X. Caicedo, A back-and-forth characterization of elementary equivalence in stationary logic, preprint, 1977.

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Stationary Logic And Ordinals - Seese (1981)   (Correct)

....The class X of finitely determinate ordinals has the following properties. i) X is an initial segment of the ordinals (under G) ii) X has uncountable cofinality (if some ordinal is not in X) iii) w X. Hence by the results of Kaufmann each ordinal 0 is finitely determinate. Caicedo [6], Kaufmann [10] Makowsky [14] and Weese and the author [24] developed back and forth criteria to establish (L(aa) n) equivalence. A detailed investigation can be found in [10] There also determinate back and forth systems are introduced which are a useful tool to investigate finitely ....

X. Caicedo, A back-and-forth characterization of elementary equivalence in stationary logic, preprint, 1977.

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