It helps in the realization of various Boolean functions
such as AND, OR, MUX, INVERTER, F1 and F2, as listed in Table 1.
He covers infeasible monotone systems of constraints; complexes, (hyper)graphs, and inequality systems; polytopes, positive bases, and inequality systems; monotone Boolean functions
, complexes, graphs, and inequality; and inequality systems, committees, (hyper)graphs, and alternative covers.
Rvachev  suggested using R-functions--the real valued functions that behave as continuous analogy of logical Boolean functions
Edwards uses a canonical form to express Boolean functions
in matrix algebra .
Same CGP approach was used by Miller  but again no testing instances were provided and his research was more aimed at comparing CGP to regular GA and Probabilistic Hillclimbers as a method to solve Boolean functions
On the probabilistic side we discuss applications of Fourier analysis of Boolean functions
to the study of threshold behaviour of random graphs and other stochastic models, and propose ten directions for this emerging theory.
in coding theory and cryptography.
We next provide definitions of various terms and properties which Boolean functions
should satisfy for cryptographic applications.
In stark contrast, no explicit family of boolean functions
has been shown to have w(log n) communication complexity for k = w(log n) players.
Some specific topics covered include construction of new toric quantum codes, an APN permutation in dimension six, and CCZ-equivalence of single- and multi-output Boolean functions
Within the last two decades binary decision diagrams (BDD) have become the state-of-the-art data structure in VLSI CAD for representation and manipulation of Boolean functions
Features include Boolean functions
, shell, fillet, extrude, sweep, and lathe.