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Anoperator issaidtobeassociative , if ( A B ) C = A ( B C ) , forallA,BandCinthedomain under discussion. For instance, addition ( + )

Anoperatorissaidtobeassociative,if(AB)C=A(BC),forallA,BandCinthedomain under discussion. For instance, addition (+) is associative over the integers, while subtraction () is not. In propositional logic, both and are associative operators. What can you say about the boolean operators -> and , as regards associativity?

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