Example of a 4-element Boolean algebra: the 4 divisors of 6 with 1 as zero and 6 as unity element, operators as complement operator, as join operator and as meet operator, build a Boolean algebra.
Properties Non-associative iff [|#s5]. Hence in a nontrivial Boolean algebra Converse Nonimplication is nonassociative .Clearly , it is associative iff.Non-commutative
An example for converse nonimplication in computer science can be found when performing a right outer join on a set of tables from a database , if records not matching the join-condition from the "left" table are being excluded.
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