The characterization of the sub-pseudocubes of a pseudocube

Recently introduced pseudocubes and SPP forms have made possible to represent Boolean functions with a more compact expression than in the SP form. In this report we present new properties of pseudocubes. In order to study and manipulate pseudocubes we count and characterize sub-pseudocubes. Letting P be a pseudocube, we derive a normal form and the canonical expression of any sub-pseudoproduct of P.