A Mathematical Structure for Modeling Inventions

The paper is the first of several ones [63,73] describing a mathematical structure developed in the FSTP project, mathematically modeling Substantive Patent Law (“SPL“) and its US Highest Courts‘ precedents primarily for emerging technologies inventions. Chapter 2 presents this mathematical structure comprising particularly 3 abstraction levels each comprising “inventive concepts“, their “subset coverings“, “concept transformations“, “induced concept relations‘, and “refinements“. Chapters 3 and 4 explain its practical application in describing an invention respectively testing it by an Innovation Expert System (IES) for its satisfying SPL. Using the notion of “inventive concepts“ for precisely describing emerging technologies inventions has been introduced into SPL precedents by the US Supreme Court during its ongoing “SPL initiative“ marked by its KSR/Bilski/Mayo/Myriad decisions. It induced, into the FSTP project, a rigorous mathematical analysis of allegedly new problems caused by these Highest Courts‘ SPL decisions about emerging technologies inventions. This analysis proved extremely fertile by enabling not only clarifying/removing obscurities in such problems but also developing powerful “patent technology“ in the FSTP project.