The size of SPP

نویسنده

  • John M. Hitchcock
چکیده

Derandomization techniques are used to show that at least one of the following holds regarding the size of the counting complexity class SPP. 1. μp(SPP) = 0. 2. PH ⊆ SPP. In other words, SPP is small by being a negligible subset of exponential time or large by containing the entire polynomial-time hierarchy. This addresses an open problem about the complexity of the graph isomorphism problem: it is not weakly complete for exponential time unless PH is contained in SPP. It is also shown that the polynomial-time hierarchy is contained in SPP if NP does not have p-measure 0.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 320  شماره 

صفحات  -

تاریخ انتشار 2003