%0 Generic %A Bentzien, Levke %D 2000 %F heidok:1384 %K Generizität , ressourcenbeschränktcomplexity, nondeterminism , completeness , resource-bounded , genericity %R 10.11588/heidok.00001384 %T NP-completeness notions under strong hypotheses %U https://archiv.ub.uni-heidelberg.de/volltextserver/1384/ %X A variety of completeness notions for the complexity class NP are studied under strong hypotheses about the size of this class. These hypotheses are based on the concept of resource-bounded genericity developed by Ambos-Spies, Fleischhack and Huwig. It is shown that many natural completeness notions for NP can be separated under such hypotheses. E.g., Turing- and truth-table-completeness, truth-table- and bounded-truth-table-completeness (btt-completeness), btt-completeness with two allowed queries and btt-completeness with three allowed queries, and others.