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A Hierarchy of Time-Complexities Based on CRCW PRAMs

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Abstract A hierarchy theorem for parallel time-complexities between constant and 1og n
log<log n> is presented. Suppose that t(n) is a function such that there is a TM making (t(n)) ^<Θ (1)> moves and that the ...inverse function t^<- 1>(n) is bounded by O (1og n
log<log n>). Then, there exists a language L such that Θ(t^<-1>(n)) time is necessary and sufficient for CRCW PRAMs with polynomially many processors to recognize L.
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Created Date 2015.08.24
Modified Date 2020.10.26

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