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On rational weak Nilpotent Minimum logics

AutorEsteva, Francesc ; Godo, Lluis ; Noguera, Carles
Palabras claveRational Pavelka logic
Gödel logic
Rational weak nilpotent minimum logic
Rational Gödel logic
Weak nilpotent minimum
Fecha de publicación2006
EditorOld City Publishing
CitaciónJournal of Multiple-Valued Logic and Soft Computing 12: 9- 32 (2006)
ResumenIn this paper we investigate extensions of 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. We also investigate the rational extensions of some parametric families of Weak Nilpotent Minimum logics, weaker than both Gödel and Nilpotent Minimum logics. Weak and strong standard completeness of these logics are studied in general and in particular when we restrict ourselves to formulas of the kind r̄ → φ, where r is a rational in [0, 1] and φ is a formula without rational truth-constants. © 2006 Old City Publishing, Inc.
URIhttp://hdl.handle.net/10261/160968
Identificadoresissn: 1542-3980
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