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Comptes Rendus. Mathématique
Mathematical logic
Quantifier elimination for quasi-real closed fields
Mickaël Matusinski1; Simon Müller2 
1 Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France
2 Universität Konstanz, 78467 Konstanz, Germany
Comptes Rendus. Mathématique, Volume 359 (2021) no. 3, pp. 291-295.

We prove quantifier elimination for the theory of quasi-real closed fields with a compatible valuation. This unifies the same known results for algebraically closed valued fields and real closed valued fields.

Nous prouvons l’élimination des quantificateurs pour la théorie des corps quasi-réels clos munis d’une valuation compatible. Cela reprend et unifie les mêmes résultats connus pour les corps algébriquement clos et les corps réels clos.

Received:
Accepted:
Published online:
DOI: 10.5802/crmath.169
Classification: 03C10,  03C64,  12J10,  12J15,  12L12
Mickaël Matusinski 1; Simon Müller 2

1 Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France
2 Universität Konstanz, 78467 Konstanz, Germany
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Mickaël Matusinski; Simon Müller. Quantifier elimination for quasi-real closed fields. Comptes Rendus. Mathématique, Volume 359 (2021) no. 3, pp. 291-295. doi : 10.5802/crmath.169. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.169/

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