On Generalized I-Algebras and 4-valued Modal Algebras

Details On Generalized I-Algebras and 4-valued Modal Algebras On Generalized I-Algebras and 4-valued Modal Algebras

2012-03-27

arxiv.org/abs/1203.6056v1

Rep. Math. Logic No. 29 (1995), 3-18 (1996)

Mathematics

Logic

Scientific paper

In this paper we establish a new characterization of 4-valued modal algebras considered by A. Monteiro. In order to obtain this characterization we introduce a new class of algebras named generalized I-algebras. This class contains strictly the class of C-algebras defined by Y. Komori as an algebraic counterpart of the infinite-valued implicative Lukasiewicz propositional calculus. On the other hand, the relationship between I-algebras and conmutative BCK-algebras, defined by S. Tanaka in 1975, allows us to say that in a certain sense G-algebras are also a generalization of these latter algebras

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