Representation of geometric types of Boolean functions in three variables by algebraic threshold functions | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2016. № 1(31).

Algebraic threshold functions are defined in the article. It is shown that the class AT^ of all k-valued algebraic threshold functions in n variables includes the class of k-valued ordinary threshold functions in n variables and is much greater than it. It is proved that, for k = 2 and n = 3, the only geometric type is determined by a function which is not an algebraic threshold one, but others belong to the class AT|. Algebraic threshold functions are simply realized in different computing areas, including the perspective optical ones, what makes important researching them for the synthesis of highspeed information processing systems.