68Q15-CountingComplexityClass.tex

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\pmcanonicalname{CountingComplexityClass}
\pmcreated{2013-03-22 13:02:31}
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\pmtitle{counting complexity class}
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\pmtype{Definition}
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\begin{document}
If $\mathcal{NC}$ is a complexity class associated with non-deterministic machines then $\mathcal{\#C}=\{\#R\mid R\in\mathcal{NC}\}$ is the set of counting problems associated with each search problem in $\mathcal{NC}$.  In particular, $\mathcal{\#P}$ is the class of counting problems associated with $\mathcal{NP}$ search problems.
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