Title
Löwenheim-Skolem theorems for non-classical first-order algebraizable logics.
Abstract
This article is a contribution to the model theory of non-classical first-order predicate logics. In a wide framework of first-order systems based on algebraizable logics, we study several notions of homomorphisms between models and find suitable definitions of elementary homomorphism, elementary substructure and elementary equivalence. Then we obtain (downward and upward) Lowenheim-Skolem theorem...
Year
DOI
Venue
2016
10.1093/jigpal/jzw009
Logic Journal of the IGPL
Keywords
Field
DocType
Lowenheim-Skolem theorems,first-order predicate logics,non-classical logics,algebraizable logics,model theory
Discrete mathematics,Czech,First order,Algorithm,Model theory,Löwenheim–Skolem theorem,Mathematics
Journal
Volume
Issue
ISSN
24
3
1367-0751
Citations 
PageRank 
References 
5
0.46
10
Authors
3
Name
Order
Citations
PageRank
Pilar Dellunde115622.63
Àngel García-Cerdaña27110.05
Carles Noguera346233.93