OASIcs.CCA.2009.2266.pdf
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Relativizations of the P =? DNP Question for the BSS Model
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6th International Conference on Computability and Complexity in Analysis (CCA'09) (CCA 2009)
Series: Open Access Series in Informatics (OASIcs) - License:
Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license
- Publication Date: 2009-11-25
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Christine Gaßner. Relativizations of the P =? DNP Question for the BSS Model. In 6th International Conference on Computability and Complexity in Analysis (CCA'09). Open Access Series in Informatics (OASIcs), Volume 11, pp. 141-148, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)
https://doi.org/10.4230/OASIcs.CCA.2009.2266
Abstract
We consider the uniform BSS model of computation where the machines can perform additions, multiplications, and tests of the form $x\geq 0$. The oracle machines can also check whether a tuple of real numbers belongs to a given oracle set ${\cal O}$ or not. We construct oracles such that the classes P and DNP relative to these oracles are equal or not equal.
Subject Classification
Keywords
- BSS machines
- oracle machines
- relativizations
- P-DNP problem
- real knapsack problem
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