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A formulation of "Ne\v{c}iporuk's lower bound method" slightly more inclusivethan the usual complexity-measure-specific formulation is presented. Using thisgeneral formulation, limitations to lower bounds achievable by the method areobtained for several computation models, such as branching programs and Booleanformulas having access to a sublinear number of nondeterministic bits. Inparticular, it is shown that any lower bound achievable by the method ofNe\v{c}iporuk for the size of nondeterministic and parity branching programs isat most $O(n^{3/2}/\log n)$.

Nondeterminism and an abstract formulation of Ne\v{c}iporuk's lower bound method