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SUMMARY First, this paper derives the prefix sum-of-products expression (PreSOP) and the number of products in a PreSOP for an interval function. Second, it derives Ψ(n ,τ p), the number of n-variable interval functions that can be represented with τp products. Finally, it shows that more than 99.9% of the n-variable interval functions can be represented with  3n − 1 products, when n is sufficiently large. These results are use

On the Numbers of Products in Prefix SOPs for Interval Functions