The aim of this paper is to show that certain geometric methods - originally developed for investigating Lukasiewicz many-valued logics - may be profitably applied to the study of classes of partially ordered residuated. monoids. We substantiate this claim by characterizing all free Wajsberg hoops in terms of McNaughton functions over the n-cube, and by giving complete axiomatizations for all varieties of Wajsberg hoops.
Agliano', P., Panti, G. (2002). Geometrical methods in Wajsberg hoops. JOURNAL OF ALGEBRA, 256(2), 352-374 [10.1016/S0021-8693(02)00085-6].
Geometrical methods in Wajsberg hoops
AGLIANO', PAOLO;
2002-01-01
Abstract
The aim of this paper is to show that certain geometric methods - originally developed for investigating Lukasiewicz many-valued logics - may be profitably applied to the study of classes of partially ordered residuated. monoids. We substantiate this claim by characterizing all free Wajsberg hoops in terms of McNaughton functions over the n-cube, and by giving complete axiomatizations for all varieties of Wajsberg hoops.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11365/1014117