Title
Saturated Models in Mathematical Fuzzy Logic
Abstract
This paper considers the problem of building saturated models for first-order graded logics. We define types as pairs of sets of formulas in one free variable which express properties that an element is expected, respectively, to satisfy and to falsify. We show, by means of an elementary chains construction, that each model can be elementarily extended to a saturated model where as many types as possible are realized. In order to prove this theorem we obtain, as by-products, some results on tableaux (understood as pairs of sets of formulas) and their consistency and satisfiability, and a generalization of the Tarski--Vaught theorem on unions of elementary chains.
Year
DOI
Venue
2018
10.1109/ISMVL.2018.00034
2018 IEEE 48th International Symposium on Multiple-Valued Logic (ISMVL)
Keywords
Field
DocType
mathematical fuzzy logic,first order graded logics,uninorms,residuated lattices,logic UL,types,saturated models,elementary chains
Saturated model,Discrete mathematics,Lattice (order),Algebra,Computer science,Fuzzy logic,Satisfiability,Semantics
Conference
ISSN
ISBN
Citations 
0195-623X
978-1-5386-4465-2
1
PageRank 
References 
Authors
0.37
3
2
Name
Order
Citations
PageRank
guillermo badia155.53
Carles Noguera246233.93