A simple game is a pair consisting of a finite set N of players and a set W ⊆ 2N of winning coalitions. (Vector-)weighted majority games ((V)WMG) are a special case of simple ga...
Abstract— A disjoint support decomposition (DSD) is a representation of a Boolean function F obtained by composing two or more simpler component functions such that the component...
Using a new exact synthesizer that automatically induces minimal universal boolean function libraries, we introduce two indicators for comparing their expressiveness: the first ba...
In this paper, we show that for every constant 0 < < 1/2 and for every constant d 2, the minimum size of a depth d Boolean circuit that -approximates Majority function on n ...
A class of formulas called factored negation normal form is introduced. They are closely related to BDDs, but there is a DPLL-like tableau procedure for computing them that operate...