10.07.2015 Views

An Introduction to Randomized algorithms - School of Technology ...

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<strong>Randomized</strong> <strong>algorithms</strong>RA - a poly time rand algo for a decision problem π.each instance has only y/n answer.For I ∈ YES(π), Pr(ans(RA, I ) = y) ≥ 1/2 ;For I ∈ NO(π), Pr(ans(RA, I ) = n) = 1 ;Number <strong>of</strong> bits used r = r(n).RP = {L ⊆ Σ ∗ : ∃ such a rand algo RA for π}.RP ⊆ NP; Is NP ⊆ RP ?RA is a RP algorithm.

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