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Shmuel Lifsches, S. Shelah (1997)
Peano arithmetic may not be interpretable in the monadic theory of linear ordersJournal of Symbolic Logic, 62
Y. Gurevich, S. Shelah (1982)
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(1985)
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Y. Gurevich, M. Magidor, S. Shelah (1983)
The monadic theory of ω2Journal of Symbolic Logic, 48
For every finite family Ū i : i < i * withŪ i ⊆ C, lg(Ū i ) = d there is an r-suitable E ⊆ C
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S. Shelah (1990)
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Y. Gurevich, S. Shelah (1983)
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Y. Gurevich, S. Shelah (1984)
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S. Shelah (1975)
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Y. Gurevich, S. Shelah (1989)
On the strength of the interpretation methodJournal of Symbolic Logic, 54
We continue the works of Gurevich-Shelah and Lifsches-Shelah by showing that it is consistent with ZFC that the first-order theory of random graphs is not interpretable in the monadic theory of all chains. It is provable from ZFC that the theory of random graphs is not interpretable in the monadic second order theory of short chains (hence, in the monadic theory of the real line).
Archive for Mathematical Logic – Springer Journals
Published: May 1, 1999
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