G(5, GAMES AND INDUCTION ON REALS

JOURNAL OF SYMBOLIC LOGIC（2021）

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摘要

It is shown that the determinacy of Gi, games of length w2 is equivalent to the existence of a transitive model of KP + AD + containing R. Here, III-MIio is the axiom asserting that every monotone Hi operator on the real numbers has an inductive fixpoint.

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关键词

determinacy, games on reals, inductive definitions

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