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COCO
2009
Springer
78views Algorithms» more  COCO 2009»
13 years 11 months ago
Fixed-Polynomial Size Circuit Bounds
—In 1982, Kannan showed that ΣP 2 does not have nk -sized circuits for any k. Do smaller classes also admit such circuit lower bounds? Despite several improvements of Kannan’s...
Lance Fortnow, Rahul Santhanam, Ryan Williams
COCO
1998
Springer
93views Algorithms» more  COCO 1998»
13 years 9 months ago
Resource Bounded Measure and Learnability
We consider the resource bounded measure of polynomial-time learnable subclasses of polynomial-size circuits. We show that if EXP 6= MA, then every PAClearnable subclass of P=poly...
Wolfgang Lindner, Rainer Schuler, Osamu Watanabe
COCO
2011
Springer
221views Algorithms» more  COCO 2011»
12 years 4 months ago
Non-uniform ACC Circuit Lower Bounds
The class ACC consists of circuit families with constant depth over unbounded fan-in AND, OR, NOT, and MODm gates, where m > 1 is an arbitrary constant. We prove: • NTIME[2n ...
Ryan Williams
COCO
2006
Springer
75views Algorithms» more  COCO 2006»
13 years 8 months ago
Distinguishing SAT from Polynomial-Size Circuits, through Black-Box Queries
We may believe SAT does not have small Boolean circuits. But is it possible that some language with small circuits looks indistiguishable from SAT to every polynomialtime bounded ...
Albert Atserias
LATIN
2010
Springer
13 years 11 months ago
The Size and Depth of Layered Boolean Circuits
We consider the relationship between size and depth for layered Boolean circuits, synchronous circuits and planar circuits as well as classes of circuits with small separators. In ...
Anna Gál, Jing-Tang Jang