Instruction sequence based non-uniform complexity classes

J. A. Bergstra; C. A. Middelburg

doi:10.7561/sacs.2014.1.47

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arXiv · 1301.3297

Instruction sequence based non-uniform complexity classes

J. A. Bergstra·C. A. Middelburg

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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.

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BibTeX RIS

J. A. Bergstra, C. A. Middelburg. 2013-07-19. Instruction sequence based non-uniform complexity classes. https://doi.org/10.7561/sacs.2014.1.47

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