Higher Solovay Models

Fuente: arXiv
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Hauptverfasser: Straffelini, Cesare, Thei, Sebastiano
Format: Preprint
Veröffentlicht: 2025
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author Straffelini, Cesare
Thei, Sebastiano
author_facet Straffelini, Cesare
Thei, Sebastiano
contents We introduce an axiomatisation of when a model of the form $L(V_{κ+1})^M$ can be considered a ``$κ$-Solovay model''; we show a characterisation of $κ$-Solovay models; and we prove elementary equivalences between $κ$-Solovay models.
format Preprint
id arxiv_https___arxiv_org_abs_2507_19129
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Higher Solovay Models
Straffelini, Cesare
Thei, Sebastiano
Logic
03E45, 03E55, 03E15, 03E35
We introduce an axiomatisation of when a model of the form $L(V_{κ+1})^M$ can be considered a ``$κ$-Solovay model''; we show a characterisation of $κ$-Solovay models; and we prove elementary equivalences between $κ$-Solovay models.
title Higher Solovay Models
topic Logic
03E45, 03E55, 03E15, 03E35
url https://arxiv.org/abs/2507.19129