Publications

On rational weak nilponent minimum logics

Publication Type:

Conference Paper

Authors:

Francesc Esteva; Lluís Godo; Carles Noguera

Source:

Actas del XII congreso español sobre tecnologías y lógica fuzzy, aDemanda, p.413-418 (2004)

Abstract:

In this paper we investigate some extensions of weak nilpotent minimum logic, a weaker logic than both gödel and nilpotent minimum logics, by adding rational truth-values as truth constants in the language and by adding corresponding book-keeping, axioms for the truth-constants. Weak and strong standard completeness of these logics are studied in general and when we restrict our selves to formulas of the kind ???, where r is a rational in [0,1] and ? is a formula without rational truth-constants.

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