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ELEMENTARY

In computational complexity theory, the complexity class ELEMENTARY is the union of the classes in the exponential hierarchy.

\rm{ELEMENTARY}=\rm{DTIME}(2^{n})\cup\rm{DTIME}(2^{2^{n}})\cup\rm{DTIME}(2^{2^{2^{n}}})\cup\cdots

The name was coined in the context of recursive functions and undecidability; most problems in it are far from elementary!

Some natural recursive problems lie outside ELEMENTARY, for example the problem of regular expression equivalence with not .

Science Fair Project Encyclopedia Contents Page
12-19-2008 14:25:18
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