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Probabilistic quantifiers, adversaries, and complexity classes : An overview
Ist Teil von
Structure in Complexity Theory, 1986, p.383-400
Ort / Verlag
Berlin, Heidelberg: Springer Berlin Heidelberg
Erscheinungsjahr
1986
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
We consider inclusion relations among a multitude of classical complexity classes and classes with probabilistic components. A key tool is a method for characterizing such classes in terms of the ordinary quantifiers ∃ and ∀ together with a quantifier ∃+, which means roughly “for most”, applied to polynomial-time predicates. This approach yields a uniform treatment which leads to easier proofs for class-inclusion and hierarchy-collapse results. Furthermore the method captures some recently introduced game classes and game hierarchies.
This survey also includes a charting of class-inclusion and oracle-based separation results.