Instruction sequence based non-uniform complexity classes

Open Access
Authors
Publication date 2013
Number of pages 33
Publisher Ithaca, NY: ArXiv
Organisations
  • Faculty of Science (FNWI) - Informatics Institute (IVI)
Abstract
We present an approach to non-uniform complexity in which single-pass instruction sequences play a key part, and answer various questions that arise from this approach. We introduce several kinds of non-uniform complexity classes. One kind includes a counterpart of the well-known non-uniform complexity class P/poly and another kind includes a counterpart of the well-known non-uniform complexity class NP/poly. Moreover, we introduce a general notion of completeness for the non-uniform complexity classes of the latter kind. We also formulate a counterpart of the well-known complexity theoretic conjecture that NP is not included in P/poly. We think that the presented approach opens up an additional way of investigating issues concerning non-uniform complexity.
Document type Working paper
Note 19 Jul 2013
Language English
Published at http://arxiv.org/abs/1301.3297
Downloads
1301.3297v2.pd (Submitted manuscript)
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