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An algorithm whose behaviour is determined by its input and a generator producing uniformly random numbers.

12 votes

Randomized algorithm that "looks" deterministic?

Consider a complete binary tree with all $2^n$ leaves containing 0, except one leaf that contains 1. The task is to find the leaf that contains 1. Against any deterministic search algorithm it is po …
András Salamon's user avatar
5 votes

What specific evidence is there for P = RP?

Valiant and Vazirani showed in 1986 that there is a randomized reduction of SAT to $USAT_Q$, which is the decision problem based on SAT where only the difference between satisfiable and unsatisfiable …
András Salamon's user avatar
28 votes
4 answers
2k views

What specific evidence is there for P = RP?

RP is the class of problems decidable by a nondeterministic Turing machine that terminates in polynomial time, but that is also allowed one-sided error. P is the usual class of problems decidable by …
András Salamon's user avatar