2008 IEEE 23rd Annual Conference on Computational Complexity
Constant Width Planar Branching Programs Characterize ACC^0 in Quasipolynomial Size
June 22-June 26
ISBN: 978-0-7695-3169-4
We revisit the computational power of constant width polynomial size planar nondeterministic branching programs. We show that they are capable of computing any function computed by a ${{\bf \Pi}_2 \circ {\rm \bf CC^0} \circ {\rm \bf AC^0}}$ circuit in polynomial size. In the quasipolynomial size setting we obtain a characterization of ${\rm \bf ACC^0}$ by constant width planar nondeterministic branching programs.
Index Terms:
Planarity, Branching Programs, Constant Width, Circuits
Citation:
Kristoffer Arnsfelt Hansen, "Constant Width Planar Branching Programs Characterize ACC^0 in Quasipolynomial Size," ccc, pp.92-99, 2008 IEEE 23rd Annual Conference on Computational Complexity, 2008