Counting Classes: Thresholds, Parity, Mods, and Fewness

  title={Counting Classes: Thresholds, Parity, Mods, and Fewness},
  author={Richard Beigel and John Gill},
  journal={Theor. Comput. Sci.},
Counting classes consist of languages deened in terms of the number of accepting computations of nondeterministic polynomial-time Turing machines. Well known examples of counting classes are NP, co-NP, P, and PP. Every counting class is a subset of P #PP1] , the class of languages computable in polynomial time using a single call to an oracle capable of determining the number of accepting paths of an NP machine. Using closure properties of #P, we systematically develop a complexity theory for… CONTINUE READING
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