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Binary Operators Satisfying Two Axioms

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Find Boolean functions that satisfy two axioms. You can modify the left-hand and right-hand sides of the two equations by selecting from popup lists of formal function terms, or you can choose an axiom system with the slider.

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The tables for the operators that satisfy the selected axioms are labeled by their rule number.

Results for the first and second axiom equations are in the left and right areas. Results satisfying both axioms are shown at the bottom on a green background.

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Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA

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