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arXiv · 2507.19129

Higher Solovay Models

Cesare Straffelini·Sebastiano Thei
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Abstract

We introduce an axiomatisation of when a model of the form $L(V_{\kappa+1})^M$ can be considered a ``$\kappa$-Solovay model''; we show a characterisation of $\kappa$-Solovay models; and we prove elementary equivalences between $\kappa$-Solovay models.

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Cesare Straffelini, Sebastiano Thei. 2025-07-25. Higher Solovay Models. https://arxiv.org/abs/2507.19129

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