Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic
Logic
2019-01-08 v1
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.
Keywords
Cite
@article{arxiv.1901.01827,
title = {Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic},
author = {Guillermo Badia and Vicent Costa and Pilar Dellunde and Carles Noguera},
journal= {arXiv preprint arXiv:1901.01827},
year = {2019}
}