Dualization of regular Boolean functions (Q1084376)

A monotonic Boolean function is regular if its variables are naturally ordered by decreasing 'strength', so that shifting to the right the non- zero entries of any binary false point always yields another false point. Peled and Simeone recently published a polynomial algorithm to generate the maximal false points (MFP's) of a regular function from a list of its minimal true points (MTP's). Another efficient algorithm for this problem is presented here, based on a characterization of the MFP's of a regular function in terms of its MTP's. This result is also used to derive a new upper bound on the number of MFP's of a regular function.