Title
Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic.
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 Łoś-Tarski and the Chang-Łoś-Suszko preservation theorems follow.
Year
DOI
Venue
2019
10.1007/s00500-019-03850-6
Soft Comput.
Keywords
Field
DocType
Amalgamation theorems,Graded model theory,Mathematical fuzzy logic,Preservation theorems,Universal classes,Universal-existential classes
Computer science,First order,Fuzzy logic,Theoretical computer science,Model theory,Syntax
Journal
Volume
Issue
ISSN
23
7
1432-7643
Citations 
PageRank 
References 
1
0.35
10
Authors
4
Name
Order
Citations
PageRank
guillermo badia155.53
Vicent Costa272.55
Pilar Dellunde315622.63
Carles Noguera446233.93