Self-Specifying Machines

Lane A. Hemaspaandra; Harald Hempel; Gerd Wechsung

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arXiv · cs/9910006

Self-Specifying Machines

Lane A. Hemaspaandra·Harald Hempel·Gerd Wechsung

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Abstract

We study the computational power of machines that specify their own acceptance types, and show that they accept exactly the languages that $\manyonesharp$-reduce to NP sets. A natural variant accepts exactly the languages that $\manyonesharp$-reduce to P sets. We show that these two classes coincide if and only if $\psone = \psnnoplusbigohone$, where the latter class denotes the sets acceptable via at most one question to $\sharpp$ followed by at most a constant number of questions to $\np$.

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Lane A. Hemaspaandra, Harald Hempel, Gerd Wechsung. 1999-10-01. Self-Specifying Machines. https://arxiv.org/abs/cs/9910006

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