I have been tasked with finding if a a function can be represented through threshold logic, and if that is the case to find the associated weights and threshold. The function is:
$$ f = x_7 + x_6 \cdot (x_5+x_4 \cdot (x_3 + x_2 \cdot x_1)) $$
The first step to check if it is a threshold function is check if it is unate, which I showed it is (each variable is positive), but moving beyond that appear my doubts. All the material I've read so far uses the truth table to build a set of inequalities, and then those are solved to find the weights and threshold. The problem is that all those examples are shown with functions of few variables, and in this example it gets out of hand to try to work over a truth table or the enormous set of equations.
It seems obvious there must be some consideration escaping me which helps solve the problem. So far, I've thought that many of the inequalities would reduce into not giving new information, but I'm at a miss on how to isolate those that do give useful information.
Any help with a general method to find the weights and threshold?