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» Towards Polynomial Lower Bounds for Dynamic Problems
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FSTTCS
2001
Springer
14 years 1 days ago
On Polynomial Representations of Boolean Functions Related to Some Number Theoretic Problems
We say a polynomial P over ZZM strongly M -represents a Boolean function F if F(x) ≡ P(x) (mod M) for all x ∈ {0, 1}n . Similarly, P one-sidedly M -represents F if F(x) = 0 ⇐...
Erion Plaku, Igor Shparlinski
CSR
2008
Springer
13 years 9 months ago
Cracks in the Defenses: Scouting Out Approaches on Circuit Lower Bounds
Razborov and Rudich identified an imposing barrier that stands in the way of progress toward the goal of proving superpolynomial lower bounds on circuit size. Their work on "n...
Eric Allender
ICALP
2001
Springer
14 years 16 hour 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...
SAT
2005
Springer
104views Hardware» more  SAT 2005»
14 years 1 months ago
Observed Lower Bounds for Random 3-SAT Phase Transition Density Using Linear Programming
We introduce two incomplete polynomial time algorithms to solve satisfiability problems which both use Linear Programming (LP) techniques. First, the FlipFlop LP attempts to simul...
Marijn Heule, Hans van Maaren
ESA
2004
Springer
129views Algorithms» more  ESA 2004»
14 years 28 days ago
Contraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all ...
Hans L. Bodlaender, Arie M. C. A. Koster, Thomas W...