Complexity Zoo:List of Hierarchies
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Complexity classes by letter: Symbols - A - B - C - D - E - F - G - H - I - J - K - L - M - N - O - P - Q - R - S - T - U - V - W - X - Y - Z
Lists of related classes: Communication Complexity - Hierarchies - Nonuniform
The concept of a hierarchy of complexity classes is common enough that we list here some of the more notable examples of classes that are defined as the unions of hierarchies.
- AH - Arithmetic Hierarchy
- BH - Boolean Hierarchy
- CH - Counting Hierarchy
- EH - Exponential-Time, Linear-Exponent Hierarchy
- FH - Fourier Hierarchy
- PH - Polynomial-Time Hierarchy
- PHcc - Polynomial Communication Complexity Hierarchy
- QCPH - Quantum Classical Polynomial-Time Hierarchy
- QPH - Quantum Polynomial-Time Hierarchy