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On elementary equivalence in fuzzy predicate logics
Dellunde i Clavé, Pilar (Universitat Autònoma de Barcelona)
Esteva Massaguer, Francesc (Institut d'Investigació en Intel·ligència Artificial)

Data: 2013
Resum: 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. Refining the method of diagrams we give a solution to an open problem of Hájek and Cintula (J Symb Log 71(3):863–880, 2006, Conjectures 1 and 2). We investigate also the properties of elementary extensions in witnessed and quasi-witnessed theories, generalizing some results of Section 7 of Hájek and Cintula (J Symb Log 71(3):863–880, 2006) and of Section 4 of Cerami and Esteva (Arch Math Log 50(5/6):625–641, 2011) to non-exhaustive models.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; recerca ; submittedVersion
Matèria: Mathematical logic and foundations ; Model theory ; Fuzzy predicate logics ; Elementary extensions ; Witnessed models ; Quasi-witnessed models
Publicat a: Archive for Mathematical Logic, Vol. 52, núm. 1 (2013) , p. 1-17, ISSN 0933-5846

DOI: doi:10.1007/978-3-642-14049-5_76

18 p, 190.1 KB

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