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arXiv · 2409.07156

Building Models of Determinacy from Below

Obrad Kasum·Grigor Sargsyan
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Abstract

We present an $L$-like construction that produces the minimal model of $\mathsf{AD}_\mathbb{R}+$"$\Theta$ is regular". In fact, our construction can produce any model of $\mathsf{AD}^++\mathsf{AD}_\mathbb{R}+V=L(P(\mathbb{R}))$ in which there is no hod mouse with a measurable limit of Woodins.

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Obrad Kasum, Grigor Sargsyan. 2024-09-11. Building Models of Determinacy from Below. https://arxiv.org/abs/2409.07156

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