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arXiv · 1901.01827

Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic

Guillermo Badia·Vicent Costa·Pilar Dellunde·Carles Noguera
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Abstract

This paper is a contribution to graded model theory, in the context of mathematical fuzzy logic. We study characterizations of classes of graded structures in terms of the syntactic form of their first-order axiomatization. We focus on classes given by universal and universal-existential sentences. In particular, we prove two amalgamation results using the technique of diagrams in the setting of structures valued on a finite MTL-algebra, from which analogues of the Los--Tarski and the Chang--Los--Suszko preservation theorems follow.

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Guillermo Badia, Vicent Costa, Pilar Dellunde, Carles Noguera. 2018-12-16. Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic. https://arxiv.org/abs/1901.01827

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