On BPP versus NP (semi-circle up) coNP for ordered read-once branching programs

  • Authors:
  • Farid Ablayev;Marek Karpinski;Rustam Mubarakzjanov

  • Affiliations:
  • University of Bonn, Bonn, Germany;University of Bonn, Bonn, Germany and/ bInternational Computer Science Institute, Berkeley, CA,;University of Kazan, Kazan, Russia

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2001

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Abstract

We investigate the relationship between probabilistic and nondeterministic complexity classes PP, BPP, NP and coNP with respect to ordered read-once branching programs (OBDDs). We exhibit two explicit Boolean functions qn; Rn such that: (1) qn : {0,1}n → { 0,1} belongs to BPP (NP (semi-circle up) coNP) in the context of OBDDs; (2) Rn : {0,1}n → {0,1} belongs to PP \ (BPP(semi-circle up) NP (semi-circle up) coNP) in the context of OBDDs. Both of these functions are not in AC0.