ZPP (complexity) - Connection To Other Classes

Connection To Other Classes

Since ZPP = RPcoRP, ZPP is obviously contained in both RP and coRP.

The class P is contained in ZPP, and some computer scientists have conjectured that P = ZPP, i.e., every Las Vegas algorithm has a deterministic polynomial-time equivalent.

A proof for ZPP = EXPTIME (though that is almost certainly false) would imply that PZPP, as PEXPTIME (see time hierarchy theorem).

Read more about this topic:  ZPP (complexity)

Famous quotes containing the words connection and/or classes:

    We say that the hour of death cannot be forecast, but when we say this we imagine that hour as placed in an obscure and distant future. It never occurs to us that it has any connection with the day already begun or that death could arrive this same afternoon, this afternoon which is so certain and which has every hour filled in advance.
    Marcel Proust (1871–1922)

    There are two classes of men called poets. The one cultivates life, the other art,... one satisfies hunger, the other gratifies the palate.
    Henry David Thoreau (1817–1862)