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Title

First order SMTL logic and quasi-witnessed models

AuthorsCerami, Marco; Esteva, Francesc
KeywordsFoundations of fuzzy logic
Mathematical fuzzy logic
First order monoidal t-norm based logic
First order product logic
Witnessed and quasiwitnessed models
Issue Date2010
CitationESTYLF 2010
AbstractIn this paper we prove strong completeness of axiomatic extensions of First Order SMTL logic adding the so-called quasi-witnessed axioms with respect to quasi-witnessed Models. In order to achieve this result, we make use of methods that are typical of Classical Predicate Logic, and have been later generalized by P. H ajek to cope with Predicate Fuzzy Logic. At the end of the paper, we obtain, as a particular case, the result of strong completeness, already proven by M.C. Laskowski and S. Malekpour, for Product Predicate Logic with respect to quasi-witnessed Models.
Description6 páginas.-- Trabajo presentado al XV Congreso Español sobre Tecnologías y Lógica Fuzzy.
URIhttp://hdl.handle.net/10261/39469
Appears in Collections:(IIIA) Comunicaciones congresos
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