Witnessed Models

On elementary equivalence in Fuzzy Predicate Logics

Publication Type:

Journal Article

Authors:

Pilar Dellunde; Francesc Esteva

Source:

Archive for Mathematical Logic, Springer-Verlag (In Press)

Keywords:

Mathematical Logic and Foundations; Model Theory; Fuzzy Predicate Logics; Elementary Extensions; Witnessed Models; Quasi-witnessed Models

Abstract:

Our work is a contribution to the model theory of fuzzy predicate logics. In
this paper we characterize elementary equivalence between models of fuzzy predicate
logic using elementary mappings. Re ning the method of diagrams we give a solution
to an open problem of P. Hajek and P. Cintula (Conjectures 1 and 2 of [HaCi06]).
We investigate also the properties of elementary extensions in witnessed and quasiwitnessed
theories, generalizing some results of Section 7 of [HaCi06] and of Section 4
of [CeEs11] to non-exhaustive models.

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