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COCO
1997
Springer
144views Algorithms» more  COCO 1997»
13 years 11 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan
CORR
2006
Springer
105views Education» more  CORR 2006»
13 years 7 months ago
Cohomology in Grothendieck Topologies and Lower Bounds in Boolean Complexity II: A Simple Example
In a previous paper we have suggested a number of ideas to attack circuit size complexity with cohomology. As a simple example, we take circuits that can only compute the AND of t...
Joel Friedman
CIE
2007
Springer
14 years 1 months ago
Circuit Complexity of Regular Languages
We survey our current knowledge of circuit complexity of regular languages and we prove that regular languages that are in AC0 and ACC0 are all computable by almost linear size ci...
Michal Koucký
CSR
2010
Springer
14 years 14 days ago
Balancing Bounded Treewidth Circuits
Algorithmic tools for graphs of small treewidth are used to address questions in complexity theory. For both arithmetic and Boolean circuits, it is shown that any circuit of size ...
Maurice Jansen, Jayalal M. N. Sarma
JACM
2002
122views more  JACM 2002»
13 years 7 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer