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» Superpolynomial Lower Bounds for Monotone Span Programs
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COCO
1993
Springer
133views Algorithms» more  COCO 1993»
13 years 11 months ago
On Span Programs
We introduce a linear algebraic model of computation, the Span Program, and prove several upper and lower bounds on it. These results yield the following applications in complexit...
Mauricio Karchmer, Avi Wigderson
ICML
2005
IEEE
14 years 8 months ago
Bounded real-time dynamic programming: RTDP with monotone upper bounds and performance guarantees
MDPs are an attractive formalization for planning, but realistic problems often have intractably large state spaces. When we only need a partial policy to get from a fixed start s...
H. Brendan McMahan, Maxim Likhachev, Geoffrey J. G...
ICALP
2001
Springer
14 years 4 days ago
Lower Bounds for the Weak Pigeonhole Principle Beyond Resolution
We work with an extension of Resolution, called Res(2), that allows clauses with conjunctions of two literals. In this system there are rules to introduce and eliminate such conju...
Albert Atserias, Maria Luisa Bonet, Juan Luis Este...
FCT
2005
Springer
14 years 1 months ago
On the Incompressibility of Monotone DNFs
We prove optimal lower bounds for multilinear circuits and for monotone circuits with bounded depth. These lower bounds state that, in order to compute certain functions, these cir...
Matthias P. Krieger
DAM
1998
88views more  DAM 1998»
13 years 7 months ago
Neither Reading Few Bits Twice Nor Reading Illegally Helps Much
We first consider so-called (1,+s)-branching programs in which along every consistent path at most s variables are tested more than once. We prove that any such program computing...
Stasys Jukna, Alexander A. Razborov