Related Complexity Classes
The definition of RP says that a YES answer is always right and that a NO answer is usually right. The complexity class co-RP is similarly defined, except that NO is always right and YES is usually right. In other words, it accepts all YES instances but can either accept or reject NO instances. The class BPP describes algorithms that can give incorrect answers on both YES and NO instances, and thus contains both RP and co-RP. The intersection of the sets RP and co-RP is called ZPP. Just as RP may be called R, some authors use the name co-R rather than co-RP.
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