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 ⇐...
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...
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...
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...
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...