
Summary: We use hypotheses of structural complexity theory to separate various NP-completeness notions. In particular, we introduce an hypothesis from which we describe a set in NP that is \({\leq}^P_T\)-complete but not \({\leq}^P_{tt}\)-complete. We provide fairly thorough analyses of the hypotheses that we introduce.
\(p\)-selectivity, truth-table completeness, Complexity classes (hierarchies, relations among complexity classes, etc.), Turing completeness, many-one completeness, \(p\)-genericity
\(p\)-selectivity, truth-table completeness, Complexity classes (hierarchies, relations among complexity classes, etc.), Turing completeness, many-one completeness, \(p\)-genericity
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