Maximality of linear continuous logic

Mathematical Logic Quarterly 64 (3):185-191 (2018)
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Abstract

The linear compactness theorem is a variant of the compactness theorem holding for linear formulas. We show that the linear fragment of continuous logic is maximal with respect to the linear compactness theorem and the linear elementary chain property. We also characterize linear formulas as those preserved by the ultramean construction.

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References found in this work

Omitting uncountable types and the strength of [0,1]-valued logics.Xavier Caicedo & José N. Iovino - 2014 - Annals of Pure and Applied Logic 165 (6):1169-1200.
Linear model theory for Lipschitz structures.Seyed-Mohammad Bagheri - 2014 - Archive for Mathematical Logic 53 (7-8):897-927.
On the maximality of logics with approximations.José Iovino - 2001 - Journal of Symbolic Logic 66 (4):1909-1918.
On the maximality of logics with approximations.José Iovino - 2001 - Journal of Symbolic Logic 66 (4):1909-1918.

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