English

On randomized counting versus randomised decision

Computational Complexity 2018-01-09 v1

Abstract

We study the question of which counting problems admit f.p.r.a.s., under a structural complexity perspective. Since problems in #P with NP-complete decision version do not admit f.p.r.a.s. (unless NP = RP), we study subclasses of #P, having decision version either in P or in RP. We explore inclusions between these subclasses and we present all possible worlds with respect to NP v.s. RP and RP v.s. P.

Cite

@article{arxiv.1801.01901,
  title  = {On randomized counting versus randomised decision},
  author = {Eleni Bakali},
  journal= {arXiv preprint arXiv:1801.01901},
  year   = {2018}
}
R2 v1 2026-06-22T23:37:46.661Z