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Transactions of the American Mathematical Society

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A two-cardinal theorem for homogeneous sets and the elimination of Malitz quantifiers


Authors: Philipp Rothmaler and Peter Tuschik
Journal: Trans. Amer. Math. Soc. 269 (1982), 273-283
MSC: Primary 03C80; Secondary 03C10
DOI: https://doi.org/10.1090/S0002-9947-1982-0637038-9
MathSciNet review: 637038
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Abstract: Sufficient conditions for the eliminability of Malitz quantifiers in a complete first order theory are given. Proving that certain superstable and not $ \omega $-stable theories satisfy these conditions, a question of Baldwin and Kueker is answered negatively.


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DOI: https://doi.org/10.1090/S0002-9947-1982-0637038-9
Keywords: Elimination of generalized quantifiers, first order theories, f.c.p., two cardinal theorem, stability, categoricity, finite axiomatizability
Article copyright: © Copyright 1982 American Mathematical Society

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