Logical formalisation and algorithms allow constructive, correct and complete solutions written in the language of production rules,
Boolean functions, together with their deductive proofs.
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.
As discussed earlier, for n inputs there are 2 exp([2.sup.n]) possible
Boolean functions. These
Boolean functions can be mapped upon a limited set of NPN-equivalent classes.
This approach is the generalization of BNs based on multilinear interpolation of
Boolean functions.
Boolean functions are replaced by their real-valued realizations called the Boolecubes or the Hillcubes.
In its original version for
Boolean functions this term accounts for the output difference of pair of data points located at Hamming distance 2:
Same CGP approach was used by Miller [14] 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.