Three-element nonfinitely axiomatizable matrices

Studia Logica 53 (3):361 - 372 (1994)
There are exactly two nonfinitely axiomatizable algebraic matrices with one binary connective o such thatx(yz) is a tautology of . This answers a question asked by W. Rautenberg in [2], P. Wojtylak in [8] and W. Dziobiak in [1]. Since every 2-element matrix can be finitely axiomatized ([3]), the matrices presented here are of the smallest possible size and in some sense are the simplest possible.
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DOI 10.1007/BF01057933
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Wolfgang Rautenberg (1981). 2-Element Matrices. Studia Logica 40 (4):315 - 353.

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