All reports by Author Alan Selman:

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TR13-063
| 19th April 2013
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Dung Nguyen, Alan Selman#### Non-autoreducible Sets for NEXP

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TR13-047
| 27th March 2013
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Christian Glaßer, Dung Nguyen, Christian Reitwießner, Alan Selman, Maximilian Witek#### Autoreducibility of Complete Sets for Log-Space and Polynomial-Time Reductions

Comments: 1

Dung Nguyen, Alan Selman

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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Christian Glaßer, Dung Nguyen, Christian Reitwießner, Alan Selman, Maximilian Witek

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 >>>