A resolution was defined above, but it can be described as a partition of the block multiset of the design into subdesigns, each of which is equireplicate with = 1. More generally, an -resolution is a partition of the design into subdesigns, each of which is equireplicate with .
The element alpha_resolvable is a list of index_flags, which record, for relevant positive values of , whether the property is true, false or unknown.
alpha_resolvable = element alpha_resolvable { index_flag + }