A. Pavan, Alan L. Selman

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 ...
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Philippe Moser

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 ...
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John Hitchcock, Hadi Shafei

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 >>>