| D. G. Seese and M. Weese, Ehrenfeucht's game for stationary logic, unpublished notes, 1977. |
....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 determinate structures. The following definition we take from [10] ....
D. G. Seese and M. Weese, Ehrenfeucht's game for stationary logic, unpublished notes, 1977.
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