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The boolean difference of a boolean function with respect to a variable x is the negative cofactor of x XOR the positive cofactor of x.

The boolean difference of a boolean function with respect to a variable x is the negative cofactor of x XOR the positive cofactor of x.

The influence of a variable x is the probability of the boolean difference with respect to x.

The probability of a boolean function is the number of TRUEs in its truth table divided by the number of truth table rows.

Can we reduce the size of a binary decision diagram by reordering the variables according to the influence?

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