Difference between revisions of "Complexity Zoo:List of Hierarchies"

From Complexity Zoo
Jump to navigation Jump to search
(Add QCPH, QPH)
 
Line 9: Line 9:
 
* [[Complexity Zoo:E#eh|EH]] - Exponential-Time, Linear-Exponent Hierarchy
 
* [[Complexity Zoo:E#eh|EH]] - Exponential-Time, Linear-Exponent Hierarchy
 
* [[Complexity Zoo:F#fh|FH]] - Fourier Hierarchy
 
* [[Complexity Zoo:F#fh|FH]] - Fourier Hierarchy
 +
* [[Complexity Zoo:M#modph|ModPH]] - Modular Counting Hierarchy
 
* [[Complexity Zoo:P#ph|PH]] - Polynomial-Time Hierarchy
 
* [[Complexity Zoo:P#ph|PH]] - Polynomial-Time Hierarchy
 
* [[Complexity Zoo:P#phcc|PH<sup>cc</sup>]] - Polynomial Communication Complexity Hierarchy
 
* [[Complexity Zoo:P#phcc|PH<sup>cc</sup>]] - Polynomial Communication Complexity Hierarchy
 
* [[Complexity Zoo:Q#qcph|QCPH]] - Quantum Classical Polynomial-Time Hierarchy
 
* [[Complexity Zoo:Q#qcph|QCPH]] - Quantum Classical Polynomial-Time Hierarchy
 
* [[Complexity Zoo:Q#qph|QPH]] - Quantum Polynomial-Time Hierarchy
 
* [[Complexity Zoo:Q#qph|QPH]] - Quantum Polynomial-Time Hierarchy

Latest revision as of 11:40, 22 June 2023

Back to the Main Zoo - Complexity Garden - Zoo Glossary - Zoo References


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
  • ModPH - Modular Counting Hierarchy
  • PH - Polynomial-Time Hierarchy
  • PHcc - Polynomial Communication Complexity Hierarchy
  • QCPH - Quantum Classical Polynomial-Time Hierarchy
  • QPH - Quantum Polynomial-Time Hierarchy