Czechoslovak Mathematical Journal, Vol. 58, No. 1, pp. 15-21, 2008

The axioms for implication in orthologic

Ivan Chajda

Ivan Chajda, Department of Algebra and Geometry, Palacky University Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic, e-mail: chajda@inf.upol.cz

Abstract: We set up axioms characterizing logical connective implication in a logic derived by an ortholattice. It is a natural generalization of an orthoimplication algebra given by J. C. Abbott for a logic derived by an orthomodular lattice.

Keywords: ortholattice, orthoimplication, orthologic

Classification (MSC 2000): 06C15, 03G12, 03G25


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