Abstract:A new extended Green-Sasao hierarchy of families and forms with a new
sub-family for many-valued Reed-Muller logic is introduced. Recently, two
families of binary canonical Reed-Muller forms, called Inclusive Forms (IFs)
and Generalized Inclusive Forms (GIFs) have been proposed, where the second
family was the first to include all minimum Exclusive Sum-Of-Products
(ESOPs). In this paper, we propose, analogously to the binary case, two
general families of canonical ternary Reed-Muller forms, c… Show more
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