An adaptive method to minimise fixed-polarity Reed-Muller expansions, combi
ning the advantages of efficient data structures in form of both lookup tab
les and ternary decision trees, is presented. The algorithm developed conve
rts arrays of cubes to exact solutions based on the desired cost criteria f
or the systems of completely specified functions. The method also allows on
e to combine the design for testability together with minimisation of hardw
are realisation. The algorithm shown is fast, efficient and requires smalle
r space and time complexity than known algorithms.