Hájek basic fuzzy logic and Łukasiewicz infinite-valued logic

Using the theory of BL-algebras, it is shown that a prepositional formula φ is derivable in Łukasiewicz infinite valued Logic if and only if its double negation ∼∼ φ is derivable in Hájek Basic Fuzzy logic. If SBL is the extension of Basic Logic by the axiom (φ & (φ ⇒ ∼ φ)) ⇒ ψ, then φ is deriva...

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Autores principales: Cignoli, R., Torrens, A.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09335846_v42_n4_p361_Cignoli
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