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Semisimplicity, EDPC and discriminator varieties of residuated lattices
Studia Logica 77 (2):255 - 265 (2004)
Abstract
We prove that all semisimple varieties of FL ew-algebras are discriminator varieties. A characterisation of discriminator and EDPC varieties of FL ew-algebras follows. It matches exactly a natural classification of logics over FL ew proposed by H. Ono.Author's Profile
DOI
10.1023/b:stud.0000037129.58589.0c
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Citations of this work
On a Logico-Algebraic Approach to AGM Belief Contraction Theory.D. Fazio & M. Pra Baldi - 2021 - Journal of Philosophical Logic 50 (5):911-938.
Logics without the contraction rule and residuated lattices.Hiroakira Ono - 2011 - Australasian Journal of Logic 8:50-81.
Semisimple Varieties of Modal Algebras.Tomasz Kowalski & Marcus Kracht - 2006 - Studia Logica 83 (1-3):351-363.
Inconsistency lemmas in algebraic logic.James G. Raftery - 2013 - Mathematical Logic Quarterly 59 (6):393-406.
On n -contractive fuzzy logics.Rostislav Horčík, Carles Noguera & Milan Petrík - 2007 - Mathematical Logic Quarterly 53 (3):268-288.
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