is the first part of a two part work on the monadic theory of short orders (embedding neither ω1 nor ω1*. This part provides the technical groundwork for decidability results. Other applications are possible.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1979

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References

REFERENCES

[Bü]Büchi, J.R., On a decision method in restricted second order arithmetic, Proceedings of the 1960 International Congress for Logic, Methodology and Philosophy of Science, Stanford University Press, Stanford, California, 1962.Google Scholar
[CK]Chang, C.C. and Keisler, H.J., Model theory, North-Holland, Amsterdam, 1973.Google Scholar
[Eh]Ehrenfeucht, A., An application of games to the completeness problem for formalized theories, Fundamenta Mathematicae vol. 49 (1961), pp. 129141.CrossRefGoogle Scholar
[Gu]Gurevich, Y., Monadic theory of order and topology. I, Israel Journal of Mathematics, vol. 27 (1977), pp. 299319.CrossRefGoogle Scholar
[GS]Gurevich, Y. and Shelah, S., Modest theory of short chains. II, this Journal, vol. 44 (1979), pp. 491502.Google Scholar
[Lä]Läuchli, H., A decision procedure for the weak second order theory of linear order. Proceedings of 1966 Logic Colloquium, Hanover, North-Holland, Amsterdam, 1968.Google Scholar
[Ra]Rabin, M.O., Decidability of second order theories and automata on infinite trees, Transactions of the American Mathematical Society, vol. 141 (1969), pp. 135.Google Scholar
[Sh]Shelah, S., The monadic theory of order, Annals of Mathematics, vol. 102 (1975), pp. 379419.CrossRefGoogle Scholar