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  • Induction, Bounding, Weak Combinatorial Principles, and the Homogeneous Model Theorem

Induction, Bounding, Weak Combinatorial Principles, and the Homogeneous Model Theorem

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The authors show that HMT and AMT are indeed equivalent in the sense of reverse mathematics, as well as in a strong computability theoretic sense and do the same for an analogous result of Peretyat'kin giving necessary and sufficient conditions for when a set of types is the type spectrum of some model.
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