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 Turing complete but not truth-table complete. We provide fairly thorough analyses of the hypotheses that we introduce. Unlike previous approaches, we ... more >>>

We strengthen an earlier notion of
resource-bounded Baire's categories, and define
resource bounded Baire's categories on small complexity classes such as P, QP, SUBEXP
and on probabilistic complexity classes such as BPP.
We give an alternative characterization of meager sets via resource-bounded
Banach Mazur games.
We show that the class ... more >>>

We study the polynomial-time autoreducibility of NP-complete sets and obtain separations under strong hypotheses for NP. Assuming there is a p-generic set in NP, we show the following:

- For every $k \geq 2$, there is a $k$-T-complete set for NP that is $k$-T autoreducible, but is not $k$-tt autoreducible ... more >>>