Chapter

Fundamentals of Computation Theory

Volume 2751 of the series Lecture Notes in Computer Science pp 171-182

Circuits on Cylinders

  • Kristoffer Arnsfelt HansenAffiliated withDepartment of Computer Science, University of Aarhus
  • , Peter Bro MiltersenAffiliated withDepartment of Computer Science, University of Aarhus
  • , V. VinayAffiliated withIndian Institute of Science

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Abstract

We consider the computational power of constant width polynomial size cylindrical circuits and nondeterministic branching programs. We show that every function computed by a \({\bf \prod}_2 \circ {\bf MOD} \circ {\bf AC}^0\) circuit can also be computed by a constant width polynomial size cylindrical nondeterministic branching program (or cylindrical circuit) and that every function computed by a constant width polynomial size cylindrical circuit belongs to ACC 0.