On an implication function in many-valued systems of logic

Zoltan Paul Dienes · Journal of Symbolic Logic · 1949

In a paper J. Łukasiewicz and A. Tarski study the systems arising out of the implication function C (x, y) = min(1, 1 – x + y) and the negation function Nx = 1 – x, where x, y are real numbers between 0 and 1 inclusive. Let us then write Сxy = min(1, 1 – x + y) and Nx = 1 – x. (1) In this note we shall consider another implication function, namely С′xy = ССNxyy, (2)

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