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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > ALAN SELMAN:
All reports by Author Alan Selman:

TR13-063 | 19th April 2013
Dung Nguyen, Alan Selman

Non-autoreducible Sets for NEXP

We investigate autoreducibility properties of complete sets for $\cNEXP$ under different polynomial reductions.
Specifically, we show under some polynomial reductions that there is are complete sets for
$\cNEXP$ that are not autoreducible. We obtain the following results:
- There is a $\reduction{p}{tt}$-complete set for $\cNEXP$ that is not $\reduction{p}{btt}$-autoreducible.
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TR13-047 | 27th March 2013
Christian Gla├čer, Dung Nguyen, Christian Reitwie├čner, Alan Selman, Maximilian Witek

Autoreducibility of Complete Sets for Log-Space and Polynomial-Time Reductions

Comments: 1

We investigate the autoreducibility and mitoticity of complete sets for several classes with respect to different polynomial-time and logarithmic-space reducibility notions.

Previous work in this area focused on polynomial-time reducibility notions. Here we obtain new mitoticity and autoreducibility results for the classes EXP and NEXP with respect to some restricted ... more >>>




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