A hierarchy result for read-once branching programs with restricted parity nondeterminism

  • Authors:
  • Petr Savický;Detlef Sieling

  • Affiliations:
  • Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague, Czech Republic;Universität Dortmund, FB Informatik, Dortmund, Germany

  • Venue:
  • Theoretical Computer Science - Mathematical foundations of computer science 2000
  • Year:
  • 2005

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Abstract

Restricted branching programs are considered in complexity theory in order to study the space complexity of sequential computations and in applications as a data structure for Boolean functions. In this paper (⊕, k)-branching programs and (∨, k)-branching programs are considered, i.e., branching programs starting with a ⊕- (or ∨-)node with a fan-out of k whose successors are k read-once branching programs. This model is motivated by the investigation of the power of nondeterminism in branching programs and of similar variants that have been considered as a data structure. Lower bound methods and hierarchy results for polynomial size (⊕, k)- and (∨, k)-branching programs with respect to k are presented.